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engineering
machine elements in mechanical design

Theory Of Machines Kinematics And Dynamics 3rd Edition Sadhu Singh - Solutions

During torsional vibration of a shaft, the node is characterized by the(a) maximum angular velocity(b) maximum angular displacement(c) maximum angular acceleration(d) zero angular displacement.
In a slider-crank mechanism, the maximum acceleration of slider is obtained when the crank is(a) at the inner dead centre position(b) at the outer dead centre position(c) exactly midway position between the two dead centres(d) slightly in advance of the midway position between the two dead centres.
Consider the following statements for completely balancing a single rotating mass:1). Another rotating mass placed diametrically opposite in the same plane balances the unbalanced mass.2). Another rotating mass placed diametrically opposite in a parallel plane balances the unbalanced mass.3). Two
Consider the following statements in case of reverted gear train:1). The direction of rotation of the first and the last gear is the same 2). The direction of rotation of the first and the last gear is opposite 3). The first and the last gears are on the same shaft 4). The first and the last gears
The instantaneous centre of rotation of a rigid thin disc rolling without slip on a plane rigid surface is located at(a) the centre of the disc(b) an infinite distance perpendicular to the plane surface(c) the point of contact(d) the point on the circumference situated vertically opposite to the
Match List I (Kinematic pairs) with List II (Practical example) and select the correct answer using the codes given below the lists: List I (Kinematic pairs) A. Sliding pair B. Revolute pair C. Rolling pair D. Spherical pair Codes: List II (Practical example) 1. A road roller rolling over the
The choice of displacement diagram during rise or return of a follower of a cam-follower mechanism is based on dynamic considerations. For high speed cam follower mechanism, the most suitable displacement for the follower is(a) cycloidal motion(b) simple harmonic motion(c) parabolic or uniform
A linkage is shown below in the Fig. 47 in which links \(A B C\) and \(D E F\) are ternary links whereas \(A F, B E\) and \(C D\) binary links.The degrees of freedom of the linkage when link \(A B C\) is fixed are(a) 0(b) 1(c) 2(d) 3 . FO A Fig.47 M B D
Match List I (Mechanism) with List II (Motion) and select the correct answer using the codes given below the lists: List I (Mechanism) A. Hart mechanism B. Pantograph C. Whitworth mechanism D. Scotch yoke Codes: List II (Motion) 1. Quick return motion 2. Copying mechanism 3. Exact straight line
Match List (Connecting shafts) with List II (Couplings) and select the correct answer using the codes given below the lists: List I (Connecting shaft) A. In perfect alignment B. With angular misalignment of 10 C. Shafts with parallel misalignment D. Where one of the shafts may undergo more
The crank and slotted lever quick-return motion mechanism is shown in Fig.48. The length of links \(O_{1} O_{2}, O_{1} C\) and \(O_{2} A\) are \(10 \mathrm{~cm}, 20 \mathrm{~cm}\) and \(5 \mathrm{~cm}\) respectively.The quick return ratio of the mechanism is(a) 3.0(b) 2.75(c) 2.0(d) 0 . A C 01
If the rotating mass of a rim type flywheel is distributed on another rim type fly wheel whose mean radius is half the mean radius of the former, then energy stored in the latter at the same speed will be(a) four times the first one(b) same as the first one(c) one-fourth of the first one(d) two
The nature of the governors is shown by the graph between radius (r) of rotation and controlling force \((\mathrm{F})\). Which of the following is an isochronous governor? (a) F (b) F (c) F r Fig.49 (d) F r
The radius of the friction circle in a journal bearing is dependent on coefficient of friction and the(a) angular velocity of the journal(b) radius of the journal(c) magnitudes of the forces on the journal(d) journal and bearing clearance.
In a collar thrust bearing, the number of collars have been doubled while maintaining coefficient of friction and axial thrust same. It will result in(a) same friction torque and same bearing pressure(b) double friction torque and half bearing pressure(c) double friction torque and same bearing
In a Hartnell governor, the mass of each ball is \(2.5 \mathrm{~kg}\). Maximum and minimum speeds of rotation are \(10 \mathrm{rad} / \mathrm{s}\) and \(8 \mathrm{rad} / \mathrm{s}\) respectively. Maximum and minimum radii of rotation are \(20 \mathrm{~cm}\) and \(14 \mathrm{~cm}\) respectively.
