MCQOPTIONS
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MCQOPTIONS
This section includes 25 Mcqs, each offering curated multiple-choice questions to sharpen your BITSAT knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
A chain that has a negligible mass is draped over a sprocket which has a mass of 2 kg and a radius of gyration of kO = 50 mm. If the 4-kg block A is released from rest in the position shown, s = 1 m, determine the angular velocity which the chain imparts th the sprocket when s = 2 m. |
| A. | 0 |
| B. | 0 |
| C. | 0 |
| D. | 0 |
| Answer» D. 0 | |
| 2. |
The uniform slender rod has a mass of 5 kg. Determine the magnitude of the reaction at the pin O when the cord at A is cut and = 90° |
| A. | O = 42.0 N |
| B. | O = 91.1 N |
| C. | O = 122.6 N |
| D. | O = 67.4 N |
| Answer» C. O = 122.6 N | |
| 3. |
The small bridge consists of an 1,800-lb uniform deck EF (thin plate), two overhead beams AB (slender rods), each having a weight of 200 lb, and a 2,400-lb counterweight BC, which can be considered as a thin plate having the dimensions shown. The weight of the tie rods AE can be neglected. If the operator lets go of the rope when the bridge is at an at-rest position, = 45°, determine the speed at which the end of the deck E hits the roadway step at H, = 0°. The bridge is pin-connected at A, D, E, and F. |
| A. | vE = 5.91 ft/s |
| B. | vE = 8.21 ft/s |
| C. | vE = 6.12 ft/s |
| D. | vE = 6.36 ft/s |
| Answer» E. | |
| 4. |
THe 500-g rod AB rests along the smooth inner surface of a hemispherical bowl. If the rod is released from the position shown, determine its angular velocity at the instant it swings downward and becomes horizontal. |
| A. | AB = 11.70 rad/s |
| B. | AB = 3.04 rad/s |
| C. | AB = 3.90 rad/s |
| D. | AB = 3.70 rad/s |
| Answer» E. | |
| 5. |
If the 3-lb solid sphere is released from rest when = 30°, determine its angular velocity when = 0°, which is the lowest point of the curved path having a radius of 11.5 in. The sphere does not slip as it rolls. |
| A. | 0 |
| B. | 0 |
| C. | 0 |
| D. | 0 |
| Answer» C. 0 | |
| 6. |
The beam having a weight of 150 lb is supported by two cables. If the cable at end B is cut so that the beam is released from rest when = 30°, determine the speed at which end A strikes the wall. Neglect friction at B. Consider the beam to be a thin rod. |
| A. | vA = 5.87 ft/s |
| B. | vA = 7.43 ft/s |
| C. | vA = 10.18 ft/s |
| D. | vA = 6.95 ft/s |
| Answer» E. | |
| 7. |
A man having a weight of 180 lb sits in a chair of the Ferris wheel, which has a weight of 15,000 lb and a radius of gyration of ko = 37 ft. If a torque of M = 80(103) lb ft is applied about O, determine the angular velocity of the wheel after it has rotated 180°. Neglect the weight of the chairs and note that the man remains in an upright position as the wheel rotates. The wheel starts from rest in the position shown. |
| A. | 0 |
| B. | 0 |
| C. | 0 |
| D. | 0 |
| Answer» C. 0 | |
| 8. |
The spool of cable, originally at rest, has a mass of 200 kg and a radius of gyration of kG = 325 mm. If the spool rests on two small rollers A and B and a constant horizontal force of P = 400 N is applied to the end of the cable, compute the angular velocity of the spool when 8 m of cable has been unraveled. Neglect friction and the mass of the rollers and unraveled cable. |
| A. | 0 |
| B. | 0 |
| C. | 0 |
| D. | 0 |
| Answer» D. 0 | |
| 9. |
A motor supplies a constant torque or twist of M = 120 lb ft to the drum. If the drum has a weight of 30 lb and a radius of gyration of k0 = 0.8ft, determine the speed of the 15-lb carte A after it rises s = 4 ft starting from rest. Neglect the weight of the cord. |
| A. | v = 49.1 ft/s |
| B. | v = 29.6 ft/s |
| C. | v = 26.7 ft/s |
