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MCQOPTIONS
This section includes 72 Mcqs, each offering curated multiple-choice questions to sharpen your Engineering Mechanics knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
If Angle of friction is zero, the body will experience: |
| A. | Limiting friction |
| B. | Zero friction |
| C. | The force of friction will act normal to direction of motion |
| D. | None of these |
| Answer» C. The force of friction will act normal to direction of motion | |
| 52. |
A 16 N force produce a moment of 64 Nm. The moment arm is |
| A. | 2 m |
| B. | \(\sqrt 2 \;m\) |
| C. | 8 m |
| D. | 4 m |
| Answer» E. | |
| 53. |
A block resting on an inclined plane begins to slide down the plane. If the angle of inclination is gradually increased to 30 degrees, then the coefficient of friction between the block and the plane is- |
| A. | 0.5 |
| B. | 0.577 |
| C. | 0.72 |
| D. | 0.866 |
| Answer» C. 0.72 | |
| 54. |
A bar of uniform cross-section and weighing 100 N is held horizontally using two massless and inextensible strings S1 and S2 as shown in the figure.The tensions in the strings are |
| A. | T1 = 100 N and T2 = 0 N |
| B. | T1 = 0 N and T2 = 100 N |
| C. | T1 =75 N and T2 = 25 N |
| D. | T1 = 25 N and T2 = 75 N |
| Answer» C. T1 =75 N and T2 = 25 N | |
| 55. |
A block R of mass 100 kg is placed on a block S of mass 150 kg as shown in the figure. Block R is tied to the wall by a massless and inextensible string PQ. If the coefficient of static friction for all surfaces is 0.4, the minimum force F (in kN) needed to move the block S is |
| A. | 0.69 |
| B. | 0.88 |
| C. | 0.98 |
| D. | 1.37 |
| Answer» E. | |
| 56. |
A crate moves x m as a woman pulls on it with a 10-N force. Rank the situations shown below according to the work done by the force, least to greatest. |
| A. | 1, 2, 3 |
| B. | 2, 1, 3 |
| C. | 3, 2, 1 |
| D. | 3, 1, 2 |
| Answer» D. 3, 1, 2 | |
| 57. |
A block of mass 20 kg is placed on a horizontal surface, co-efficient of static friction and co-efficient of kinematic friction between the block and surface are 0.5 and 0.4 respectively. What is the minimum force required to be applied on the block in the horizontal direction so that the block just starts to move? Consider g = 10 m/sec2 |
| A. | 200 N |
| B. | 50 N |
| C. | 100 N |
| D. | 80 N |
| Answer» D. 80 N | |
| 58. |
If point A is in equilibrium under the action of the applied forces, the values of tensions TAB and TAC are respectively. TAB and TAC are making angle of 60o and 30o, respectively from the horizontal. |
| A. | 520 N and 300 N |
| B. | 300 N and 520 N |
| C. | 450 N and 150 N |
| D. | 150 N and 450 N |
| Answer» B. 300 N and 520 N | |
| 59. |
A force F is used to pull a 50 kg block, as shown in figure. Determine the magnitude and direction of the friction force when F = 400 N. |
| A. | 45 N up the plane |
| B. | 80 N up the plane |
| C. | 45 N down the plane |
| D. | 80 N down the plane |
| Answer» D. 80 N down the plane | |
| 60. |
A body "A" of weight 10 kg with its center of gravity 25 cm from the axis of rotation is to be balanced by another body ‘B’ of weight 5 kg. The radius at which the center of gravity of weight ‘B’ should be placed is |
| A. | 12.5 cm |
| B. | 2 cm |
| C. | 50 cm |
| D. | None of these |
| Answer» D. None of these | |
| 61. |
A barge is pulled by two tugboats as shown in the figure below. The resultant of forces exerted by the tugboats is 1000 kg force. What will be the value of θ so that tension in rope 2 is minimum? |
| A. | 30° |
| B. | 45° |
| C. | 60° |
| D. | 0° |
| Answer» D. 0° | |
