MCQOPTIONS
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MCQOPTIONS
This section includes 28 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. |
A ball A of mass m falls under gravity from a height h and strikes another ball B of mass m which is supported at rest on a spring of stiffness k. Assume perfect elastic impact. Immediately after the impact |
| A. | the velocity of ball A is 1/2 |
| B. | the velocity of ball A is zero |
| C. | the velocity of both balls is 1/2 |
| D. | None of the above |
| Answer» C. the velocity of both balls is 1/2 | |
| 2. |
A single degree of freedom system having mass 1 kg and stiffness 10 kN/m initially at rest is subjected to an impulse force of magnitude 5 kN for 10 4 seconds. The amplitude in mm of the resulting free vibration is |
| A. | 0.5 |
| B. | 1.0 |
| C. | 5.0 |
| D. | 10.0 |
| Answer» D. 10.0 | |
| 3. |
A mass m1 of 100 kg travelling with a uniform velocity of 5 m/s along a line collides with a stationary mass m2 of 1000 kg. After the collision, both the masses travel together with the same velocity. The coefficient of restitution is |
| A. | 0.6 |
| B. | 0.1 |
| C. | 0.01 |
| D. | 0 |
| Answer» E. | |
| 4. |
A truck accelerates up a 10 incline with a crate of 100 kg. Value of static coefficient of friction between the crate and the truck surface is 0.3. The maximum value of acceleration (in m/s2) of the truck such that the crate does not slide down is ______. |
| A. | 1.15 |
| B. | 1.29 |
| C. | 1.19 |
| D. | 1.11 |
| Answer» D. 1.11 | |
| 5. |
A particle of unit mass is moving on a plane. Its trajectory, in polar coordinates, is given by r(t) = t2, (t), where f is time. The kinetic energy of the particle at time t = 2 is |
| A. | 4 |
| B. | 12 |
| C. | 16 |
| D. | 24 |
| Answer» D. 24 | |
| 6. |
Two disc A and B with identical mass (m) and radius (R) are initially at rest. They roll down from the top of identical inclined planes without slipping. Disc A has all of its mass concentrated at the rim, while Disc B has its mass uniformly distributed. At the bottom of the plane, the ratio of velocity of the center of disc A to the velocity of the center of disc B is |
| A. | |
| B. | |
| C. | 1 |
| D. | |
| Answer» B. | |
| 7. |
Consider a fly wheel whose mass M is distributed almost equally between a heavy, ring-like rim of radius P and a concentric disk-like feature of radius R/2. Other parts of the flywheel, such as spokes, etc, have negligible mass. The best approximation for , if the moment Of inertia of the flywheel about its axis of rotation is expressed as MR2, is _______. |
| A. | 0.56 |
| B. | 0.51 |
| C. | 0.55 |
| D. | 0.59 |
| Answer» B. 0.51 | |
| 8. |
A shell is fired from a cannon. At the instant the shell is just about to leave the barrel, its velocity relative to the barrel is 3 m/s, while the barrel is swinging upwards with a constant angular velocity of 2 rad/s. The magnitude of the absolute velocity of the shell is |
| A. | 3 m/s |
| B. | 4 m/s |
| C. | 5 m/s |
| D. | 7 m/s |
| Answer» D. 7 m/s | |
| 9. |
A particle of unit mass is moving on a plane. Its trajectory, in polar coordinates, is given by r(t) = t |
| A. | 4 |
| B. | 12 |
| C. | 16 |
| D. | 24 |
| Answer» D. 24 | |
| 10. |
The linear acceleration of the reel is |
| A. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>gr </center></td><td rowspan="2"></td></tr><td align="center">(r + k )</td></table> |
| B. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>gk </center></td><td rowspan="2"></td></tr><td align="center">(r + k )</td></table> |
| C. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>grk</center></td><td rowspan="2"></td></tr><td align="center">(r + k )</td></table> |
| D. | <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>mgr </center></td><td rowspan="2"></td></tr><td align="center">(r + k )</td></table> |
| Answer» B. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>gk </center></td><td rowspan="2"></td></tr><td align="center">(r + k )</td></table> | |
| 11. |
Instantaneous centre of a body rolling without sliding on a stationary curved surface lies. |
| A. | at the point of contact |
| B. | on the common normal at the point of contact |
| C. | on the common tangent at the point of contact |
| D. | at the centre of curvature of the stationary surface |
| Answer» B. on the common normal at the point of contact | |
| 12. |
A circular object of radius /rolls without slipping on a horizontal level floor with the center having velocity V. The velocity at the point of contact between the object and the floor is |
| A. | zero |
| B. | V in the direction of motion |
| C. | V opposite to the direction of motion |
| D. | V vertically upward from the floor |
| Answer» B. V in the direction of motion | |
| 13. |
A truck accelerates up a 10 incline with a crate of 100 kg. Value of static coefficient of friction between the crate and the truck surface is 0.3. The maximum value of acceleration (in m/s |
