1000+ Applied Mechanics and Graphic Statics MCQ for SSC JHT [Solved]
Thursday 9th of March 2023
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1. A body of weight w placed on an inclined plane is acted upon by a force P parallel to the plane which causes the body just to move up the plane. If the angle of inclination of the plane is ? and angle of friction is ?, the minimum value of P, is
A. w sin (? - ?)/cos ?
B. w sin (? - ?)/cos ?
C. w cos (? + ?)/cos ?
D. w sin? cos(? - ?)/sin ?
Answer : B
A. w sin (? - ?)/cos ?
B. w sin (? - ?)/cos ?
C. w cos (? + ?)/cos ?
D. w sin? cos(? - ?)/sin ?
Answer : B
2. The maximum displacement of a particle executing S.H.M. corresponds to
A. Zero potential energy and maximum kinetic energy
B. Zero kinetic energy and maximum potential energy
C. Maximum kinetic energy and maximum potential energy
D. Minimum kinetic energy and minimum potential energy
Answer : B
A. Zero potential energy and maximum kinetic energy
B. Zero kinetic energy and maximum potential energy
C. Maximum kinetic energy and maximum potential energy
D. Minimum kinetic energy and minimum potential energy
Answer : B
3. A load of 500 kg was lifted through a distance of 13 cm. by an effort of 25 kg which moved through a distance of 650 cm. The efficiency of the lifting machine is
A. 50 %
B. 40 %
C. 55 %
D. 30 %
Answer : A
A. 50 %
B. 40 %
C. 55 %
D. 30 %
Answer : A
4. The unit of Moment of Inertia of a body, is
A. m
B. m2
C. m3
D. m4
Answer : D
A. m
B. m2
C. m3
D. m4
Answer : D
5. For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is
A. ? = ?/4 - ?/2
B. ? = ?/2 + ?/2
C. ? = ?/2 - ?/2
D. ? = ?/4 - ?/2
Answer : B
A. ? = ?/4 - ?/2
B. ? = ?/2 + ?/2
C. ? = ?/2 - ?/2
D. ? = ?/4 - ?/2
Answer : B
6. An ordinate in a funicular polygon represents
A. Shear force
B. Resultant force
C. Bending moment
D. Equilibrium
Answer : C
A. Shear force
B. Resultant force
C. Bending moment
D. Equilibrium
Answer : C
7. If ? and u are the angle of projection and initial velocity of a projectile respectively, the horizontal range of the projectile, is
A. u² sin ?/g
B. u² sin² ?/g
C. u² sin ?/2g
D. u² sin² ?/2g
Answer : A
A. u² sin ?/g
B. u² sin² ?/g
C. u² sin ?/2g
D. u² sin² ?/2g
Answer : A
8. Two forces of 6 Newtons and 8 Newtons which are acting at right angles to each other, will have a resultant of
A. 5 Newtons
B. 8 Newtons
C. 10 Newtons
D. 12 Newtons
Answer : C
A. 5 Newtons
B. 8 Newtons
C. 10 Newtons
D. 12 Newtons
Answer : C
9. The force polygon representing a set of forces in equilibrium is a
A. Triangle
B. Open polygon
C. Closed polygon
D. Parallelogram
Answer : C
A. Triangle
B. Open polygon
C. Closed polygon
D. Parallelogram
Answer : C
10. Two circular discs of same weight and thickness are made from metals having different densities. Which disc will have the larger rotational inertia about its central axis?
