MCQOPTIONS
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MCQOPTIONS
This section includes 11 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 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. | |
| 2. |
If u1 and u2 are the velocities of two moving bodies in the same direction before impact and V1 and V2 are their velocities after impact, then coefficient of restitution is given by |
| A. | \(\frac{{{V_1} - {V_2}}}{{{u_1} - {u_2}}}\) |
| B. | \(\frac{{{V_2} - {V_1}}}{{{u_1} - {u_2}}}\) |
| C. | \(\frac{{{u_1} - {u_2}}}{{{V_1} - {V_2}}}\) |
| D. | \(\frac{{{u_2} + {u_1}}}{{{V_2} +{V_1}}}\) |
| Answer» C. \(\frac{{{u_1} - {u_2}}}{{{V_1} - {V_2}}}\) | |
| 3. |
A gun of mass 3000 kg fires horizontally a shell of mass 50 kg with a velocity of 300 m/s. What is the velocity with which the gun will recoil? |
| A. | -5 m/s |
| B. | 10 m/s |
| C. | 50 m/s |
| D. | 30 m/s |
| Answer» B. 10 m/s | |
| 4. |
A ball of mass 3 kg moving with a velocity of 4 m/s undergoes a perfectly-elastic direct-central 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 only |
| B. | 6 kg only |
| C. | 1 kg, 6 kg |
| D. | 1 kg, 9 kg |
| Answer» E. | |
| 5. |
In case of forces, a couple means |
| A. | Two unequal forces acting at two points |
| B. | Two equal and like parallel forces acting at two points |
| C. | Two equal and perpendicular forces acting at two points |
| D. | Two equal and opposite forces acting at two points |
| Answer» E. | |
| 6. |
A stone with mass of 0.1 kg is catapulted as shown in the figure. The total force Fx (in N) exerted by the rubber band as a function of distance x (in m) is given by Fx = 300x2. If the stone is displaced by 0.1 m from the un-stretched position (x = 0) of the rubber band, the energy stored in the rubber band is |
| A. | 0.01 J |
| B. | 0.1 J |
| C. | 1 J |
| D. | 10 J |
| Answer» C. 1 J | |
| 7. |
Ball A of mass 1 kg moving with velocity of 2 m/s strikes directly on a ball of mass 2 kg rest. What are the velocities of the two balls after impact if coefficient of restitution is 0.5? |
| A. | 0 and 1 m/s |
| B. | 1 and 2 m/s |
| C. | 2 and 2 m/s |
| D. | 1 and 1 m/s |
| Answer» B. 1 and 2 m/s | |
| 8. |
If a system is in equilibrium and the position of the system depends upon many independent variables, the principle of virtual work states that the partial derivatives of its total potential energy with respect to each of the independent variable must be |
| A. | -1 |
| B. | 0 |
| C. | 1 |
| D. | ∞ |
| Answer» C. 1 | |
| 9. |
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 | |
| 10. |
A cylinder of mass m rolls down an inclined plane from a height h above a horizontal level. If the velocity of the axis of the cylinder is v when it reaches the lower level, then |
| A. | v = gh |
| B. | v = mgh |
| C. | \(v = \sqrt {\left( {2gh} \right)}\) |
| D. | \(v < \sqrt {\left( {2gh} \right)}\) |
| Answer» E. | |
| 11. |
For two bodies having direct impact, coefficient of restitution is given by |
| A. | \(\frac{{Velocity\;of\;approach}}{{Velocity\;of\;separation}}\) |
| B. | \(\frac{{Velocity\;of\;separation}}{{Velocity\;of\;approach}}\) |
| C. | \(\frac{{Initial\;velocity\;of\;the\;body}}{{Final\;velocity\;of\;the\;body}}\) |
| D. | None of the above |
| Answer» C. \(\frac{{Initial\;velocity\;of\;the\;body}}{{Final\;velocity\;of\;the\;body}}\) | |