| D. | v = 44.3 ft/s |
| Answer» D. v = 44.3 ft/s | |
| 10. |
An 800-lb tree falls from the vertical position such that it pivots about its cut section at A. If the tree can be considered as a uniform rod, pin-supported at A, determine the speed of its top branch just before it strikes the ground. |
| A. | vB = 69.5 ft/s |
| B. | vB = 80.2 ft/s |
| C. | vB = 139.0 ft/s |
| D. | vB = 56.7 ft/s |
| Answer» B. vB = 80.2 ft/s | |
| 11. |
The roller-coaster car has a speed of 15 ft/s when it is at the crest of a vertical parabolic track. Compute the velocity and the normal force it exerts on the track when it reaches point B. Neglect friction and the mass of the wheels. The total weight of the car and the passengers is 350 lb. |
| A. | vB = 114.5 ft/s, NB = 29.1 lb |
| B. | vB = 114.5 ft/s, NB = 284 lb |
| C. | vB = 114.5 ft/s, NB = 156.5 lb |
| D. | vB = 114.5 ft/s, NB = 440 lb |
| Answer» B. vB = 114.5 ft/s, NB = 284 lb | |
| 12. |
The car C and its contents have a weight of 600 lb, whereas block B has a weight of 200 lb. If the car is released from rest, determine its speed when it travels 30 ft down the 20° incline. |
| A. | vC = 3.55 ft/s |
| B. | vC = 3.94 ft/s |
| C. | vC = 17.68 ft/s |
| D. | vC = 15.94 ft/s |
| Answer» D. vC = 15.94 ft/s | |
| 13. |
The book A having a weight of 1.5 lb slides on the smooth horizontal slot. If the block is drawn back so that s = 0. Each of the two springs has a stiffness of k = 150 lb/ft and an unstretched length of 0.5 ft. |
| A. | vA = 106.2 ft/s |
| B. | vA = 120.4 ft/s |
| C. | vA = 160.5 ft/s |
| D. | vA = 107.7 ft/s |
| Answer» B. vA = 120.4 ft/s | |
| 14. |
The firing mechanism of a pinball machine consists of a plunger P having a mass of 0.25 kg and a spring of stiffness k = 300 N/m. When s = 0, the spring is compressed 50 mm. If the arm is pulled back such that s = 100 mm and released, determine the speed of the 0.3 kg pinball B just before the plunger strikes the stop, i.e., s = 0. Assume all sufaces of contact to be smooth. The ball moves in the horizontal plane. Note that the ball slides without rolling. |
| A. | v = 4.47 m/s |
| B. | v = 3.30 m/s |
| C. | v = 2.34 m/s |
| D. | v = 3.16 m/s |
| Answer» C. v = 2.34 m/s | |
| 15. |
The elevator E and its freight have a total mass of 400 kg. Hoisting is provided by the motor M and the 60-kg block C. If the motor has an efficiency of e = 0.6, determine the power that must be supplied to the motor when the elevator is hoisted upward at a constant speed of vE = m/s. |
| A. | P = 22.2 kW |
| B. | P = 13.34 kW |
| C. | P = 26.2 kW |
| D. | P = 30.1 kW |
| Answer» B. P = 13.34 kW | |
| 16. |
An electric train car, having a mass of 25 Mg, travels up a 10° incline with a constant speed of 80 km/h. Determine the power required to overcome the force of gravity. |
| A. | P = 961 kW |
| B. | P = 346 kW |
| C. | P = 341 kW |
| D. | P = 946 kW |
| Answer» E. | |
| 17. |
A truck has a weight of 25,000 lb and an engine which transmits a power of 350hp. Assuming that the wheels do not slip on the ground, determine the angle of the largest incline the truck can climb at a constant speed of v = 50 ft/s. |
| A. | 2 = 8.86E |
| B. | 2 = 24.3E |
| C. | 2 = 8.75E |
| D. | 2 = 26.8E |
| Answer» B. 2 = 24.3E | |
| 18. |
The block has a weight of 1.5 lb and slides along the smooth chute AB. It is released from rest at A, which has coordinates of A(5 ft, 0, 10 ft). Determine the speed at which it slides off at B, which has coordinates of B(0, 8 ft, 0). |
| A. | vB = 28.7 ft/s |
| B. | vB = 25.4 ft/s |
| C. | vB = 26.8 ft/s |
| D. | vB = 29.8 ft/s |
| Answer» C. vB = 26.8 ft/s | |
| 19. |