A rod of uniform diameter is suspended from one of its ends in vertical plane. The mass of the rod is ' \(m\) ' and length ' \(l\) ', the natural frequency of this rod in \(\mathrm{Hz}\) for small amplitude is(a) \(\frac{1}{2 \pi} \sqrt{\frac{g}{l}}\)(b) \(\frac{1}{2 \pi} \sqrt{\frac{g}{3 l}}\)(c)
The mass moment of inertia of the two rotors in a two rotor system are \(100 \mathrm{~kg} \cdot \mathrm{m}^{2}\) and \(10 \mathrm{~kg} \cdot \mathrm{m}^{2}\). The length of the shaft of uniform diameter between the rotors is \(110 \mathrm{~cm}\). The distance of node from the rotor of lower moment
A shaft of \(50 \mathrm{~mm}\) diameter and \(1 \mathrm{~m}\) length carries a disc which has mass eccentricity equal to 190 microns. The displacement of the shaft at a speed which is \(90 \%\) of critical speed in microns is(a) 810(b) 900(c) 800(d) 820 .
Fig. 50 shows a rigid body of mass \(m\) having radius of gyration \(k\) about its centre of gravity. It is to be replaced by an equivalent dynamical system of two masses placed at \(A\) and \(B\). The mass at \(A\) should be(a) \(\frac{a \times m}{a+b}\)(b) \(\frac{b \times m}{a+b}\)(c)
\(f=3(n-1)-2 j\). In the Grubler's equation for planar mechanisms given, \(j\) is the(a) Number of mobile links(b) Number of links(c) Number of lower pairs(d) Length of the longest link.
Which of the following are examples of forced closed kinematic pairs?1). Cam and roller mechanism 2). Door closing mechanism 3). Slider-crank mechanism 4). Automotive clutch operating mechanism Select the correct answer using the codes given below:Codes:(a) 1,2 , and 4(b) 1 and 3(c) 2,3 , and 4(d)
Which of the mechanisms shown in Fig. 51 do/does not have single degree of freedom?(a) 3 and 4(b) 2 and 3(c) 3 only(d) 4 only. (1) (2) (3) (4) Fig.51
Two points, \(A\) and \(B\) located along the radius of a wheel, as shown in the Fig.52, have velocities of 80 and \(140 \mathrm{~m} / \mathrm{s}\), respectively. The distance between points \(A\) and \(B\) is \(300 \mathrm{~mm}\). The radius of wheel is(a) \(400 \mathrm{~mm}\)(b) \(500
In a slider-crank mechanism, the velocity of piston becomes maximum when(a) Crank and connecting rod are in line with each other(b) Crank is perpendicular to the line of stroke of the piston(c) Crank and connecting rod are mutually perpendicular(d) Crank is \(120^{\circ}\) with the line of stroke.
Three positions of the quick-return mechanism are shown in Fig.53. In which of the cases does the Coriolis component of acceleration exist?Select the correct answer using the codes given below:Codes:(a) 1 only(b) 1 and 2(c) 1,2 , and 3(d) 2 and 3 . (1) Fig.53 R 90 (2) (3)
The below Fig. 54 shows a circular disc of \(1 \mathrm{~kg}\) mass and \(0.2 \mathrm{~m}\) radius undergoing unconstrained planar motion under the action of two forces as shown. The magnitude of angular acceleration \(\alpha\) of the disc is(a) \(50 \mathrm{rad} / \mathrm{s}^{2}\)(b) \(100
For a slider-crank mechanism with radius of crank \(\mathrm{r}\), length of connecting rod \(l\), obliquity ratio \(n\), crank rotating at an angular velocity \(\omega\); for any angle \(\theta\) of the crank match, List I (Kinematic Variable) with List II (Equation) and select the correct answer
Fig. 55 shows Klien's construction for slider-crank mechanism \(O C P\) drawn to full scale. What velocity does \(C D\) represent?(a) Velocity of the crank pin(b) Velocity of the piston(c) Velocity of the piston with respect to crank pin(d) Angular velocity of the connecting rod. Fig.55 D
The maximum fluctuation of energy \(\mathrm{E}_{p}\), during a cycle for a flywheel is(a) \(I\left(\omega_{\max }^{2}-\omega_{\min }^{2}\right)\)(b) \(\frac{1}{2} \cdot I \cdot \omega_{a v} \cdot\left(\omega_{\max }-\omega_{\min }\right)\)(c) \(\frac{1}{2} \cdot I \cdot K_{e s} \cdot \omega_{a
For minimizing speed fluctuations of an engine as a prime mover, it must have(a) Only a flywheel fitted to the crankshaft(b) A governor provided in the system(c) Both a flywheel and a governor provided in the system(d) Neither a flywheel nor a governor.
