MCQOPTIONS
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MCQOPTIONS
This section includes 25 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. |
Determine the nature of force in member AB and AC respectively of the truss shown in figure. A is hinge support and B is roller support. The direction of reaction at supports (RA and RB) is also shown. Load 50 N is acting at joint C. |
| A. | Tensile, Tensile |
| B. | Compression, Compression |
| C. | Tensile, Compression |
| D. | Compression, Tensile |
| Answer» D. Compression, Tensile | |
| 2. |
If two forces each equal top act at right angles, their effect may be neutralized by a third force acting along their bisector in opposite direction whose magnitude is equal to |
| A. | \(\frac{{\rm{p}}}{2}\) |
| B. | 2p |
| C. | \({\rm{p}}\sqrt 2 \) |
| D. | 3p |
| Answer» D. 3p | |
| 3. |
A circular disc rolls down an inclined plane, the fraction of its total energy associated with its rotation is _____. |
| A. | 1/2 |
| B. | 1/3 |
| C. | 1/4 |
| D. | 2/3 |
| Answer» C. 1/4 | |
| 4. |
A block weighing 981 N is resting on a horizontal surface. The coefficient of friction between the block and the horizontal surface is μ = 0.2. A vertical cable attached to the block provides partial support as shown. A man can pull horizontally with a force of 100 N. What will be the tension, T (in N) in the cable if the man is just able to move the block to the right? |
| A. | 176.2 |
| B. | 196 |
| C. | 481 |
| D. | 981 |
| Answer» D. 981 | |
| 5. |
A block of mass 4√2 kg is at rest on the inclined plane. The inclined plane is inclined at an angle of 135° from horizontal direction in anticlockwise direction. Determine the coefficient of friction so that block can start slide in downward direction, assume the acceleration of gravity as 10 m/s2. |
| A. | All the options are correct |
| B. | Coefficient of friction must be less than 1 |
| C. | Coefficient of friction must be greater than 1 |
| D. | Coefficient of friction must be equal to 1 |
| Answer» C. Coefficient of friction must be greater than 1 | |
| 6. |
A 13 m ladder is placed against a smooth vertical wall with its lower end 5 m from the wall. What should be the coefficient of friction between the ladder and floor so that it remains in equilibrium? |
| A. | 0.1 |
| B. | 0.15 |
| C. | 0.28 |
| D. | None of these |
| Answer» E. | |
| 7. |
A cylinder of radius 250 mm and weight, W = 10 kN is rolled up an obstacle of height 50 mm by applying a horizontal force P at its center as shown in the figure.All interfaces are assumed frictionless. The minimum value of P is |
| A. | 4.5 kN |
| B. | 5.0 kN |
| C. | 6.0 kN |
| D. | 7.5 kN |
| Answer» E. | |
| 8. |
A beam is subjected to a force system shown in figure. This force system can be reduced to: |
| A. | A single force of 50 N (downward) at 2.5 m from D |
| B. | A single force of 50 N (downward) at 2.5 m from A |
| C. | A single force of 50 N (upward) at 2.5 m from A |
| D. | A single force of 50 N (upward) at 2.5 m from D |
| Answer» C. A single force of 50 N (upward) at 2.5 m from A | |
| 9. |
Let F1 and F2 be the force between two bodies separated by a distance d and 2d respectively. Then F2/F1 is |
| A. | 2 |
| B. | 1/2 |
| C. | 4 |
| D. | 1/4 |
| Answer» E. | |
| 10. |
In collinear force system the forces whose line of action lie on: |
| A. | Does not meet at the one point |
| B. | Same line |
| C. | On the same plain |
| D. | Meet at one point |
| Answer» C. On the same plain | |
| 11. |
If a force (F) is acting on a rigid body at any point P, then this force (F) can be replaced by: |
| A. | An equal, opposite and parallel force (F) applied at point Q together with a couple |
| B. | An equal, opposite and parallel force (F) only at point Q |
| C. | A moment at point Q only |
| D. | An equal, parallel and same sense force (F) at point Q together with a couple |
| Answer» E. | |
| 12. |
For the forces system shown below, the tension T1 in the rope is |