The "flying car" is a ride at an amusement park, which consists of a car having wheels that roll along a track mounted on a drum. Motion of the car is created by applying the car's brake, thereby gripping the car to the track and allowing it to move with a speed of vt = 3m/s. If the rider applies the brake when going from B to A and then releases it at the top of the drum, A, so that the car coasts freely down along the track to B ( = rad), determine the speed of the car at B and the normal reaction which the drum exerts on the car at B. The rider and car have a total mass of m = 250 kg and the center of mass of the car and rider moves along a circular path of radius r = 8 m. |
| A. | vB = 12.88 m/s, NB = 2.45 kN |
| B. | vB = 12.88 m/s, NB = 7.64 kN |
| C. | vB = 17.97 m/s, NB = 12.54 kN |
| D. | vB = 17.97 m/s, NB = 7.64 kN |
| Answer» D. vB = 17.97 m/s, NB = 7.64 kN | |
| 20. |
A car, assumed to be rigid and having a mass of 800 kg, strikes a barrel-barrier installation without the driver applying the brakes. From experiments, the magnitude of the force of resistance Fr, created by deforming the barrels successively, is shown as a function of vehicle penetration. If the car strikes the barrier traveling at Vc = 70 km/h, determine approximately the distance s to which the car penetrates the barrier. |
| A. | s = 1.890 m |
| B. | s = 4.72 m |
| C. | s = 2.77 m |
| D. | s = 2.52 m |
| Answer» D. s = 2.52 m | |
| 21. |
When at A the bicyclist has a speed of vA = ft/s. If he coasts without pedaling from the top of the hill at A to the shore of B and then leaps off the shore, determine his speed at B and the distance x where he strikes the water at C. The rider and his bicycle have a total weight of 150 lb. Neglect the size of the bicycle and wind resistance. |
| A. | vB = 35.0 ft/s, x = 41.2 ft |
| B. | vB = 35.0 ft/s, x = 36.1 ft |
| C. | vB = 40.1 ft/s, x = 46.5 ft |
| D. | vB = 40.1 ft/s, x = 52.0 ft |
| Answer» B. vB = 35.0 ft/s, x = 36.1 ft | |
| 22. |
A motor hoists a 50-kg crate at constant speed to a height of h = 6 m in 3 s. If the indicated power of the motor is 4 kw, determine the motor's efficiency. |
| A. | e = 0.025 (2.5%) |
| B. | e = 0.245 (24.5%) |
| C. | e = 0.736 (73.6%) |
| D. | e = 0.05 (5.0%) |
| Answer» C. e = 0.736 (73.6%) | |
| 23. |
The coefficient of friction between the 2-lb block and the surface is = 0.2. The block is acted upon by a horizontal force of P. Determine the maximum deformation of the outer spring B at the instant the block comes to rest. Spring B has a stiffness of KB = 20 lb/ft and the "nested" spring C has a stiffness of kc = 40 lb/ft. |
| A. | xB = 1.154 ft |
| B. | xB = 0.790 ft |
| C. | xB = 0.923 ft |
| D. | xB = 1.137 ft |
| Answer» E. | |
| 24. |
A car is equipped with a bumper B designed to absorb collisions. The bumper is mounted to the car using pieces of flexible tubing T. Upon collision with a rigid barrier A, a constant horizontal force F is developed which causes a car deceleration of 3g = 29.43 m/s2 (the highest safe deceleration for a passenger without a seatbelt). If the car and passenger have a total mass of 1.5 Mg and the car is initially coasting with a speed of 1.5 m/s, compute the magnitude of F needed to stop the car and the deformation x of the bumper tubing. |
| A. | F = 44.1 kN, x = 38.2 mm |
| B. | F = 22.1 kN, x = 76.4 mm |
| C. | F = 22.1 kN, x = 38.2 mm |
| D. | F = 44.1 kN, x = 76.4 mm |
| Answer» B. F = 22.1 kN, x = 76.4 mm | |
| 25. |
A car having a mass of 2 Mg strikes a smooth, rigid sign post with an initial speed of 30 km/h. To stop the car, the front end horizontally deforms 0.2 m. If the car is free to roll during the collision, determine the average horizontal collision force causing the deformation. |
| A. | Favg = 4500 kN |
| B. | Favg = 9000 kN |
| C. | Favg = 347 kN |
| D. | Favg = 694 kN |
| Answer» D. Favg = 694 kN | |