MCQOPTIONS
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MCQOPTIONS
This section includes 34 Mcqs, each offering curated multiple-choice questions to sharpen your Engineering Mechanics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
An elevator has a downward acceleration of 0.1 g m/s2. What force will be transmitted to the floor of elevator by a man of weight ‘W’ travelling in the elevator? |
| A. | W/10 |
| B. | 11W/10 |
| C. | 9W/10 |
| D. | W |
| Answer» D. W | |
| 2. |
A ball of mass m is raised to height h and then dropped to the ground. When the ball reaches the ground, the velocity of the ball is (neglecting air resistance), where g is the acceleration due to gravity. |
| A. | \(\sqrt {g\;h}\) |
| B. | \(\sqrt {2g\;h}\) |
| C. | \(\sqrt {g\;h/2}\) |
| D. | \(2\sqrt {g\;h}\) |
| Answer» C. \(\sqrt {g\;h/2}\) | |
| 3. |
A stone is dropped into a river from a stationary balloon 405 m above water. Another stone is thrown vertically down 1.00 s after the first is dropped. The stones strike the water at the same time. Time initial speed of the second stone is (acceleration due to gravity g = 10 m/s2) |
| A. | 12.625 m/s |
| B. | 16.625 m/s |
| C. | 8.625 m/s |
| D. | 10.625 m/s |
| Answer» E. | |
| 4. |
A satellite is kept on moving in its orbit around the earth due to ________. |
| A. | Centrifugal force |
| B. | Centripetal force |
| C. | Gravitational force |
| D. | Resultant forces acting on satellite |
| Answer» C. Gravitational force | |
| 5. |
A particle starts from rest and moves in a straight line whose equation of motion is given by S = 2t3 - t2 - 1. The acceleration of the particle after one second will be- |
| A. | 4 m/s2 |
| B. | 6 m/s2 |
| C. | 8 m/s2 |
| D. | 10 m/s2 |
| Answer» E. | |
| 6. |
A particle is moving in a circle with uniform speed. Its motion is |
| A. | Periodic and simple harmonic both |
| B. | Periodic but not simple harmonic |
| C. | Not a periodic motion |
| D. | None of the above |
| Answer» C. Not a periodic motion | |
| 7. |
A body is thrown vertically upwards with an initial velocity 15 m/s. How much time would the body take to get back to the point from where it was thrown?(g = 10 m/s2) |
| A. | 1 second |
| B. | 2 seconds |
| C. | 3 seconds |
| D. | 4 seconds |
| Answer» D. 4 seconds | |
| 8. |
A bicycle and rider travelling at 12 km/hr on a level road have a mass of 105 kg. A brake is applied to a rear wheel having 800 mm diameter. The pressure on the brake is 80 N and the coefficient of friction is 0.06. The number of turns of the wheel before coming to rest will be |
| A. | 48.3 revolutions |
| B. | 42.6 revolutions |
| C. | 38.3 revolutions |
| D. | 32.6 revolutions |
| Answer» B. 42.6 revolutions | |
| 9. |
A force acting on a body of mass 1.5 kg, accelerates it from rest to a velocity of 4 m/s. The change in the momentum of the body is |
| A. | 1.5 kg m/s |
| B. | 3.0 kg m/s |
| C. | 4.5 kg m/s |
| D. | 6.0 kg m/s |
| Answer» E. | |
| 10. |
A bullet a mass m kg is fired horizontally with a velocity v m/s from a pistol of mass M kg. The recoil velocity of the pistol is |
| A. | (m/M)v m/s |
| B. | -(m/M)v m/s |
| C. | v m/s |
| D. | -(M/m)v m/s |
| Answer» C. v m/s | |
| 11. |
A ball of mass 10 kg is moving with a velocity of 5 m/s. The kinetic energy of the ball is |
| A. | 50 J |
| B. | 125 J |
| C. | 250 J |
| D. | 25 J |
| Answer» C. 250 J | |
| 12. |
A force gives a certain mass an acceleration a. If the force is doubled and the mass is reduced to half of its original value, the acceleration becomes |
| A. | a |
| B. | 2a |
| C. | 4a |
| D. | 6a |
| Answer» D. 6a | |
| 13. |
A rubber ball is thrown vertically upward with a velocity u from the top of a building. It strikes the ground with a velocity 3u. The time taken by the ball to reach the ground is given by: |
| A. | 4u/g |
| B. | 3u/g |
| C. | 2u/g |
| D. | u/g |
| Answer» B. 3u/g | |
| 14. |
An elevator weighing 1000 kg attains an upward velocity of 4 m/sec in two sec with uniform acceleration. The tension in the supporting cables will be about: |
| A. | 1000 N |
| B. | 800 N |
| C. | 12000 N |
| D. | 2000 N |
| Answer» D. 2000 N | |
| 15. |
An electron has a constant acceleration of 3.2 m/s2, At a certain instant, its velocity is 9.6 m/s. The velocity of the electron 2.5 s earlier was |
| A. | 3.6 m/s |
| B. | 1.6 m/s |
| C. | 2.4 m/s |
| D. | 1.9 m/s |
| Answer» C. 2.4 m/s | |
| 16. |
A particle while sliding down a smooth plane of 19.86 √2 m length acquires a velocity of 19.86 m/sec. The inclination of plane is:- |
| A. | 30° |
| B. | 45° |
| C. | 60° |
| D. | 75° |
| Answer» C. 60° | |
| 17. |
