Questions and Answers of Engineering Mechanics Statics 15th

Determine the normal force, shear force, and moment at points C and D in the beam. 300 lb/ft -12 ft C 15 ft- B D 3 ft 6 ft 6000 lb-ft
Determine the normal force, shear force, and moment at points F and G in the compound beam. Point F is located just to the right of the 500-lb force, while point G is located just to the right of the
Determine the normal force, shear force, and moment acting at point C. A 800 lb 1.5 ft 1.5 ft at C 30° 3 ft 700 lb 2 ft D 1 ft 30° + 600 lb 3 ft B
Determine the normal force, shear force, and moment at points C and D. A 2 ft 6 ft C 45% 3 ft D 2 kip/ft 3 ft B
Determine the normal force, shear force, and moment acting at point D. A 800 lb 1.5 ft 1.5 ft "it C 30° 3 ft 700 lb 2 ft D 1 ft 30° + 600 lb 3 ft B
Determine the normal force, shear force, and moment in the beam at points C and D. Point D is just to the right of the 5-kip load. A 0.5 kip/ft 6 ft- C 6 ft- -6 ft 5 kip D -6 ft- B
Determine the normal force, shear force, and moment at points D and E of the frame. 0.75 m 400 N/m 0.75 m 60° E 0.25 m C D 0.75 m B 1m
Determine the normal force, shear force, and moment at points D of the two-member frame. 2 kN/m A -1.5 m D -1.5 m 1.5 m E 1.5 m O F B 1.5 kN/m
Determine the normal force, shear force, and moment at point E. 2 kN/m A -1.5 m D -1.5 m 1.5m E 1.5m B 1.5 kN/m
The man has a weight of 250 lb and a center of gravity at G. If the bench upon which he is sitting is fixed connected to the center support, determine the x, y, z components of loading at sections
Determine the normal force, shear force, and moment acting at points B and C on the curved member. A 45° 2 ft B 30⁰° 3 4 500 lb
Determine the normal force, shear force, and moment at point D of the two-member frame. 1.5 m -2 m- |D E - 4 m 250 N/m B 300 N/m
Determine the normal force, shear force, and moment at point E of the two-member frame. 1.5 m -2 m D E 4 m 250 N/m B 300 N/m
Determine the normal force, shear force, and moment at point D of the two-member frame. Neglect the thickness of the member. 2 m 2m D 3m B 450 N 1.5m C
Determine the x, y, z components of force and moment at point C in the pipe assembly. Neglect the weight of the pipe. The load acting at (0, 3.5 ft, 3 ft) is F1 = 5-24i - 10k6 lb and M = {-30k} lb ·
Determine the x, y, z components of internal loading at a section passing through point B in the pipe assembly. Neglect the weight of the pipe. Take F1 = {200i - 100j - 400k} N and F2 = {300i - 500k}
Determine the x, y, z components of internal loading at a section passing through point B in the pipe assembly. Neglect the weight of the pipe. Take F1 = {100i - 200j - 300k} N and F2 = {100i + 500j}
The power line is supported at A by the tower. If the cable weighs 0.75 lb>ft, and the sag s = 3 ft, determine the resultant horizontal The power line is supported at A by the tower. If the cable
The power line is supported at A by the tower. If the cable weighs 0.75 lb/ft, determine the required sag s so that the resultant horizontal force the cable exerts at A is zero. B S A 7 ft C
Locate the centroid x̄ of the area. 4ft y=4x 4ft - X
Locate the centroid ȳ of the area. 4 ft y y = 1/²x²2² 4 ft- X
Determine the distance ȳ to the centroid of the cone. Z z = 4y -h- a y
Determine the distance ȳ to the center of mass of the cone. The density of the material varies linearly from zero at the origin to ρ0 at x = h. Z 2=ay Z -h- a - у
The buoy is made from two homogeneous cones each having a radius of 1.5 ft. If it is required that the buoy’s center of gravity G be located at z̄ = 0.5 determine the height h of the top cone. h 4
Determine the approximate amount of aluminum necessary to make the funnel. It consists of a full circular part having a thickness of 2 mm. 30 mm 60 mm 50 mm 80 mm 130 mm
Determine the approximate outer surface area of the funnel. It consists of a full circular part of negligible thickness. 30 mm 60 mm 50 mm 80 mm 30 mm
The elevated water storage tank has a conical top and hemispherical bottom and is fabricated using thin steel plate. Determine how many square feet of plate is needed to fabricate the tank.