A. Disc with larger density
B. Disc with smaller density
C. Both discs will have same rotational inertia
D. None of the above
Answer : B
A. Disc with larger density
B. Disc with smaller density
C. Both discs will have same rotational inertia
D. None of the above
Answer : B
11. A shell of mass 100 kg travelling with a velocity of 10 m/sec breaks into two equal pieces during an explosion which provides an extra kinetic energy of 20000 Joules. If the pieces continue to move in the same direction as before, then the speed of the faster one must be
A. 20 m/sec
B. 30 m/sec
C. 40 m/sec
D. 50 m/sec
Answer : B
A. 20 m/sec
B. 30 m/sec
C. 40 m/sec
D. 50 m/sec
Answer : B
12. A projectile is fired at an angle ? to the vertical. Its horizontal range will be maximum when ? is
A. 0°
B. 30°
C. 45°
D. 90°
Answer : C
A. 0°
B. 30°
C. 45°
D. 90°
Answer : C
13. A number of forces acting simultaneously on a particle of a body
A. May not be replaced by a single force
B. May be replaced by a single force
C. May be replaced by a single force through C.G. of the body
D. May be replaced by a couple
Answer : B
A. May not be replaced by a single force
B. May be replaced by a single force
C. May be replaced by a single force through C.G. of the body
D. May be replaced by a couple
Answer : B
14. The force acting on a point on the surface of a rigid body may be considered to act
A. At the centre of gravity of the body
B. On the periphery of the body
C. On any point on the line of action of the force
D. At any point on the surface normal to the line of action of the force
Answer : C
A. At the centre of gravity of the body
B. On the periphery of the body
C. On any point on the line of action of the force
D. At any point on the surface normal to the line of action of the force
Answer : C
15. To double the period of oscillation of a simple pendulum
A. The mass of its bob should be doubled
B. The mass of its bob should be quadrupled
C. Its length should be quadrupled
D. Its length should be doubled
Answer : C
A. The mass of its bob should be doubled
B. The mass of its bob should be quadrupled
C. Its length should be quadrupled
D. Its length should be doubled
Answer : C
16. If v and ? are linear and angular velocities, the centripetal acceleration of a moving body along the circular path of radius r, will be
A. r/v²
B. v²/r
C. r/?²
D. ?²/r
Answer : B
A. r/v²
B. v²/r
C. r/?²
D. ?²/r
Answer : B
17. A square hole is punched out of a circular lamina, the diagonal of the square being the radius of the circle. If r is the radius of the circle, the C.G. of the remainder from the corner of the square on the circumference will be
A. [r (? + 0.25)]/(? - 0.5)
B. [r (? - 0.5)]/(? + 0.25)
C. [r (? - 0.25)]/(? - 0.5)
D. [r (? + 0.25)]/(? + 0.5)
Answer : C
A. [r (? + 0.25)]/(? - 0.5)
B. [r (? - 0.5)]/(? + 0.25)
C. [r (? - 0.25)]/(? - 0.5)
D. [r (? + 0.25)]/(? + 0.5)
Answer : C
18. The equation of motion of a particle starting from rest along a straight line is x = t3 - 3l2 + 5. The ratio of the velocities after 5 sec and 3 sec will be
A. 2
B. 3
C. 4
D. 5
Answer : D
A. 2
B. 3
C. 4
D. 5
Answer : D
19. A system of coplanar forces is in equilibrium when
A. Force polygon closes
B. Funicular polygon closes
C. Both force polygon and funicular polygon close
D. All the forces are concurrent
Answer : C
A. Force polygon closes
B. Funicular polygon closes
C. Both force polygon and funicular polygon close
D. All the forces are concurrent
Answer : C
20. If l is the span of a light suspension bridge whos each cable carries total weight (w) and the central dip is y, the horizontal pull at each support, is
A. wl/4y
B. wl/8y
C. wl/2y
D. wl
Answer : B
A. wl/4y
B. wl/8y
C. wl/2y
D. wl
Answer : B
21. For a simple pendulum, the period of one oscillation is
A. 2? ?(l/2g)
B. 2? ?(2g/l)
C. 2? ?(l/g)
D. 2? ?(g/2l)
Answer : C
A. 2? ?(l/2g)
B. 2? ?(2g/l)
C. 2? ?(l/g)
D. 2? ?(g/2l)
Answer : C
22. The C.G. of a right circular cone lies on its axis of symmetry at a height of
A. h/2
B. h/3
C. h/4
D. h/5
Answer : C
A. h/2
B. h/3
C. h/4
D. h/5
Answer : C
23. The angle of friction is:
A. The ratio of the friction and the normal reaction
B. The force of friction when the body is in motion
C. The angle between the normal reaction and the resultant of normal reaction and limiting friction
D. The force of friction at which the body is just about to move
Answer : C
A. The ratio of the friction and the normal reaction
B. The force of friction when the body is in motion
