Explore topic-wise MCQs in BITSAT.

This section includes 31 Mcqs, each offering curated multiple-choice questions to sharpen your BITSAT knowledge and support exam preparation. Choose a topic below to get started.

1.

The uniform rod AB has a weight of 3 lb and is released from rest without rotating from the position shown. As it falls, the end A strikes a hook S, which provides a permanent connection. Determine the speed at which the other end B strikes the wall at C.

A. vB4 = 14.74 ft/s
B. vB4 = 20.3 ft/s
C. vB4 = 22.0 ft/s
D. vB4 = 12.69 ft/s
Answer» C. vB4 = 22.0 ft/s
2.

The uniform pole has a mass of 15 kg and falls from rest when = 90° until it strikes the edge at A, = 60°. If the pole then begins to pivot about this point after contact, determine the pole's angular velocity just after the impact. Assume that the pole does not slip at B as it falls until it strikes A.

A. 3 = 1.146 rad/s
B. 3 = 0.537 rad/s
C. 3 = 2.15 rad/s
D. 3 = 1.528 rad/s
Answer» E.
3.

The square plate, where a = 0.75 ft, has a weight of 4 lb and is rotating on the smooth surface with a constant angular velocity of 1 = 10 rad/s. Determine the new angular velocity of the plate just after its corner strikes the peg P and the plate to rotate about P without rebounding.

A. 2 = 6.67 rad/s
B. 2 = 2.50 rad/s
C. 2 = 10.00 rad/s
D. 2 = 5.00 rad/s
Answer» C. 2 = 10.00 rad/s
4.

A horizontal circular platform has a weight of 300 lb and a radius of gyration about the z axis passing through its center O of kz = 8 ft. The platform is free to rotate about the z axis and is initially at rest. A man, having a weight of 150 lb, begins to run along the edge in a circular path of radius 10 ft. If he has a speed of 4 ft/s and maintains this speed relative to the platform, compute the angular velocity of the platform.

A. 0
B. 0
C. 0
D. 0
Answer» C. 0
5.

The 50-kg cylinder has an angular velocity of 30 rad/s when it is brought into contact with the horizontal surface at C. If the coefficient of friction is c = 0.2, determine how long it takes for the cylinder to stop spinning. What force is developed at the pin A during this time? The axis of the cylinder is connected to two symmetrical links. (Only AB is shown.) For the computation, neglect the weight of the links.

A. t = 1.529 s, A = 0
B. t = 3.06 s, A = 0
C. t = 1.529 s, A = 49.1 N
D. t = 3.06 s, A = 49.1 N
Answer» D. t = 3.06 s, A = 49.1 N
6.

The flywheel A has a mass of 30 kg and a radius of gyration of kc = 95 mm. Disk B has a mass of 25 kg, is pinned at D, and is coupled to the flywheel using a belt which is subjected to a tension such that it does not slip at its contacting surfaces. If a motor supplies a counter-clockwise torque or twist to the flywheel, having a magnitude of M = (12t) N • m, where t is measured in seconds, determine the angular velocity of the disk 3 s after the motor is turned on. Initially, the flywheel is at rest.

A. 0
B. 0
C. 0
D. 0
Answer» D. 0
7.

The 12-kg disk has an angular velocity of = 20 rad/s. If the brake ABC is applied such that the magnitude of force P varies with time as shown, determine the time needed to stop the disk. The coefficient of friction at B is = 0.4.

A. t = 13.00 s
B. t = 7.00 s
C. t = 8.92 s
D. t = 5.08 s
Answer» E.
8.

Gear A has a weight of 1.5 lb, a radius of 0.2 ft, and a radius of gyration of ko = 0.13ft. The coefficient of friction between the gear rack B and the horizontal surface is = 0.3. If the rack has a weight of 0.8 lb and is initially sliding to the left with a velocity of (vB)2 = 8 ft/s to the left. Neglect friction between the rack and the gear and assume that the gear exerts only a horizontal force on the rack.

A. M = 0.01425 lb-ft
B. M = 0.00630 lb-ft
C. M = 0.0622 lb-ft
D. M = 0.0560 lb-ft
Answer» D. M = 0.0560 lb-ft
9.

A constant torque or twist of M = 0.4N • m is applied to the center gear A. If the system starts from rest, determine the angular velocity of each of the three (equal) smaller gears in 3 s. The smaller gears (B) are pinned at their centers, and the mass and centroidal radii of gyration of the gears are given in the figure.