The tank is used to store a liquid having a specific weight of γ = 80 lb/ft3. If it is filled to the top, determine the magnitude of force the liquid exerts on side ABCD. 1.5 ft 2 ft E 1.5 ft B A 5
Determine the moment of inertia of the triangular area about the x axis. h y -b - y = ½ (b − x) ·x
Determine the moment of inertia for the area about the y axis. 4 in. < y² = x 16 in. X
The shaft is supported by a smooth thrust bearing at A and w a smooth journal bearing at B. Draw the shear and moment diagram for the shaft:(a) in terms of the parameters shown:(b) set w = 500 lb/ft,
Draw the shear and moment diagrams for the compound beam. The beam is pin connected at E and F. A -L B LILIL W ㅏ -7 D
The two segments of the girder are pin connected at B. Draw the shear and moment diagrams for the girder. 15 kip 3 ft-4 ft- 2 ft B C 8 kip. ft 500 lb/ft 12 ft D
The jib crane supports a load of 750 lb. If the boom AB has a uniform weight of 60 lb/ft, draw the shear and moment diagrams for the boom. A 7 ft 3 ft B
The truck has a mass of 1.25 Mg and a center of mass at G. Determine the greatest load it can move if (a) the truck has rear-wheel drive while the front wheels are free to roll, and (b) the truck has
Solve Prob. 8–26 if the truck and crate are resting on an upward 10° incline.Prob. 8–26The truck has a mass of 1.25 Mg and a center of mass at G. Determine the greatest load it can move if (a)
The tongs are used to suspend the 80-kg plate. Determine the smallest coefficient of static friction to prevent slipping of the plate. 150 mm C 20 mm, A P -150 mm 200 mm B 150 mm 150 mm
The uniform pole has a weight W and is lowered slowly from a vertical position θ = 90° toward the horizontal using cable AB. If the coefficient of static friction is μs = 0.3 at C, determine
The automobile jack is subjected to a vertical load of F = 8 kN. If a square-threaded screw, having a lead of 5 mm and a mean diameter of 10 mm, is used in the jack, determine the force that must be
Determine the minimum tension in the rope at points A and B that is necessary to maintain equilibrium. Take μs = 0.3 between the rope and the fixed post D. 300 lb T D B 60° A
The choker sling is used to lift the smooth pipe that has a mass of 600 kg. If the coefficient of static friction between the loop at the end A of the sling and the rope is μs = 0.3, determine the
A girl weighing 100 lb attempts to pull herself up a tree using a rope which is draped over the limb at B. If μs = 0.4, determine the smallest force at which she must pull on the rope to lift
A large stone having a mass of 500 kg is moved along the incline using a series of 150-mm-diameter rollers for which the coefficient of rolling resistance is 3 mm at the ground and 4 mm at the bottom
Determine the distance x̄ to the center of gravity of the rod bent in the form of a parabola. If the rod has a weight per unit length of 0.5 lb/ft, determine the components of reaction at the fixed
Determine the moment of inertia of the area about the x axis. Ix - fy²dA y²(9 - y)¹/2 dy - Jo = 333 in¹
Determine the moment of inertia Ix of the area about the x axis. y 150 mm 150 mm O -100 mm-100 mm-150 mm - 75 mm X
Determine the maximum force P that can be applied without causing the two 50-kg crates to move. The coefficient of static friction between each crate and the ground is μs = 0.25. A B 30°
Determine the friction developed between the 50-kg crate and the ground if (a) P = 200 N, and (b) P = 400 N. The coefficients of static and kinetic friction between the crate and the ground are μs =
Determine the minimum force P to prevent the 30-kg rod AB from sliding. The contact surface at B is smooth, whereas the coefficient of static friction between the rod and the wall at A is μs = 0.2.