A 10 kg Aluminium block is dragged on a plain horizontal surface at a constant velocity of 2 m/s. A frictional force of 60 N acts on it. What is the net force acting on the block? |
| A. | 60 N |
| B. | 100 N |
| C. | 160 N |
| D. | 0 N |
| Answer» E. | |
| 18. |
A wound watch spring possesses energy in the form of |
| A. | kinetic energy |
| B. | spring energy |
| C. | mechanical potential energy |
| D. | none of these |
| Answer» D. none of these | |
| 19. |
A bullet of mass m kg is fired horizontally with a velocity v m/s from a gun of mass 100 m kg. The recoil velocity of the gun is |
| A. | v m/s |
| B. | –v m/s |
| C. | (v/100) m/s |
| D. | –(v/100) m/s |
| Answer» E. | |
| 20. |
A ball of mass m is raised to height h and then dropped to the ground. When the ball has fallen half of the height, the velocity of the ball is (neglecting air resistance), where g is the acceleration due to gravity. |
| A. | \(\sqrt {gh}\) |
| B. | \(\sqrt {2gh}\) |
| C. | \(\sqrt {gh/2}\) |
| D. | \(2\sqrt {gh}\) |
| Answer» B. \(\sqrt {2gh}\) | |
| 21. |
If the radius is doubled and angular speed is reduced to half of its original value, the centrifugal force relative to its original value is |
| A. | 2 times |
| B. | 0.5 times |
| C. | 0.2 times |
| D. | 0.1 times |
| Answer» C. 0.2 times | |
| 22. |
A particle moving with an acceleration of 6 m/s2 covers 40 m during 5th seconds of its journey. What was the initial velocity of particle? |
| A. | 10 m/s |
| B. | 11 m/s |
| C. | 12 m/s |
| D. | 13 m/s |
| Answer» E. | |
| 23. |
A force of 20 N accelerates a body from rest to a velocity of 3 m/s in 10 s. The magnitude of change in momentum of the body in one second is |
| A. | 2 kg m/s |
| B. | 20 kg m/s |
| C. | 60 kg m/s |
| D. | 6 kg m/s |
| Answer» C. 60 kg m/s | |
| 24. |
A body moves, from rest with a constant acceleration of 5 m/s2. The distance covered in 5 sec. is: |
| A. | 25 m |
| B. | 62.5 m |
| C. | 50 m |
| D. | 125 m |
| Answer» C. 50 m | |
| 25. |
An elevator weighing 1000 kg attains an upward velocity of 4 m/sec in two seconds with uniform acceleration. The tension (in N) in supporting cable will be (g = 9.8 m/s2) |
| A. | 1204 N |
| B. | 9800 N |
| C. | 2000 N |
| D. | 11800 N |
| Answer» E. | |
| 26. |
A monkey standing on the rooftop of a house of height h throws a ball vertically downwards and another ball horizontally with the same velocity u. The ratio of their velocities when they reach the earth’s surface will be: |
| A. | 1 : 2 |
| B. | 1 : 3 |
| C. | 1 : 1 |
| D. | 2 : 1 |
| Answer» D. 2 : 1 | |
| 27. |
A particle of mass 1 kg moves in a straight line under the influence of a force which increases linearly with time at the rate of 60 N/s, it being 40 N initially. The position of the particle after a lapse of 5 s, if it started from rest at the origin, will be |
| A. | 1250 m |
| B. | 1500 m |
| C. | 1750 m |
| D. | 2000 m |
| Answer» D. 2000 m | |
| 28. |
A 5 kg box is raised through a height. Its potential energy increases by 49 J. The height is (g = 9.8 m/s2) |
| A. | 9.8 m |
| B. | 5.0 m |
| C. | 1.0 m |
| D. | 0.5 m |
| Answer» D. 0.5 m | |
| 29. |
A body has an initial velocity of 2 m/s. It moves with an acceleration of 4 m/s2. Its velocity after 5 seconds will be: |
| A. | 22 m/s |
| B. | 32 m/s |
| C. | 42 m/s |
| D. | 20 m/s |
| Answer» B. 32 m/s | |
| 30. |
Let g be the acceleration due to gravity at a place on earth (mass M and radius R). The ratio g/G at the place is given by (G – Universal gravitational constant) |
| A. | M/R |
| B. | M/R2 |
| C. | MR |
| D. | MR2 |
| Answer» C. MR | |
| 31. |
An elevator weighing 1000 kg attains an upward velocity of 4 m/sec in two seconds with uniform acceleration. The tension in the supporting cables will be:- |
| A. | 1000 N |
| B. | 800 N |
| C. | 1200 N |
| D. | None of these |
| Answer» E. | |
| 32. |
An example of rotational motion is |
| A. | Movement of a car on a straight road |
| B. | Spinning of earth |
| C. | Movement of drawer of a table |
| D. | Motion of earth around the sun |
| Answer» C. Movement of drawer of a table | |
| 33. |
A flywheel starting from rest and accelerating uniformly performs 25 revolutions in 3 seconds. Its angular velocity in rpm after 10 seconds will be. |
| A. | 20 rps |
| B. | 25 rps |
| C. | 45 rps |
| D. | 55 rps |
| Answer» E. | |
| 34. |
Newton’s second law of motion states that |
| A. | Force is equal to the product of mass and acceleration |
| B. | Every action has an equal and opposite reaction |
| C. | Force is proportional to the product of mass and acceleration |
| D. | None of the above |
| Answer» D. None of the above | |