A. B = 1975 rad/s
B. B = 5830 rad/s
C. B = 1520 rad/s
D. B = 1022 rad/s
Answer» D. B = 1022 rad/s
10.

A cord of negligible mass is wrapped around the outer surface of the 2-kg disk. If the disk is released from rest, determine its angular velocity in 3 s.

A. 0
B. 0
C. 0
D. 0
Answer» D. 0
11.

A cord of negligible mass is wrapped around the outer surface of the 50-lb cylinder and its end is subjected to a constant horizontal force of P = 2 lb. If the cylinder rolls without slipping at A, determine its angular velocity in 4 s starting from rest. Neglect the thickness of the cord.

A. 0
B. 0
C. 0
D. 0
Answer» E.
12.

The two blocks A and B each have a mass of 500 g. The blocks are fixed to the horizontal rods and their initial velocity is 2 m/s in the direction shown. If a couple moment of M = 0.8 N • m is applied about CD of the frame, determine the speed of the block in 4 s. The mass of the supporting frame is negligible and its free to rotate about CD.

A. v2 = 10.67 m/s
B. v2 = 23.3 m/s
C. v2 = 22.3 m/s
D. v2 = 12.67 m/s
Answer» E.
13.

A toboggan and rider, having a total mass of 150 kg, enter horizontally tangent to a 90° circular curve with a velocity VA and the angle of "descent," measured from the horizontal in a vertical x — z plane, at which the toboggan exits at B. Neglect friction in the calculation. The radius rB equals 57 m.

A. vB = 21.9 m/s, = 20.9°
B. vB = 23.4 m/s, = 29.0°
C. vB = 20.7 m/s, = 8.84°
D. vB = 20.3 m/s, = 7.37°
Answer» B. vB = 23.4 m/s, = 29.0°
14.

The projectile having a mass of m = 3 kg is fired from a cannon with a muzzle velocity of vO = 500 m/s. Determine the projectile's angular momentum about point O at the instant it is at the maximum height of its trajectory.

A. H0 = 15.11(106) kg- m2/s CCW
B. H0 = 6.76(106) kg- m2/s CCW
C. H0 = 15.11(106) kg- m2/s CW
D. H0 = 6.76(106) kg- m2/s CW
Answer» E.
15.

A basket and its contents weigh 10 lb. A 20-lb monkey grabs the other end of the rope and very quickly (almost instantaneously) accelerates by pulling hard on the rope until he is moving with a constant speed of vm/r = 2 ft/s measured relative to the rope. The monkey then continues climbing at this constant rate relative to the rope for 3 seconds. How fast is the basket rising at the end of the 3 seconds? Neglect the mass of the pulley and the rope.

A. vbasket = 33.5 ft/s
B. vbasket = 32.2 ft/s
C. vbasket = 96.6 ft/s
D. vbasket = 97.9 ft/s
Answer» B. vbasket = 32.2 ft/s
16.

Plates A and B each have a mass of 4 kg and are restricted to move along the frictionless guides. If the coefficient of restitution between the plates is e = 0.7, determine (a) the speed of both plates just after collision and (b) the maximum deflection of the spring. Plate A has a velocity of 4 m/s just before striking B. Plate B is originally at rest.

A. vA2 = 0.857 m/s, vB2 = 4.86 m/s, x = 0.434 m
B. vA2 = 0.600 m/s, vB2 = 3.40 m/s, x = 0.304 m
C. vA2 = 0, vB2 = 4.00 m/s, x = 0.358 m
D. vA2 = 0.327 m/s, vB2 = 3.67 m/s, x = 0.329 m
Answer» C. vA2 = 0, vB2 = 4.00 m/s, x = 0.358 m
17.

Two coins A and B have the initial velocities shown just before they collide at point O. If they have weights of WA = 13.2(10-3) lb and WB = 6.6(10-3) lb and the surface upon which they slide is smooth, determine their speed just after impact. The coefficient of restitution is e = 0.65.