C. The angle between the normal reaction and the resultant of normal reaction and limiting friction
D. The force of friction at which the body is just about to move
Answer : C
24. Lami's theorem states that
A. Three forces acting at a point are always in equilibrium
B. If three forces acting on a point can be represented in magnitude and direction by the sides of a triangle, the point will be in the state of equilibrium
C. Three coplanar forces acting at a point will be in equilibrium, if each force is proportional to the sine of the angle between the other two
D. Three coplanar forces acting at a point will be in equilibrium if each force is inversely proportional to the sine of the angle between the other two
Answer : C
A. Three forces acting at a point are always in equilibrium
B. If three forces acting on a point can be represented in magnitude and direction by the sides of a triangle, the point will be in the state of equilibrium
C. Three coplanar forces acting at a point will be in equilibrium, if each force is proportional to the sine of the angle between the other two
D. Three coplanar forces acting at a point will be in equilibrium if each force is inversely proportional to the sine of the angle between the other two
Answer : C
25. If two forces P and Q (P > Q) act on the same straight line but in opposite direction, their resultant, is
A. P + Q
B. P/Q
C. Q/P
D. P - Q
Answer : D
A. P + Q
B. P/Q
C. Q/P
D. P - Q
Answer : D
26. A particle moves with a velocity of 2 m/sec in a straight line with a negative acceleration of 0.1 m/sec2. Time required to traverse a distance of 1.5 m, is
A. 40 sec
B. 30 sec
C. 20 sec
D. 15 sec
Answer : C
A. 40 sec
B. 30 sec
C. 20 sec
D. 15 sec
Answer : C
27. The C.G. of the shaded area of the below figure whose curve OM is a parabola from y-axis, is 
A. a/4
B. 3a/4
C. 3b/10
D. 3a/10
Answer : B
A. a/4
B. 3a/4
C. 3b/10
D. 3a/10
Answer : B
28. Engineer's units of force, is
A. Newton in absolute units
B. Dyne in absolute units
C. Newton and dyne in absolute units
D. All the above
Answer : A
A. Newton in absolute units
B. Dyne in absolute units
C. Newton and dyne in absolute units
D. All the above
Answer : A
29. Joule is the unit of
A. Work
B. Force
C. Power
D. Torque
Answer : A
A. Work
B. Force
C. Power
D. Torque
Answer : A
30. The necessary condition of equilibrium of a body is:
A. Algebraic sum of horizontal components of all the forces must be zero
B. Algebraic sum of vertical components of all the forces must be zero
C. Algebraic sum of the moments of the forces about a point must be zero
D. All (a), (b) and (c)
Answer : D
A. Algebraic sum of horizontal components of all the forces must be zero
B. Algebraic sum of vertical components of all the forces must be zero
C. Algebraic sum of the moments of the forces about a point must be zero
D. All (a), (b) and (c)
Answer : D
31. A particle moving with a simple harmonic motion, attains its maximum velocity when it passes
A. The extreme point of the oscillation
B. Through the mean position
C. Through a point at half amplitude
D. None of these
Answer : B
A. The extreme point of the oscillation
B. Through the mean position
C. Through a point at half amplitude
D. None of these
Answer : B
32. The shape of a suspended cable under its own weight, is
A. Parabolic
B. Circular
C. Catenary
D. Elliptical
Answer : C
A. Parabolic
B. Circular
C. Catenary
D. Elliptical
Answer : C
33. The resultant of two forces acting at right angles is 5 kgf and if they act at an angle of 60°, it is 37 kgf. The magnitudes of the forces are:
A. 2 kgf, 3 kgf
B. 3 kgf, 4 kgf
C. 4 kgf, 5 kgf
D. 5 kgf, 3 kgf
Answer : B
A. 2 kgf, 3 kgf
B. 3 kgf, 4 kgf
C. 4 kgf, 5 kgf
D. 5 kgf, 3 kgf
Answer : B
34. A ball which is thrown upwards, returns to the ground describing a parabolic path during its flight
A. Vertical component of velocity remains constant
B. Horizontal component of velocity remains constant
C. Speed of the ball remains constant
D. Kinetic energy of the ball remains constant
Answer : B
A. Vertical component of velocity remains constant
B. Horizontal component of velocity remains constant
C. Speed of the ball remains constant
D. Kinetic energy of the ball remains constant
Answer : B
35. The angle of projection at which the horizontal range and maximum height of a projectile are equal to
A. 36°
B. 45°
C. 56°
D. 76°
Answer : D
A. 36°
B. 45°
C. 56°
D. 76°
Answer : D
36. A ball is dropped from a height of 2.25 m on a smooth floor and rises to a height of 1.00 m after the bounce. The coefficient of restitution between the ball and the floor is
