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engineering
machine elements in mechanical design

Questions and Answers of Machine Elements In Mechanical Design

The net effect of creep in belts is to(a) increase the speed of driven pulley(b) decrease the speed of driven pulley(c) increase the power output(d) decrease the power output.
A flat belt drive is required to transmit \(20 \mathrm{~kW}\) at \(300 \mathrm{rpm}\) of \(2 \mathrm{~m}\) diameter pulley. The angle of contact is \(170^{\circ}\) and coefficient of friction between
A shaft running at \(500 \mathrm{rpm}\) carries a pulley \(1 \mathrm{~m}\) diameter and drives another pulley by means of ropes with a speed ratio of 2:1. The drive transmits \(200 \mathrm{~kW}\).
If the difference between tight and slack side tensions for a leather belt does not exceed \(100 \mathrm{~N} / \mathrm{cm}\) of width for a belt \(5 \mathrm{~mm}\) thick, find the maximum stress in
The initial tension in a flat belt drive is \(1800 \mathrm{~N}\) and angle of lap on the smaller pulley is \(170^{\circ}\). The coefficient of friction between belt and pulley surface is 0.25 . The
It is required to reduce speed from 360 to \(120 \mathrm{rpm}\) by the use of chain drive. The driving sprocket has 10 teeth. Calculate: (a) the number of teeth on the follower, (b) the pitch of
A rope pulley having a mean diameter of \(1.5 \mathrm{~m}\) rotates at \(90 \mathrm{rpm}\); angle of lap of ropes \(=170^{\circ}\); angle of groove \(=45^{\circ}\), safe tension per rope \(=750
A belt of density \(1000 \mathrm{~kg} / \mathrm{m}^{3}\) has a maximum permissible stress of \(2.5 \mathrm{MPa}\). Calculate the maximum power that can be transmitted by a belt of \(200 \mathrm{~mm}
Determine the maximum power that can be transmitted by a belt of \(100 \mathrm{~mm} \times 10 \mathrm{~mm}\) size with an angle of lap of \(160^{\circ}\). The belt density is \(1000 \mathrm{~kg} /
The included angle of a V-grooved pulley is \(30^{\circ}\). The belt is \(20 \mathrm{~mm}\) deep and maximum width is \(20 \mathrm{~mm}\). The mass of belt is \(0.35 \mathrm{~kg}\) per metre length
A pulley used to transmit power by means of ropes has a diameter of \(3.6 \mathrm{~m}\) and has 15 grooves of \(45^{\circ}\) angle. The angle of contact is \(170^{\circ}\) and coefficient of friction
What is the function of a steering gear?
Watt mechanism is capable of generating(a) approximate straight line(b) exact straight line(c) approximate circular path(d) exact circular path.
A shaft running at \(1200 \mathrm{rpm}\) is connected to a second shaft by a Hooke's joint. The angle between the axes of the shafts is \(15^{\circ}\). Determine the velocity and acceleration of the
Define a steering gear.
Scott-Russel mechanism for generating straight line has(a) four lower kinematic turning pairs(b) two lower kinematic turning pairs and one lower kinematic sliding pairs(c) one lower kinematic turning
The driving shaft of a Hooke's joint is rotating at a uniform speed of \(600 \mathrm{rpm}\). The speed of the driven shaft must be 575 and \(625 \mathrm{rpm}\). Determine the maximum permissible
List the approximate straight line mechanisms.
In automobiles, the power is transmitted from gear box to differential through(a) bevel gears(b) knuckle joint(c) Hooke’s joint(d) Cotter joint.
The axes of two shafts connected by a Hooke's joint are inclined at \(20^{\circ}\). At what positions of the driving shaft, the velocities of two shafts are equal? State whether the accelerations are
Name the exact straight line mechanisms.
Automobile steering gear is an example of(a) higher pair(b) sliding pair(c) turning pair(d) lower pair.
Two shafts connected by a Hooke's joint have their axes inclined at \(20^{\circ}\). The driving shaft rotates at \(1440 \mathrm{rpm}\) and the driven shaft carries a flywheel of mass \(20
What is a pantograph? What are its uses?