Effect of friction, at the sleeve of a centrifugal governor is to make it(a) More sensitive(b) More stable(c) Insensitive over a small range of speed(d) Unstable.
A circular disc having a mass of \(30 \mathrm{~kg}\) is moved asymmetrically between two bearings \(A\) and \(B\) as shown in the Fig.56. It is used as an eccentric cam with an eccentricity of \(0.01 \mathrm{~m}\). If the shaking force on each of the bearings is not to exceed \(1500 \mathrm{~N}\),
The below Fig. 57 shows the schematic diagram of an IC engine producing a torque \(T=41 \mathrm{Nm}\) at the given instant. The Coulomb friction coefficient between the cylinder and the piston is 0.08 . If the mass of the piston is \(0.5 \mathrm{~kg}\) and the crank radius is \(0.1 \mathrm{~m}\),
Consider the following, modifications regarding avoiding the interference between gears:1). The centre distance between meshing gears be increased 2). Addendum of the gear be modified 3). Teeth should be undercut slightly at the root 4). Pressure angle should be increased 5). Circular pitch be
In a reverted gear train, two gears \(P\) and \(Q\) are meshing, \(Q-R\) is a compound gear, and \(R\) and \(S\) are meshing. The modules of \(P\) and \(R\) are \(4 \mathrm{~mm}\) and \(5 \mathrm{~mm}\) respectively. The number of teeth in \(P, Q\) and \(R\) are 20, 40 and 25 respectively. The
When two spur gears having involute profiles on their teeth engage, the line of action is tangential to the(a) Pitch circles(b) Dedendum circles(c) Addendum circles(d) Base circles.
If the annular wheel of an epicyclic gear train has 100 teeth and the planet wheel has 20 teeth, the number of teeth on the sun wheel is(a) 80(b) 60(c) 40(d) 20 .
The double slider-crank chain is shown below in the Fig. 58 in its three possible inversions. The link shown hatched is the fixed link:Which one of the following statements is correct?(a) Inversion (1) is for ellipse trammel and inversion (2) is for Oldham coupling(b) Inversion (1) is for ellipse
\(A B C D\) is a four bar mechanism, in which \(A D\) is the fixed link, and link \(B C\), is in the form of a circular disc with centre \(P\). In which one of the following cases \(P\) will be the instantaneous centre of the disc?(a) If it lies on the perpendicular bisector of line \(B C\)(b) If
In the Fig. 60 given below, the magnitude of absolute angular velocity of link 2 is 10 radians per second while that of link 3 is 6 radians per second. What is the angular velocity of link 3 relative to 2 ?(a) 6 radians per second(b) 16 radians per second(c) 4 radians per second(d) 14 radians per
\(A B C D\) is a mechanism with link lengths \(A B=200, B C=300, C D=400\) and \(D A=350\). Which one of the following links should be fixed for the resulting mechanism to be a double crank mechanism? (All lengths are in \(\mathrm{mm}\) )(a) \(A B\)(b) \(B C\)(c) \(C D\)(d) \(D A\).
The crank of the mechanism shown below in the Fig. 61 rotates at a uniform angular velocity \(\omega\).Which one of the following diagrams shows the velocity of slider \(x\) with respect to the crank angle? Fig.61
In the plate cam mechanism with reciprocating roller follower, in which one of the following cases the follower has constant acceleration?(a) Cycloidal motion(b) Simple harmonic motion(c) Parabolic motion(d) 3-4-5 polynimial motion.