Determine the minimum coefficient of static friction between the uniform 50-kg spool and the wall so that the spool does not slip. 0.6 m- 0.3 m Prob. F8-6 B 60° A
If the coefficient of static friction at contact points A and B is μs = 0.3, determine the maximum force P that can be applied without causing the 100-kg spool to move. A 0.6 m B P 0.9 m Prob. F8-4
The 100-lb cylinder rests between the two inclined planes. When P = 15 lb, the cylinder is on the verge of impending motion. Determine the coefficient of static friction between the surfaces of
If the coefficient of static friction at all contacting at which the surfaces is μ, determine the inclinationidentical blocks, each of weight W, begin to slide. A B 0 Prob. F8-8
Determine the maximum force P that can be applied without causing movement of the 250-lb crate that has a center of gravity at G. The coefficient of static friction at the floor is μs = 0.4.
The man has a mass of 40 kg. He plans to scale the vertical crevice using the method shown. If the coefficient of static friction between his shoes and the rock is μs = 0.4 and between his
Blocks A and B have a mass of 7 kg and 10 kg, respectively. Using the coefficients of static friction indicated. determine the largest force P which can be applied to the cord without causing motion.
The cylinder is confined by the brake, where μs = 0.4. Determine the required compression in the spring in order to resist a torque of 800 N · m on the cylinder. The spring has a stiffness of
Determine the angle Ø at which the applied force P should act on the pipe so that P is as small as possible for pulling the pipe up the incline. What is the corresponding value of P? The pipe weighs
The uniform crate resting on the dolly has a mass of 500 kg and mass center at G. If the front casters contact a high step, and the coefficient of static friction between the crate and the dolly is
The car has a mass of 1.6 Mg and center of mass at G. If the coefficient of static friction between the shoulder of the road and the tires is μs = 0.4, determine the greatest slope the shoulder can
The uniform thin pole has a weight of 30 lb and a length of 26 ft. If it is placed against the smooth wall and on the rough floor in the position d = 10, will it remain in this position when it is
The friction pawl is pinned at A and rests against the wheel at B. It allows freedom of movement when the wheel is rotating counterclockwise about C. Clockwise rotation is prevented due to friction
Two blocks A and B have a weight of 10 lb and 6 lb, respectively. They are resting on the incline for which the coefficients of static friction are μA = 0.15 and μB = 0.25 Determine the incline
The double-block brake mechanism is used to prevent the wheel from turning when the wheel is subjected to the torque of M = 5 N · m. If the coefficient of static friction between the blocks and the
Determine the smallest force P that must be applied to begin moving the 150-lb uniform crate. The coefficent of static friction between the crate and the floor is μs = 0.5. 3 ft -2 ft- P
The man having a weight of 200 lb pushes horizontally on the crate. If the coefficient of static friction between the 450-lb crate and the floor is μs = 0.3 and between his shoes and the floor
The car has a weight of 4000 lb and a center of gravity at G. If it pulls off the side of the road, determine the greatest angle of tilt θ it can have without slipping or tripping over. The
The 800-lb concrete pipe is being lowered from the truck bed when it is in the position shown. If the coefficient of static friction at the points of support A and B is μs = 0.4, determine where it
If the coefficient of static friction at A and B is μs = 0.6, determine the maximum angle so that the frame remains in equilibrium, regardless of the mass of the cylinder. Neglect the mass of the
The man has a mass of 60 kg and the crate has a mass of 100 kg. If the coefficient of static friction between his shoes and the ground is μs = 0.4 and between the crate and the ground is
The 50-lb board is placed across the channel and a 100-lb girl attempts to walk across. If the coefficient of static friction at A and B is μs= 0.4, determine if she can make the crossing; and if
The blocks each have a weight of 50 lb. If the coefficient of static friction at A is μs = 0.2 and between each blockμ's = 0.4, determine how many blocks can be stacked as shown before they begin
The uniform cylindrical tank has a mass of 250 kg. If the coefficient of static friction is μs = 0.15, determine the force P applied to the rope needed to move the tank. 3m - 2m 45° MATERIALES P