| 62. |
An assembly made of a rigid arm A-B-C hinged at end A and supported by an elastic rope C-D at end C is shown in the figure. The members may be assumed to be weightless and the lengths of the respective members are as shown in the figure.(Length of AB & BC are L)Under the action of a concentrated load P at C as shown, the magnitude of tension developed in therope is |
| A. | \(\frac{{3P}}{{\sqrt 2 }}\) |
| B. | \(\frac{P}{{\sqrt 2 }}\) |
| C. | \(\frac{{3P}}{8}\) |
| D. | \(\sqrt 2 P\) |
| Answer» C. \(\frac{{3P}}{8}\) | |
| 63. |
Define free-body diagram. |
| A. | A figure that represents external forces acting on a body. |
| B. | A diagram that represents internal forces acting on a body. |
| C. | A free-hand sketch representing a body. |
| D. | A diagram that only represents moments acting on a body. |
| Answer» B. A diagram that represents internal forces acting on a body. | |
| 64. |
A vehicle moving at a speed of 88 km / hr weighs 62293.5 N and its rolling resistance coefficient is 0.018. The rolling resistance of the vehicle is |
| A. | 1121.3 N |
| B. | 1000.4 N |
| C. | 975.7 N |
| D. | 845.6 N |
| Answer» B. 1000.4 N | |
| 65. |
A block of mass 5 kg slides down from rest along a frictionless inclined plane that makes an angle of 30° with horizontal. What will be the speed of the block after it covers a distance of 3.6 m along the plane? [g = 10 m/s2] |
| A. | 5 m/s |
| B. | 6 m/s |
| C. | 7 m/s |
| D. | 8 m/s |
| Answer» C. 7 m/s | |
| 66. |
A 1 kg block is resting on a surface with coefficient of friction 0.1. A force of 0.8 N is applied to the block as shown in figure. The friction force is |
| A. | 0 N |
| B. | 0.8 N |
| C. | 0.98 N |
| D. | 1.2 N |
| Answer» C. 0.98 N | |
| 67. |
25 N effort is required to slide the barrel of 1 kN. The coefficient of friction is |
| A. | 0.025 |
| B. | 0.25 |
| C. | 0.4 |
| D. | 2.5 |
| Answer» B. 0.25 | |
| 68. |
A body is resting on a plane inclined at angle 30° to horizontal. What force would be required to slide it down, if the coefficient of friction between body and plane is 0.3? |
| A. | Zero |
| B. | 1 kg |
| C. | 5 kg |
| D. | 10 kg |
| E. | None of these |
| Answer» B. 1 kg | |
| 69. |
If three non parallel forces hold a rigid body in equilibrium, they must be- |
| A. | Equal in magnitude |
| B. | Concurrent |
| C. | Non-concurrent |
| D. | Collinear |
| Answer» C. Non-concurrent | |
| 70. |
In a hydraulic crane, if there are "n" number of pulley in each pulley block, then the velocity ratio will be : |
| A. | n |
| B. | 2n |
| C. | n/2 |
| D. | None of the above |
| Answer» B. 2n | |
| 71. |
A block of mass M is released from point P on a rough inclined plane with an inclination angle θ, shown in the figure below. The coefficient of friction is μ. If μ < tan θ, then the time taken by the block to reach another point Q on the inclined plane, where PQ = S, is |
| A. | \(\sqrt {\frac{{2s}}{{g\cos \theta \left( {\tan \theta - \mu } \right)}}} \) |
| B. | \(\sqrt {\frac{{2s}}{{g\cos \theta \left( {\tan \theta + \mu } \right)}}} \) |
| C. | \(\sqrt {\frac{{2s}}{{g\sin \theta \left( {\tan \theta - \mu } \right)}}} \) |
| D. | \(\sqrt {\frac{{2s}}{{g\sin \theta \left( {\tan \theta + \mu } \right)}}} \) |
| Answer» B. \(\sqrt {\frac{{2s}}{{g\cos \theta \left( {\tan \theta + \mu } \right)}}} \) | |
| 72. |
If the line of action of all the forces are along the same line, then the forces are said to be- |
| A. | Collinear forces |
| B. | Coplanar concurrent forces |
| C. | Coplanar parallel forces |
| D. | Non-coplanar non-concurrent forces |
| Answer» B. Coplanar concurrent forces | |