The number of links in a pantograph mechanism is equal to(a) 2(b) 3(c) 4(d) 5
In the mechanism shown in Fig.3.35(a), the link 2 rotates with angular velocity of \(30 \mathrm{rad} / \mathrm{s}\) and an angular acceleration of \(240 \mathrm{rad} / \mathrm{s}^{2}\). Determine(a)
The kinematic diagram of one of the cylinders of a rotary engine is shown in Fig.3.34(a). The crank \(O A\) which is vertical and fixed, is \(50 \mathrm{~mm}\) long. The length of connecting
In the mechanism shown in Fig.3.33, the crank \(O A\) rotates at \(20 \mathrm{rpm}\) anti-clockwise and gives motion to the sliding blocks \(B\) and \(D\). The dimensions of the various links are:
The crank of an engine \(250 \mathrm{~mm}\) long rotates at a uniform speed of \(240 \mathrm{rpm}\). The ratio of connecting rod length to crank radius is 4 . Determine(a) the acceleration of the
In the swivelling point mechanism shown in Fig.3.31(a), \(O A=25 \mathrm{~mm}, A B=150 \mathrm{~mm}, A D=D E\), \(D E=150 \mathrm{~mm}, E F=100 \mathrm{~mm}, B C=60 \mathrm{~mm}, D S=40
Fig.3.30 depicts the structure of Whitworth quick return mechanism used in reciprocating machine tools. The various dimensions of the mechanism for a specified stroke of the tool are:\[ O Q=120
In the mechanism shown in Fig.3.29, link \(A B\) rotates clockwise at a speed of \(240 \mathrm{rpm}\). At the instant shown, find the velocity and acceleration of slider \(C\) as well as those of
Bar \(A B\) is connected by pin \(C\) to slider \(D\) that slides along the fixed vertical rod \(E F\) as shown in Fig.3.28. Find the velocity and acceleration of the slider \(D\) if the bar \(A B\)
For the Scotch yoke mechanism shown in Fig.3.27, find the velocity and acceleration of point \(B\). \(\omega_{2}=5 \mathrm{rad} / \mathrm{s}\), and \(O_{2} A=100 \mathrm{~mm}\). 2 45 3 .B. Scale: 1
In Example 3.14 , calculate analytically, the acceleration of the piston and angular acceleration of the rod.
The crank of an engine \(300 \mathrm{~mm}\) long rotates at a uniform speed of \(300 \mathrm{rpm}\). The ratio of connecting rod length to crank radius is 4 . Determine(a) acceleration of the
A part of a mechanism which operates a horizontally sliding block \(E\) is shown in Fig.3.23(a). In the given configuration, the lever \(O B\) swings about \(O\) in the clockwise direction with an
A double slider-crank mechanism is shown in Fig.3.22(a). Crank 2 rotates at constant angular speed \(\omega_{2}=10 \mathrm{rad} / \mathrm{s}\). Determine the velocity and acceleration of each slider.
In the mechanism shown in Fig.3.21(a), the link \(O_{1} A\) rotates at \(24 \mathrm{rad} / \mathrm{s}\). Find the velocity and acceleration of point \(B\). \(O_{1} A=75 \mathrm{~mm}, A B=200
Draw the acceleration diagram for the shaper mechanism shown in Fig.3.20(a). \(O B=150 \mathrm{~mm}\), \(C B=225 \mathrm{~mm}, O C=150 \mathrm{~mm}\). Find the coriolis acceleration of slider \(B\).
For the slider-crank mechanism shown in Fig.3.19(a), determind(a) acceleration of slider \(B\), (b), acceleration of point \(C\), and(c) acceleration of link \(A B\). The crank \(O A\) rotates at
For the mechanism shown in Fig.3.18(a), find the angular accelerations of the links \(A B, B O_{2}\) and the linear accelerations of points \(C, D\), and E. \(\omega=10 \mathrm{rad} / \mathrm{s},
In the swivelling joint mechanism shown in Fig. 3.17 (a), \(A B=300 \mathrm{~mm}, B C=800 \mathrm{~mm}, C D=400 \mathrm{~mm}\), \(A D=500 \mathrm{~mm}, B E=400 \mathrm{~mm}, E F=500 \mathrm{~mm}, E
Draw the acceleration diagram for the Whitworth mechanism shown in Fig.3.15(a).\[ \begin{aligned} O_{1} O_{2} & =300 \mathrm{~mm}, O_{1} A=200 \mathrm{~mm} \\ A B & =700 \mathrm{~mm}, B C=800
In the crank and slotted lever type quick return motion mechanism shown in Fig.3.14(a), the crank \(A B\) rotates at \(120 \mathrm{rpm}\). Determine(a) velocity of ram at \(D\),(b) magnitude of
In the mechanism shown in Fig.3.11(a), determine the acceleration of the slider \(C . O_{1} A=100 \mathrm{~mm}, A B=\) \(120 \mathrm{~mm}, O_{2} B=150 \mathrm{~mm}\), and \(B C=350 \mathrm{~mm}\).