If the coefficient of static friction between the axe and the wood is μs = 0.2, determine the smallest angle θ of the blade which will cause the axe to be self-locking. Neglect the weight of the
Two blocks A and B, each having a mass of 6 kg, are connected by the linkage shown. If the coefficients of static friction at the contacting surfaces are μB = 0.8 and μA = 0.2, determine the
Two blocks A and B, each having a mass of 6 kg, are connected by the linkage shown. If the coefficient of static friction at the contacting surfaces is μs = 0.5, determine the largest vertical force
If it takes a vertical force of 60,000 lb to separate the two parts at A and C, determine the force P the hydraulic cylinder must exert on the wedge in order to push it forward. The coefficient of
If a horizontal force of F = 50 N is applied perpendicular to the handle of the lever at E, determine the clamping force developed at G. The mean diameter and lead of the single square-threaded screw
Each block has a weight of 400 lb. Determine how far the force P can compress the spring until block B slips on block A. What is P for this to occur? k = 800 lb/ft wwww M's = 0.5 A B Ms = 0.2 P 30°
The hand clamp is constructed using a square-threaded screw having a mean diameter of 36 mm, a lead of 4 mm, and a coefficient of static friction at the screw ofThe hand clamp is constructed using a
The hand clamp is constructed using a square-threaded screw having a mean diameter of 36 mm, a lead of 4 mm, and a coefficient of static friction at the screw of μs = 0.3. To tighten the screw, a
If couple forces of F = 10 lb are applied perpendicular to the lever of the clamp at A and B, determine the clamping force on the boards. The single square-threaded screw of the clamp has a mean
Prove that the lead l must be less than 2 πrμs for the jack screw shown in Fig. 8–15 to be self-locking. W M h
The square-threaded bolt is used to join two plates together. If the bolt has a mean diameter of d = 20 mm and a lead of l = 3 mm. determine the smallest torque M required to loosen the bolt if the
If the force T1 is applied to the rope at A, determine the force at T2 at B needed to pull the rope over the two fixed drums having the angles of contact and the coefficients of static friction
Determine the force P that must be applied to the handle of the lever so that the wheel is on the verge of turning if M = 300 N · m. The coefficient of static friction between the belt and the wheel
The 50-lb cylinder is attached to a cord which passes over the fixed drum. If the coefficient of static friction at the drum is μs = 0.3, determine the maximum force P that can be applied to the
Determine the minimum tension in the rope at points A and B which is necessary to maintain equilibrium. The coefficient of static friction between the rope and the fixed post D is μs = 0.3. The rope
Two 8–kg blocks are attached to a cord that passes over two fixed drums. If μ3 = 0.3 at the drums, determine the equilibrium angle θ the cord makes with the horizontal when a vertical force p =
Two boys have a tug-of-war using a rope. In the process the rope rubs against a post such that it is deflected 3° on each side of the post. If boy A weighs 60 lb and boy B weighs 50 lb, determine if
A 10-kg cylinder D, which is attached to a small pulley B, is placed on the cord as shown. Determine the largest angle so that the cord does not slip over the peg at C. The cylinder at E also has a
The load can be supported by two boys when the cord is suspended over the pipe (a half-turn). If each boy can pull with a force of 125 lb, determine the maximum weight of the load. Can one boy
Two boys have a tug-of-war using a rope. In the process the rope rubs against a post such that it is deflected 3º on each side of the post. If boy A weighs 60 lb and boy B weighs 50 lb, determine if
Determine the centroid (x̄, ȳ) of the area. 1 m - 1m Prob. F9-2 ·X
A tube has a total weight of 200 lb, length l = 8 ft, and radius = 0.75 ft. If it rests in sand for which the coeffcient of static friction is μs = 0.23, determine the torque M needed to turn it.
The corkscrew is used to remove the 15-mm-diameter cork from the bottle. Determine the smallest vertical force P that must be applied to the handle if the gauge pressure in the bottle is p = 175 kPa
The collar fits loosely around a fixed shaft that has a radius of 2 in. If the coefficient of kinetic friction between the shaft and the collar is μk = 0.3, determine the force P on the horizontal
Locate the centroid x̄ of the area. 4 m y 4 m ·X
Locate the centroid ȳ of the beam's cross-sectional area. 50 mm 150 mm 150 mm 300 mm 25 mm 25 mm Prob. F9-8
Determine the centroid ȳ of the area. 2m -1 m 1 m- Prob. F9-3 -y = 2x² X

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