A. 0.33
B. 0.44
C. 0.57
D. 0.67
Answer : D
A. 0.33
B. 0.44
C. 0.57
D. 0.67
Answer : D
37. On a ladder resting on a rough ground and leaning against a smooth vertical wall, the force of friction acts
A. Downwards at its upper end
B. Upwards at its upper end
C. Perpendicular to the wall at its upper end
D. Zero at its upper end
Answer : D
A. Downwards at its upper end
B. Upwards at its upper end
C. Perpendicular to the wall at its upper end
D. Zero at its upper end
Answer : D
38. The phenomenon of collision of two elastic bodies takes place because bodies
A. Immediately after collision come momentarily to rest
B. Tend to compress each other till they are compressed maximum possible
C. Attempt to regain its original shape due to their elasticities
D. All the above
Answer : D
A. Immediately after collision come momentarily to rest
B. Tend to compress each other till they are compressed maximum possible
C. Attempt to regain its original shape due to their elasticities
D. All the above
Answer : D
39. A stone is whirled in a vertical circle, the tension in the string, is maximum
A. When the string is horizontal
B. When the stone is at the highest position
C. When the stone is at the lowest position
D. At all the positions
Answer : C
A. When the string is horizontal
B. When the stone is at the highest position
C. When the stone is at the lowest position
D. At all the positions
Answer : C
40. A bullet weighing 200 g is fired orizontally with a velocity of 25 m/sec from a gun carried on a carriage which together with the gun weighs 100 kg. The velocity of recoil of the gun, will be
A. 0.01 m/sec
B. 0.05 m/sec
C. 1.00 m/sec
D. 1.5 m/see
Answer : B
A. 0.01 m/sec
B. 0.05 m/sec
C. 1.00 m/sec
D. 1.5 m/see
Answer : B
41. A sphere is resting on two planes BA and BC which are inclined at 45° and 60° respectively with the horizontal. The reaction on the plane BA will be
A. Less than that on BC
B. More than that of BC
C. Equal to that on BC
D. None of these
Answer : B
A. Less than that on BC
B. More than that of BC
C. Equal to that on BC
D. None of these
Answer : B
42. The velocity of a body fallen from height h, on reaching the ground is given by
A. v = 2gh
B. v = 2gh2
C. v = ?(2gh)
D. v = 1/?(2gh)
Answer : C
A. v = 2gh
B. v = 2gh2
C. v = ?(2gh)
D. v = 1/?(2gh)
Answer : C
43. For the system of the loads shown in below figure, the time required for the 6.6 kg load to fall on the edge, is 
A. 1 sec
B. 2 sec
C. 3 sec
D. 4 sec
Answer : C
A. 1 sec
B. 2 sec
C. 3 sec
D. 4 sec
Answer : C
44. A funicular polygon cannot be made to pass through
A. One specified point
B. Two specified points
C. Three specified points
D. More than three specified points
Answer : D
A. One specified point
B. Two specified points
C. Three specified points
D. More than three specified points
Answer : D
45. Rate of change of angular momentum is equal to
A. Force
B. Torque
C. Linear momentum
D. Impulse
Answer : B
A. Force
B. Torque
C. Linear momentum
D. Impulse
Answer : B
46. The characteristic of a couple is:
A. Algebraic sum of forces, constituting a couple is zero
B. Algebraic sum of moments of forces, constituting a couple, about any point, is same
C. A couple can be never the balanced by a single force
D. All the above
Answer : D
A. Algebraic sum of forces, constituting a couple is zero
B. Algebraic sum of moments of forces, constituting a couple, about any point, is same
C. A couple can be never the balanced by a single force
D. All the above
Answer : D
47. If two forces of 3 kg and 4 kg act at right angles to each other, their resultant force will be equal to
A. 7 kg
B. 1 kg
C. 5 kg
D. None of these
Answer : C
A. 7 kg
B. 1 kg
C. 5 kg
D. None of these
Answer : C
48. When a body slides down an inclined surface, the acceleration (f) of the body, is given by
A. f = g
B. f = g sin ?
C. f = g cos ?
D. f = g tan ?
Answer : B
A. f = g
B. f = g sin ?
C. f = g cos ?
D. f = g tan ?
Answer : B
49. M.I. of a thin ring (external diameter D, internal diameter d) about an axis perpendicular to the plane of the ring, is
A. ?/64 (D4 + d4)
B. ?/32 (D4 - d4)
C. ?/32 (D4 + d4)
D. ?/32 (D4 × d4)
Answer : B
A. ?/64 (D4 + d4)
B. ?/32 (D4 - d4)
C. ?/32 (D4 + d4)
D. ?/32 (D4 × d4)
Answer : B
50. Effect of a force on a body depends upon its
A. Direction
B. Magnitude
C. Position
D. All the above
Answer : D
A. Direction
B. Magnitude
C. Position
D. All the above
Answer : D
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