Which one of the following statements is correct?In a petrol engine mechanism the velocity of the piston is maximum when the crank is(a) at the dead centres(b) at right angles to the line of stroke(c) slightly less than \(90^{\circ}\) to line of stroke(d) slightly above \(90^{\circ}\) to line of
In a differential mechanism, two equal sized bevel wheels \(A\) and \(B\) are keyed to the two halves of the rear axle of a motor car. The car follows a curved path. Which one of the following statements is correct?The wheels \(A\) and \(B\) will resolve at different speeds and the casing will
Which one of the following conversions is used by a lawn-sprinkler which is a four bar mechanisms?(a) Reciprocating motion to rotary motion(b) Reciprocating motion to oscillatory motion(c) Rotary motion to oscillatory motion(d) Oscillatory motion to rotary motion.
In the mechanism shown below in Fig.62, link 3 has(a) curvilinear translation and all points in it trace out identical cycloids(b) curvilinear translation and all points in it trace out identical involutes(c) linear translation and all points in it trace out identical helices(d) linear translation
Consider the following methods:(1) Trifilar suspension(2) Torsional oscillation(3) Fluctuation of energy of engine(4) Weight measurement and measurement of radius of flywheel Which of the above methods are used to determine the polar mass moment of inertia of an engine flywheel with arms?(a) 1 and
A connecting rod has a mass of \(0.5 \mathrm{~kg}\). The radius of gyration through its centre of gravity is \(5 \mathrm{~cm}\) and its acceleration is \(2 \times 10^{4} \mathrm{rad} / \mathrm{s}^{2}\). The equivalent two-mass system for the connecting rod has a radius of gyration \(6
Which one of the following statements is correct?A governor will be stable if the radius of rotation of the balls(a) increases as the equilibrium speed decreases(b) decreases as the equilibrium speed increases(c) increases as the equilibrium speed increases(d) remains unaltered with the change in
Which one of the following statements in the context of balancing in engines is correct?(a) Magnitude of the primary unbalancing force is less than the secondary unbalancing force(b) The primary unbalancing force attains its maximum value twice in one revolution of the crank(c) The hammer blow in
A four-cylinder in-line reciprocating engine is shown in the Fig. 63 given below. The cylinders are numbered 1 to 4 and the firing order is 1-4-2-3:Which one of the following statements is correct?(a) Both primary and secondary forces are balanced(b) Only primary force is balanced(c) Only secondary
Match List I with List II and select the correct answer using the codes given below the lists: List I A. Open loop system B. Closed loop system C. Step input D. Sinusoidal input Codes: List II 1. Frequency domain analysis 2. More stable 3. Less stable 4. Time domain analysis D133- 64242 A B C D (a)
An epicyclic gear train has 3 shafts \(A, B\) and \(C . A\) is an input shaft running at \(100 \mathrm{rpm}\) clockwise. \(B\) is an output shaft running at \(250 \mathrm{rpm}\) clockwise. Torque on \(A\) is \(50 \mathrm{kNm}\) (clockwise). \(C\) is a fixed shaft. The torque to fix \(C\)(a) is \(20
Which of the following is a closed-loop control system?(a) Traffic control on the roads by lights where the timing mechanism is present irrespective of the intensity of traffic(b) Switching off the street lights of a tower at a predetermined time by a time-switch irrespective of the fact that the
The power transmitted by a belt is dependent on the centrifugal effect in the belt. The maximum power can be transmitted when the centrifugal tension is(a) \(\frac{1}{3}\) of tension \(\left(T_{1}\right)\) on the tight side(b) \(\frac{1}{3}\) of total tension \(\left(T_{t}\right)\) on the tight
The length of the belt in the case of a cross-belt drive is given in terms of centre distance between pulleys \((C)\), diameters of the pulleys \(D\) and \(\mathrm{d}\) as(a) \(2 C+\frac{\pi}{2}(D+d)+\frac{(D+d)^{2}}{4 C}\)(b) \(2 C+\frac{\pi}{2}(D-d)+\frac{(D+d)^{2}}{4 C}\)(c) \(2
Which one of the following is the correct value of the natural frequency \(\left(\omega_{n}\right)\) of the system given above? (a) k www K3 15 www www 3 m 1 1/2 k + k + m (b) 3k Fig.64 (c) k m 3m 1/2 (d) k3 + 1 k m + 1 k 71/2
Consider the following statements:1). Coriolis acceleration component in a slotted bar mechanism is always perpendicular to the direction of the slotted bar 2). In a 4-link mechanism, the instantaneous centre of rotation of the input link and output link always lies on a straight line along the
Consider the following statements concerning centrifugal governors:1). The slope of the controlling force curve should be less than that of the straight line representing the centripetal force at the speed considered for the stability of a centrifugal governor 2). Isochronism for a centrifugal
Consider the following statements for a 4-cylinder in-line engine whose cranks are arranged at regular intervals of \(90^{\circ}\).1). There are 8 possible firing orders for the engine 2). Primary force will remain unbalanced for some firing orders Which of the statements given above is/are
In the below Fig. 65 shown, if the speed of the input shaft of the spur gear train is \(2400 \mathrm{rpm}\) and the speed of the output shaft is \(100 \mathrm{rpm}\), what is the module of the gear 4 ?(a) 1.2(b) 1.4(c) 2(d) 2.5 . T3 = 10! T = 60 www. OUTPUT SHAFT TA T 35 mm m = 1 mm INPUT SHAFT
Spiral gears are used to connect(a) two parallel shafts.(b) two intersecting shafts.(c) two non-parallel and non-intersecting shafts.(d) None of the above.