In the slider-crank shown in Fig.3.10(a), the lengths of the various links are:\[ O A=A C=200 \mathrm{~mm}, A B=600 \mathrm{~mm}, \angle A O B=30^{\circ} \text {. } \]The crank rotates at \(10
A four-bar mechanism with ternary link is shown in Fig.3.9(a). The lengths of various links is given as below:\[ \begin{aligned} O_{1} O_{2} & =600 \mathrm{~mm}, O_{1} A=300 \mathrm{~mm}, A B=400
In the four-bar mechanism shown in Fig.3.8, the lengths of the various links are: \(A B=190 \mathrm{~mm}\), \(B C=C D=280 \mathrm{~mm}, A D=500 \mathrm{~mm}, \angle B A D=55^{\circ}\). The crank \(A
The dimensions of a four-bar chain shown in Fig. 2.76 are: \(A D=B E=120 \mathrm{~mm}, A B=30 \mathrm{~mm}\) and \(C D=60 \mathrm{~mm}\). The crank \(A B\) rotates at \(100 \mathrm{rpm}\). Determine
In the mechanism shown in Fig.2.77, \(O_{1} O_{2}=210 \mathrm{~mm}, O_{1} B=300 \mathrm{~mm}\) and \(O_{2} A=60 \mathrm{~mm}\). The crank \(O_{2} A\) rotates at \(300 \mathrm{rpm}\) in the ccw
The dimensions of the various links of the mechanism shown in Fig.2.78 are: \(A D=D E=150\) \(\mathrm{mm}, B C=C D=450 \mathrm{~mm}, E F=375 \mathrm{~mm}\).The crank \(A B\) rotates at \(120
In the toggle mechanism shown in Fig.2.79, the crank \(O A\) rotates at \(180 \mathrm{rpm}\) and the slider is constrained to move on a horizontal path. \(O A=180 \mathrm{~mm}, B C=240 \mathrm{~mm},
The crank \(O A\) of the mechanism shown in Fig. 2.80 rotates at \(100 \mathrm{rpm}\) clockwise. Using instantaneous centre method determine the linear velocities of points \(B, C\) and
Find the velocity of point \(C\) in the mechanism shown in Fig. 2.81 by using relative velocity method. Crank \(O_{2} A\) rotates at \(20 \mathrm{rad} / \mathrm{s}\) clockwise. 60 20 rad/s B 02
In the mechanism shown in Fig.2.14(a), the crank \(O_{1} A\) rotates at a uniform speed of \(650 \mathrm{rpm}\). Determine the linear velocity of the slider \(C\) and the angular speed of the link
The slider \(C\) of the toggle mechanism shown in Fig.2.15(a) is constrained to move on a horizontal path. The crank \(O_{1} A\) rotates in the counterclockwise direction at a uniform speed of \(180
Determine the mechanical advantage of the toggle mechanism shown in Fig.2.16(a). (4) 50 A (2) 50 (1). 2025 rad/s 40 03 (3) 40 60 cm VDC Scale: 1 cm = 10 cm (a) Configuration diagram Fig.2.16 Toggle
Determine the angular velocity of the follower 3 and the velocity of sliding at the point of contact in Fig.2.17(a). The speed of driver link 2 is \(3 \mathrm{rad} / \mathrm{s}\). 3 30 Az As 30 50 M
The crank \(A B\) of a four-bar mechanism shown in Fig.2.18(a) rotates at \(60 \mathrm{rpm}\) clockwise. Determine the relative angular velocities of the coupler to the crank and the lever to the
Wheel 2 in Fig.2.19(a) rotates at \(1500 \mathrm{rpm}\) and is driving the wheel 7 pivoted at \(O_{2}\). Determine the linear velocity of slider and angular velocities of links 3,4 and 6. (6) B 30
The dimensions of the mechanism for hydraulic riveter, as shown in Fig.2.20(a), are: \(O A=200 \mathrm{~mm}\), \(A B=210 \mathrm{~mm}, A D=550 \mathrm{~mm}\) and \(B C=330 \mathrm{~mm}\).Determine
Crank \(O A\) in Fig.2.21(a) is \(80 \mathrm{~mm}\) long and rotates clockwise about \(O\) at \(120 \mathrm{rpm}\). The connecting rod \(A B\) is \(450 \mathrm{~mm}\) long. Point \(C\) on \(A B\) is
An engine crankshaft drives a reciprocating pump through a mechanism, as shown in Fig.2.22(a). The crank \(O A\) rotates in the counter-clockwise direction at \(150 \mathrm{rpm}\). The diameter of
The various dimensions of the mechanism, as shown in Fig.2.23(a), are \(O A=120 \mathrm{~mm}, A B=500 \mathrm{~mm}\), \(B C=120 \mathrm{~mm}, C D=300 \mathrm{~mm}\), and \(D E=150 \mathrm{~mm}\). The
In the mechanism shown in Fig.2.24(a), the crank \(O_{1} A\) and \(O_{2} B\) are 100 and \(50 \mathrm{~mm}\), respectively. The diameters of wheels with centres \(O_{1}\) and \(O_{2}\) are 260 and
In the mechanism shown in Fig.2.25(a), \(v_{a}=120 \mathrm{~m} / \mathrm{s}\). Determine the angular velocities \(\omega_{4}, \omega_{5}\) of the two gears and the velocity \(v_{d}\) on gear \(5 .