A. vA2 = 1.856 ft/s, vB2 = 3.18 ft/s
B. vA2 = 1.871 ft/s, vB2 = 2.76 ft/s
C. vA2 = 1.772 ft/s, vB2 = 2.88 ft/s
D. vA2 = 1.755 ft/s, vB2 = 2.92 ft/s
Answer» D. vA2 = 1.755 ft/s, vB2 = 2.92 ft/s
18.

The drop hammer H has a weight of 900 lb and falls from rest. H has a weight of 900 lb and falls from rest h = 3 ft onto a forged anvil plate P that has a weight of 500 lb. The plate is mounted on a set of springs which have a combined stiffness of kT = 500 lb/ft. Determine (a) the velocity of P and H just after collision and (b) the maximum compression in the springs caused by the impact. The coefficient of restitution between the hammer and the plate is e = 0.6. Neglect friction along the vertical guide posts A and B.

A. vH2 = 3.97 ft/s, vP2 = 17.87 ft/s, x = 4.15 ft
B. vH2 = 8.94 ft/s, vP2 = 8.94 ft/s, x = 2.57 ft
C. vH2 = 5.96 ft/s, vP2 = 14.30 ft/s, x = 3.52 ft
D. vH2 = 20.8 ft/s, vP2 = 12.51 ft/s, x = 3.20 ft
Answer» D. vH2 = 20.8 ft/s, vP2 = 12.51 ft/s, x = 3.20 ft
19.

A man wearing ice skates throws an 8-kg block with an initial velocity of 2 m/s, measured relative to himself, in the direction shown. If he is originally at rest and completes the throw in 1.5 s while keeping his legs rigid, determine the horizontal velocity of the man just after releasing the block. What is the average vertical reaction of both his skates on the ice during the throw? The man has a mass of 70 kg. Neglect friction and the motion of his arms.

A. vman = 0.1776 m/s, Navg = 765 N
B. vman = 0.1979 m/s, Navg = 771 N
C. vman = 0.1776 m/s, Navg = 771 N
D. vman = 0.1979 m/s, Navg = 765 N
Answer» D. vman = 0.1979 m/s, Navg = 765 N
20.

A stunt driver in car A travels in free flight off the edge of a ramp at C. At the point of maximum height he strikes car B. If the direct collision is perfectly plastic (e = 0), determine the required ramp speed vC at the end of the ramp C, and the approximate distance s where both cars strike the ground. Each car has a mass of 3.5 Mg. Neglect the size of the cars in the calculation.

A. vC = 25.9 m/s, s = 10.99 m
B. vC = 22.4 m/s, s = 9.52 m
C. vC = 25.9 m/s, s = 10.99 m
D. vC = 25.9 m/s, s = 10.99 m
Answer» C. vC = 25.9 m/s, s = 10.99 m
21.

A 0.6-kg brick is thrown into a 25-kg wagon which is initially at rest. If, upon entering, the brick has a velocity of 10 m/s as shown, determine the final velocity of the wagon.

A. vwagon = 0.203 m/s
B. vwagon = 0.208 m/s
C. vwagon = 0.240 m/s
D. vwagon = 0.234 m/s
Answer» B. vwagon = 0.208 m/s
22.

A boy, having a weight of 90 lb, jumps off a wagon with a relative velocity of vb/w = 6 ft/s. If the angle of jump is 30°, determine the horizontal velocity (vw)2 of the wagon just after the jump. Originally both the wagon and the boy are at rest. Also, compute the total average impulsive force that all four wheels of the wagon exert on the ground of the boy jumps off in t = 0.8s. The wagon has a weight of 20 lb.

A. vwagon = 23.4 ft/s Nwheel = 110.0 lb
B. vwagon = 23.4 ft/s Nwheel = 120.5 lb
C. vwagon = 4.25 ft/s Nwheel = 120.5 lb
D. vwagon = 4.25 ft/s Nwheel = 110.0 lb
Answer» D. vwagon = 4.25 ft/s Nwheel = 110.0 lb
23.

The two handcars A and B each have a mass of 80 kg. Both cars are initially at rest. Both cars start from rest before the man jumps. If the man C has a mass of 70 kg and jumps from A with a horizontal relative velocity of vC/A = 2 m/s and lands on B, determine the velocity of each car after the jump. Neglect the effects of rolling resistance.