The crank of slider-crank punching press has a mass moment of inertia of \(1 \mathrm{kgm}^{2}\). The below Fig. 66 shows the torque demand per revolution for a punching operation. If the speed of the crank is found to drop from \(30 \mathrm{rad} / \mathrm{s}\) to \(20 \mathrm{rad} / \mathrm{s}\)
A single cylinder, four-stroke I.C. engine rotating at \(900 \mathrm{rpm}\) has a crank length of \(50 \mathrm{~mm}\) and a connecting rod length of \(200 \mathrm{~mm}\). If the effective reciprocating mass of the engine is \(1.2 \mathrm{~kg}\), what is the approximate magnitude of the maximum
In a kinematic chain, a quaternary joint is equivalent to(a) one binary joint(b) two binary joints(c) three binary joints(d) four binary joints.
Consider the following statements:1). The effect of gyroscopic couple on a car while negotiating a curve is that its outer wheels tend to get lifted from the ground 2). If spin vector is rotated about the precession vector axis in a direction opposite to that of precession through \(90^{\circ}\),
Consider the following statements:1). The degree of freedom for lower kinematic pairs is always equal to one 2). A ball-and-socket joint has 3 degrees of freedom and is a higher kinematic pair 3). Oldham's coupling mechanism has two prismatic pairs and two revolute pairs Which of the statements
A Hooke's joint is used to connect two(a) coplanar and non-parallel shafts(b) non-coplanar and non-parallel shafts(c) coplanar and parallel shafts(d) non-coplanar and parallel shafts.
Which one of the following governors is used to drive a gramophone?(a) Watt governor(b) Porter governor(c) Pickering governor(d) Hartnell governor.
In the Fig. 67 given below, the link 2 rotates at an angular velocity of \(2 \mathrm{rad} / \mathrm{s}\). What is the magnitude of Coriolis acceleration experienced by the link 4 ?(a) 0(b) \(0.8 \mathrm{~m} / \mathrm{s}^{2}\)(c) \(0.24 \mathrm{~m} / \mathrm{s}^{2}\)(d) \(0.32 \mathrm{~m} /
The below Fig. 67 shows a cam with a circular profile, rotating with a uniform angular velocity of \(\omega \mathrm{rad} / \mathrm{s}\). What is the nature of displacement of the follower?(a) Uniform(b) Parabolic(c) Simple harmonic(d) Cycloidal. Fig.68
Which one of the following expresses the sensitiveness of a governor?(a) \(\frac{N_{1}+N_{2}}{2 N_{1} N_{2}}\)(b) \(\frac{N_{1}-N_{2}}{2 N_{1} N_{2}}\)(c) \(\frac{2\left(N_{1}+N_{2}\right)}{N_{1}-N_{2}}\)(d) \(\frac{2\left(N_{1}-N_{2}\right)}{N_{1}+N_{2}}\)\(N_{1}=\) Maximum equilibrium
What is the number of nodes in a shaft carrying three rotors?(a) Zero(b) 2(c) 3(d) 4 .