The dimensions of various links for the mechanism shown in Fig.2.26(a) are: \(O A=0.5 \mathrm{~m}, A B=1.5 \mathrm{~m}\), \(A C=C D=0.9 \mathrm{~m}\). The crank \(O A\) has uniform angular speed of
The dimensions of the various links of the mechanism shown in Fig.2.27(a) are: \(O A=50 \mathrm{~mm}\), \(A B=400 \mathrm{~mm}, B C=150 \mathrm{~mm}, C D=100 \mathrm{~mm}\), and \(D E=250
The dimensions of the various links of the mechanism shown in Fig.2.28(a) are \(\mathrm{OA}=30 \mathrm{~mm}\), \(A B=75 \mathrm{~mm}, B D=100 \mathrm{~mm}\). The crank \(O A\) rotates at \(120
The crank \(O A\) of the mechanism shown in Fig.2.29(a) rotates at \(120 \mathrm{rpm}\). The dimensions of the various link are:\(O A=100 \mathrm{~mm}, A B=C E=400 \mathrm{~mm}, A C=125
The crank and slotted lever mechanism shown in Fig.2.30(a) has the dimensions of its various links as follows:\(O A=200 \mathrm{~mm}, A B=100 \mathrm{~mm}, O C=400 \mathrm{~mm}\), and \(C D=300
For the mechanism shown in Fig.2.31(a), determine the velocities of points \(C, E\) and \(F\). Also calculate the angular velocities of the links \(B C, C D E\), and \(E F\). Crank \(A B\) rotates at
For the mechanism shown in Fig.2.32(a), determine the angular velocities of links 3 and 4 when link 2 is rotating at \(120 \mathrm{rpm}\). Also find the velocity of point \(C\) and \(D . O_{2} A=100
For the mechanism shown in Fig.2.33(a), determine the velocities of points \(C\) and \(A\) and angular speedy of links 3 and 4 . The link 2 rotates at \(150 \mathrm{rpm}\).\(O_{2} A=380 \mathrm{~mm},
For the mechanism shown in Fig.2.34(a), determine the velocity of the slider \(C\). The link 2 rotates at \(180 \mathrm{rpm}\).\(O_{2} A=50 \mathrm{~mm}, A B=100 \mathrm{~mm}, A C=200 \mathrm{~mm}, B
In the crank-shaper mechanism shown in Fig.2.35(a), the link 2 rotates at a constant angular speed of \(1 \mathrm{rad} / \mathrm{s}\). Determine the angular speed of link \(4, v_{A 4}, v_{A 223}\),
For the mechanism shown in Fig.2.36(a), the link 2 rotates at \(160 \mathrm{rad} / \mathrm{s}\). Determine \(v_{b}, \omega_{4}\) and \(v_{b a^{\prime}} O_{2} A=\) \(150 \mathrm{~mm}, A B=200
The driving link 2 of the Whitworth quick-return motion mechanism shown in Fig.2.37(a) rotates at a constant speed of \(6 \mathrm{~m} / \mathrm{s}\). Determine the velocity of tool holder. \(O_{1}
For the mechanism shown in Fig.2.38(a), determine velocity of slider and \(\omega_{3}, \omega_{4}\), and \(\omega_{5}\). WALL 65 120- 30 100 C OB = 30 mm B 002150 rad/s 2 02 65 60 62.5 125- a 50 50
For the mechanism shown in Fig.2.39(a), \(v_{E}=5 \mathrm{~m} / \mathrm{s}\). Determine \(v_{d}\), \(\omega_{3}\), and \(\omega_{5}\). D 65 5 100 45 VE-5 m/s B 20 2 100 40 45 Scale: 1 cm = 20 mm (a)
The crank \(O_{1} A\) of the four-bar linkage shown in Fig.2.40(a) is rotating at a uniform angular velocity of \(30 \mathrm{rad} / \mathrm{s}\). Draw the velocity polygon and determine the velocity
In the mechanism shown in Fig.2.41(a), the piston \(D\) moves in the vertical direction upwards with a velocity of \(5 \mathrm{~m} / \mathrm{s}\).\(O_{1} A=7.5 \mathrm{~cm}, O_{1} O_{2}=30
The quick-return motion mechanism of the crank and slotted lever type shaping machine is shown in Fig. \(2.42(a)\).\(O_{102}=800 \mathrm{~mm}, O_{1} B=300 \mathrm{~mm}, O_{2} D=1300 \mathrm{~mm}, D