| A. | 500 N |
| B. | 866 N |
| C. | 1000 N |
| D. | 1732 N |
| Answer» D. 1732 N | |
| 13. |
In the joint method of plane truss analysis, value of forces in the member of truss can be found out when joint has: |
| A. | Any number of unknown force members |
| B. | Not more than two unknown force members |
| C. | Only three unknown force members |
| D. | Only four unknown force members |
| Answer» C. Only three unknown force members | |
| 14. |
A cubical box (each side 10 cm) of weight 19.6 N is placed on a table. The pressure exerted by the box on the table is |
| A. | 19.6 N/m2 |
| B. | 1.96 × 103 N/m2 |
| C. | 1.96 N/m2 |
| D. | 0.98 × 103 N/m2 |
| Answer» C. 1.96 N/m2 | |
| 15. |
In the figure below, what is the acceleration of body with mass m2, given g is the acceleration due to gravity (assume pulley and surfaces are smooth) |
| A. | g |
| B. | \(\frac{{{m_1} + {m_2}}}{{{m_1}}}g\) |
| C. | \(\frac{{{m_1} + {m_2}}}{{{m_2}}}g\) |
| D. | \(\frac{{{m_2}}}{{{m_1} + {m_2}}}g\) |
| Answer» E. | |
| 16. |
A rigid body will be in equilibrium under the action of two forces only when: |
| A. | Forces have same magnitude |
| B. | Forces have same magnitude and same line of action |
| C. | Forces have same magnitude, same line of action and same sense |
| D. | Forces have same magnitude, same line of action and opposite sense |
| Answer» E. | |
| 17. |
If the line of action of all the forces in a plane is passing through a single point, then it represents a: |
| A. | Collinear force system |
| B. | Parallel force system |
| C. | General force system |
| D. | Concurrent force system |
| Answer» E. | |
| 18. |
A body is in equilibrium when: |
| A. | no force or moment acts on the body |
| B. | the vector sum of external forces and moments is zero |
| C. | the body is accelerating |
| D. | the vector sum of external forces is zero |
| Answer» C. the body is accelerating | |
| 19. |
A block of 500 N is to be moved upward for a distance of 1.6 m on an inclined plane of 45° with horizontal. Work done will be [μ = 0.25]: |
| A. | 1000 Nm |
| B. | 500√2 Nm |
| C. | 500 Nm |
| D. | 100 Nm |
| Answer» C. 500 Nm | |
| 20. |
A downward vertical load of 10 kN acts at a distance of 40 cm from the left end on a 1 m long beam. This beam is simply supported at both ends. The vertical reaction at the left end is: |
| A. | 0.25 kN |
| B. | 5 kN |
| C. | 6 kN |
| D. | 4 kN |
| Answer» D. 4 kN | |
| 21. |
How does a lubricant reduce friction between moving parts of a machine? |
| A. | Lubricant tears the parts |
| B. | The lubricant forms a thin film of surface between the moving parts so that they don't rub against each other directly |
| C. | Lubricant makes the moving parts tight |
| D. | Lubricant increases the material's irregularities |
| Answer» C. Lubricant makes the moving parts tight | |
| 22. |
A block of mass 10 kg is sliding on the ground with applied external force of 20 N. The coefficient of friction between the block and the ground is 0.1. Determine the linear acceleration of the block. Assume the acceleration due to gravity as 10 m/s2 . |
| A. | 1.2 m/s2 |
| B. | 1 m/s2 |
| C. | 0.5 m/s2 |
| D. | 3 m/s2 |
| Answer» C. 0.5 m/s2 | |
| 23. |
A roller of weight W is to be rolled over a wooden block as shown in the figure. The pull F required to just cause the said motion |
| A. | W/2 |
| B. | W |
| C. | \(\sqrt 3 W\) |
| D. | 2W |
| Answer» D. 2W | |
| 24. |
A bucket of water weighing 10 kg is pulled up from a 20 m deep well by a rope weighing 1 kg/m length, then the work done is _____. |
| A. | 200 kg-m |
| B. | 400 kg-m |
| C. | 500 kg-m |
| D. | 600 kg-m |
| Answer» C. 500 kg-m | |
| 25. |
Condition for the stable equilibrium of a conservative force system in terms of potential energy U is |
| A. | δU = 0 and δ2U = 0 |
| B. | δU = 0 and δ2U > 0 |
| C. | δU = 0 and δ2U < 0 |
| D. | δU > 0 and δ2U = 0 |
| Answer» C. δU = 0 and δ2U < 0 | |