In case of partial balancing of single-cylinder reciprocating engine, what is the primary disturbing force along the line of stroke?(a) \(\mathrm{cmr} \omega^{2} \cos \theta\)(b) \(\left(1-c^{2}\right) m r \omega^{2} \cos \theta\)(c) \((1-c) m \omega^{2} r \cos 2 \theta\)(d) \((1-c) m \omega^{2} r
Consider the following statements:1). The condition of stability of a governor requires that the slope of the controlling force curve should be less than that of the line representing the centripetal force at the equilibrium speed under consideration 2). For a centrifugal governor when the load on
What is the number of instantaneous centres of rotation for a 6-link mechanism?(a) 4(b) 6(c) 12(d) 15 .
In which one of the following is a flywheel generally employed?(a) Lathe(b) Electric motor(c) Punching machine(d) Gearbox.
What is the value of pressure angle generally used for involute gears?(a) \(35^{\circ}\)(b) \(30^{\circ}\)(c) \(25^{\circ}\)(d) \(20^{\circ}\).
Consider the following statements:1). A stub tooth has a working depth larger than that of a full-depth tooth.2). The path of contact for involute gears in an arc of a circle.Which of the statements given above is/are correct?(a) Only 1(b) Only 2(c) Both 1 and 2(d) Neither 1 nor 2.
Consider the following statements:Cam followers are generally classified according to 1). the nature of its motion 2). the nature of its surface in contact with the cam 3). the speed of the cam Which of the statements given above are correct?(a) 1,2 , and 3(b) Only 1 and 2(c) Only 2 and 3(d) Only 1
Consider the following statements:Radius of friction circle for a journal bearing depends upon 1). coefficient of friction 2). radius of the journal 3). angular speed of rotation of the shaft Which of the statements given above are correct?(a) 1,2 and 3(b) Only 1 and 2(c) Only 2 and 3(d) Only 1 and
What is the maximum acceleration of a cam follower undergoing simple harmonic motion?(a) \(\frac{h}{2}\left(\frac{\pi \omega}{\phi}\right)^{2}\)(b) \(4 h\left(\frac{\omega^{2}}{\phi^{2}}\right)\)(c) \(4 h\left(\frac{\omega^{2}}{\phi}\right)\)(d) \(\frac{2 h \pi \omega^{2}}{\phi^{2}}\)where, \(h=\)
Consider the following statements:1). Lower pairs are more resistant than the higher pairs in a plane mechanism.2). In a 4-bar mechanism (with 4 turning pairs), when the link opposite to the shortest link is fixed a double rocker mechanism results.Which of the statements given above is/are
What is automatic control?
A block diagram is represented by(a) circles(b) triangles(c) rectangles(d) parallelograms
What is a transducer? Explain the principle of operation of a transducer.
Differentiate between an automatic controller and process controller.
The output response of a first order system with excitation is:(a) \(y=x\left(1-e^{-t / \tau}\right)\)(b) \(y=x e^{-t / \tau}\)(c) \(y=x\left(1+e^{-t / \tau}\right)\)(d) \(y=x\left(1-e^{t \tau}\right)\)
What is an actuator? List various types of actuators.
What is a regulator?
A simple Bourdon tube pressure gauge is a(a) closed-loop control system(b) open-loop control system(c) manually operated system(d) feed back control system.
What are the basic modeling elements for a mechanical system? Explain the function of each element.
Define open-loop control and closed-loop control.
The overall transfer function of two blocks \(G_{1}(s)\) and \(G_{1}(s)\) connected in series is(a) \(G_{1}(s)+G_{2}(s)\)(b) \(G_{1}(s) \times G_{2}(s)\)(c) \(G_{1}(s)-G_{2}(s)\)(d) \(G_{1}(s) / G_{2}(s)\)
Define the following:(a) Instantaneous response(b) Lagging response(c) Delayed response.
What is resistance?
The equivalent transfer function for a closed-loop control system is(a) \(\frac{K G(s)}{1+K G(s)}\)(b) \(\frac{K G(s)}{1-K G(s)}\)(c) \(\frac{1+K G(s)}{K G(S)}\)(d) \(\frac{1-K G(s)}{K G(s)}\)
What do you mean by rise-time, peak-time and settling time in connection with transient response specification?

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