The dimesions of the mechanism shown in Fig.2.43(a) are: \(O_{1} O_{2}=6 \mathrm{~cm}, O_{3} A=8 \mathrm{~cm}, O_{1} B=20 \mathrm{~cm}\), \(B C=18 \mathrm{~cm}, O_{2} C=20 \mathrm{~cm}, \angle O_{1}
Using relative velocity method find the absolute velocity of the slider \(E\) in the mechanism shown in Fig.2.44(a). The crank \(O_{1} A\) rotates at \(60 \mathrm{rpm}\). \(O_{1} A=50 \mathrm{~mm},
Figure 2.45(a) shows a swivelling joint mechanism in which \(A B\) is the driving crank which rotates at \(240 \mathrm{rpm}\) clockwise. 400 Q on EF link B E 300 45 D Scale: 1 cm = 100 mm (a)
The angular velocity of crank \(O A\) shown in Fig.2.46(a) is \(600 \mathrm{rpm}\). Determine the linear velocity of slider \(D\) and the angular velocity of link \(B D\) when the crank is inclined
The mechanism shown in Fig. 2.47 has the dimensions of various links as follows:\[ A B=D E=150 \mathrm{~mm}, B C=C D=450 \mathrm{~mm}, E F=375 \mathrm{~mm} \]The crank \(A B\) makes an angle of
The dimensions of a four-bar mechanism are:\(A D=300 \mathrm{~mm}, B C=A B=360 \mathrm{~mm}, C D=600 \mathrm{~mm}\). The link \(C D\) is fixed and \(\angle A D C=60^{\circ}\). The driving link \(A
A quick-return mechanism of a shaper is shown in Fig.2.49(a). The crank \(O_{1} A\) rotates in the counterclockwise direction. Determine the linear velocity of the cutting tool when the crank \(O_{1}
In the four-bar mechanism shown in Fig.2.55(a), link 2 is rotating at angular velocity of \(15 \mathrm{rad} / \mathrm{s} c \omega\). Locate all the instantaneous centres of the mechanism and find (a)
Locate the instantaneous centres of the slider crank mechanism shown in Fig.2.56(a). Find the velocity of the slider. \(O A=160 \mathrm{~mm}, A B=470 \mathrm{~mm}\), and \(O B=600 \mathrm{~mm},
Locate the instantaneous centres of the mechanisms shown in Fig.2.57(a). 14 at 24 12 14 at A 13 34 (a) Locating instantaneous centres (b) Circle diagram Fig.2.57 Four-bar mechanism
Locate the instantaneous centres of the mechanism shown in Fig.2.58. 23 P 12 13 2 12 (a) Locating instantaneous centres (b) Circle diagram Fig.2.58 Three-bar mechanism
In the toggle mechanism, shown in Fig.2.59, crank \(O_{1} A\) rotates at \(30 \mathrm{rpm}\) clockwise. \(O_{1} A=40 \mathrm{~mm}\), \(A B=140 \mathrm{~mm}, B C=100 \mathrm{~mm}, B D=80
Determine all the instantaneous centres of the double slider-crank mechanism shown in Fig.2.60(a). 16 at co 14 at 13 36 56 15 222 2 3 46 012 26 (a) Locating instantaneous centres Fig.2.60 Double
Locate all the instantaneous centres of the Whitworth mechanism shown in Fig.2.61(a). 36 34 at co 13 35 261 25 45 24 34 atico 23 114 (a) Locating instantaneous centres 15 16 at co (b) Circle diagram
Determine all the instantaneous centres of the mechanism shown in Fig.2.62(a). Calculate the velocities of the slider \(E\) and the joints \(B\) and \(D\) when the crank \(O A\) is rotating at \(120
A wrapping mechanism is shown in Fig.2.63(a). The crank \(O_{1} A\) rotates at a uniform speed of 1200 \(\mathrm{rpm}\). Determine the velocity of point \(E\) on the bell crank lever.\[

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