| A. | 1.15 |
| B. | 1.29 |
| C. | 1.19 |
| D. | 1.11 |
| Answer» D. 1.11 | |
| 14. |
A block weighing 200 N is in contact with a level plane whose coefficients of static and kinetic friction are 0.4 and 0.2, respectively. The block is acted upon by a horizontal force (in newton) P = 10t, where t denotes the time in seconds. The velocity (in m/s) of the block attained after 10 seconds is __________. |
| A. | 4.9 |
| B. | 4.6 |
| C. | 4.5 |
| D. | 4.4 |
| Answer» B. 4.6 | |
| 15. |
Two books of mass 1 kg each are kept on a table, one over the other. The coefficient of friction on every pair of contacting surfaces is 0.3. The lower book is pulled with a horizontal force F. The minimum value of F for which slip occurs between the two books is |
| A. | zero |
| B. | 11.77 N |
| C. | 5.88 N |
| D. | 8.83 N |
| Answer» C. 5.88 N | |
| 16. |
The ratio of tension on the tight side to that of the slack ride in a flat belt drive is |
| A. | proportional to the product of coefficient of friction and lap angle |
| B. | an exponential function of the product of coefficient of friction and lap angle |
| C. | proportional to lap angle |
| D. | proportional to the coefficient of friction |
| Answer» C. proportional to lap angle | |
| 17. |
A steel wheel of 600 mm diameter on a horizontal steel rail. It carries a load of 500 N. The coefficient of rolling resistance is 0.3 The force in Newton, necessary to roll the wheel along the rail is |
| A. | 0.5 |
| B. | 5 |
| C. | 1.5 |
| D. | 150 |
| Answer» E. | |
| 18. |
A wheel of mass m and radius r is in accelerated rolling motion without slip under a steady axle torque T. If the coefficient of kinetic friction is , the friction force from the ground on the wheel is |
| A. | mg |
| B. | T/r |
| C. | zero |
| D. | None of these |
| Answer» E. | |
| 19. |
If F = 1 kN, the magnitude of the vertical reaction force developed at the point B in kN is |
| A. | 0.63 |
| B. | 0.32 |
| C. | 1.26 |
| D. | 1.46 |
| Answer» B. 0.32 | |
| 20. |
For the same material and the mass, which of the following configurations of flywheel will have maximum mass moment of inertia about the axis of rotation OO' passing through the center of gravity. |
| A. | <img src="http://images.interviewmania.com/wp-content/uploads/2019/10/24-1.png"> |
| B. | <img src="http://images.interviewmania.com/wp-content/uploads/2019/10/25-1.png"> |
| C. | |
| D. | <img src="http://images.interviewmania.com/wp-content/uploads/2019/10/26-1.png"> |
| E. | <img src="http://images.interviewmania.com/wp-content/uploads/2019/10/27-1.png"> |
| Answer» C. | |
| 21. |
Consider a fly wheel whose mass M is distributed almost equally between a heavy, ring-like rim of radius P and a concentric disk-like feature of radius R/2. Other parts of the flywheel, such as spokes, etc, have negligible mass. The best approximation for , if the moment Of inertia of the flywheel about its axis of rotation is expressed as MR |
| A. | 0.56 |
| B. | 0.51 |
| C. | 0.55 |
| D. | 0.59 |
| Answer» B. 0.51 | |
| 22. |
A circular solid disc of uniform thickness 20 mm, radius 200 mm and mass 20 kg, is used as a flywheel. If it rotates at 600 rpm, the kinetic energy of the flywheel, in Joules is |
| A. | 395 |
| B. | 790 |
| C. | 1580 |
| D. | 3160 |
| Answer» C. 1580 | |
| 23. |
A mass m |
| A. | 0.6 |
| B. | 0.1 |
| C. | 0.01 |
| D. | 0 |
| Answer» E. | |
| 24. |
A single degree of freedom system having mass 1 kg and stiffness 10 kN/m initially at rest is subjected to an impulse force of magnitude 5 kN for 10 |
| A. | 0.5 |
| B. | 1.0 |
| C. | 5.0 |
| D. | 10.0 |
| Answer» D. 10.0 | |
| 25. |
A ball of mass 3 kg moving with a velocity of 4 m/s undergoes a perfectly-elastic directcentral impact with a stationary ball of mass m. After the impact is over, the kinetic energy of the 3 kg ball is 6 J. The possible value(s) of m is/are |
| A. | 1 kg, 6 kg |
| B. | 1 kg, 9 kg |
| C. | 6 kg only |
| D. | 1 kg only |
| Answer» C. 6 kg only | |
| 26. |
A small ball of mass 1 kg moving with a velocity of 12 m/s undergoes a direct central impact with a stationary ball of mass 2 kg. The impact is perfectly elastic. The speed (in m/s) of 2 kg mass ball after the impact will be ______. |
| A. | 10 m/s |
| B. | 9 m/s |
| C. | 8 m/s |
| D. | 6 m/s |
| Answer» D. 6 m/s | |
| 27. |
A ball of mass 0.1 kg, initially at rest, dropped from height of 1 m. Ball hits the ground and bounces off the ground. Upon impact with the ground, the velocity reduces by 20%. The height (in m) to which the ball will rise is _______. |
| A. | 0.66 m |
| B. | 0.04 m |
| C. | 0.64 m |
| D. | 1.64 m |
| Answer» D. 1.64 m | |
| 28. |
During inelastic collision of two particles, which one of the following is conserved? |
| A. | Total linear momentum only |
| B. | Total kinetic energy only |
| C. | Both linear momentum and kinetic energy |
| D. | Neither linear momentum nor kinetic energy |
| Answer» B. Total kinetic energy only | |