A. vA = 0.933 m/s vB = 0.498 m/s
B. vA = 1.750 m/s vB = 0.933 m/s
C. vA = 0.498 m/s vB = 1.750 m/s
D. vA = 1.750 m/s vB = 1.750 m/s
Answer» B. vA = 1.750 m/s vB = 0.933 m/s
24.

A girl having a weight of 40 lb slides down the smooth slide onto the surface of a 20-lb wagon. Determine the speed of the wagon at the instant the girl stops sliding on it. If someone ties the wagon to the slide at B, determine the horizontal impulse the girl will exert at C in order to stop her motion. Neglect friction and assume that the girl starts from rest at the top of the slide, A.

A. vwagon = 20.7 ft/s Imp = 38.6 lb-s
B. vwagon = 31.1 ft/s Imp = 38.6 lb-s
C. vwagon = 31.1 ft/s Imp = 57.9 lb-s
D. vwagon = 20.7 ft/s Imp = 57.9 lb-s
Answer» B. vwagon = 31.1 ft/s Imp = 38.6 lb-s
25.

A rifle has a mass of 2.5 kg. If it is loosely gripped and a 1.5-g bullet is fired from it with a muzzle velocity of 1400 m/s, determine the recoil velocity of the rifle just after firing.

A. vrifle = 0.840 m/s
B. vrifle = 0.525 m/s
C. vrifle = 2.33 m/s
D. vrifle = 1.400 m/s
Answer» B. vrifle = 0.525 m/s
26.

The motor M pulls on the cables with a force F that has a magnitude which varies as shown on the graph. If the 15-kg crate is originally resting on the floor such that the cable tension is zero when the motor is turned on, determine the speed of the crate when t = 6s.

A. vcrate = 23.2 m/s
B. vcrate = 70.0 m/s
C. vcrate = 11.14 m/s
D. vcrate = 58.0 m/s
Answer» B. vcrate = 70.0 m/s
27.

A golf ball having a mass of 40 g is struck such that it has an initial velocity of 200 m/s as shown. Determine the horizontal and vertical components of the impulse given to the ball.

A. Impx = 4.00 N-s, Impy = 6.93 N-s
B. Impx = 6.93 N-s, Impy = 4.00 N-s
C. Impx = 6.93 N-s, Impy = 4.39 N-s
D. Impx = 4.00 N-s, Impy = 7.32 N-s
Answer» C. Impx = 6.93 N-s, Impy = 4.39 N-s
28.

Determine the velocities of blocks A and B 2 s after they are released from rest. Neglect the mass of the pulleys and cables.

A. vA = 21.5 ft/s 8, VB = 21.5 ft/s 9
B. vA = 64.4 ft/s 8, VB = 64.4 ft/s 9
C. vA = 64.4 ft/s 8, VB = 32.2 ft/s 9
D. vA = 21.5 ft/s 8, VB = 10.73 ft/s 9
Answer» B. vA = 64.4 ft/s 8, VB = 64.4 ft/s 9
29.

A 30-lb block is initially moving along a smooth horizontal surface with a speed of v1 = 6 ft/s to the left. If it is acted upon by a force F, which varies in the manner shown, determine the velocity of the block in 15 s. The argument for the cosine is in radians.

A. v2 = 91.4 ft/s 7
B. v2 = 79.4 ft/s 6
C. v2 = 91.4 ft/s 6
D. v2 = 79.4 ft/s 7
Answer» B. v2 = 79.4 ft/s 6
30.

In cases of emergency, the gas actuator can be used to move a 75-kg block B by exploding a charge C near a pressurized cylinder of negligible mass. As a result of the explosion, the cylinder fractures and the released gas forces the front part ofthe cylinder, A, to move B and the floor is = 0.5, determine the impulse that the actuator must impart to B.

A. Imp = 147.2 N-s
B. Imp = 132.2 N-s
C. Imp = 15.00 N-s
D. Imp = 162.2 N-s
Answer» E.
31.

A hockey puck is traveling to the left with a velocity of v1 = 10 m/s when it is struck by a hockey stick and given a velocity of v2 = 20 m/s as shown. Determine the magnitude of the net impulse exerted by the hockey stick on the puck. The puck has a mass of 0.2 kg.

A. Imp = 6.00 N-s
B. Imp = 2.00 N-s
C. Imp = 2.78 N-s
D. Imp = 5.68 N-s
Answer» E.