Home

1000+ Applied Mechanics and Graphic Statics MCQ for CLAT PG [Solved]

Thursday 9th of March 2023

Sharing is caring

1. The locus of the instantaneous centre of a moving rigid body, is
A. Straight line
B. Involute
C. Centroid
D. Spiral
Answer : C
2. The units of inertia of mass are
A. kg/m
B. kg/m2
C. m4
D. kg-m2
Answer : D
3. One end of a light string 4 m in length is fixed to a point on a smooth wall and the other end fastened to a point on the surface of a smooth sphere of diameter 2.25 m and of weight 100 kg. The tension in the string is
A. 17.5 kg
B. 19.5 kg
C. 22.5 kg
D. 25 kg
Answer : C
4. A satellite goes on moving along its orbit round the earth due to
A. Gravitational force
B. Centrifugal force
C. Centripetal force
D. None of these
Answer : B
5. The mechanical advantage of an ideal machine is 100. For moving the local through 2 m, the effort moves through
A. 0.02 m
B. 2 m
C. 2.5 m
D. 20 m
Answer : A
6. A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection?
A. 15°
B. 30°
C. 45°
D. 75°
Answer : A
7. For a body moving with simple harmonic motion, the number of cycles per second, is known as its
A. Oscillation
B. Amplitude
C. Periodic time
D. Frequency
Answer : D
8. If the resultant of two forces P and Q acting at an angle ? makes an angle ? with P, then tan ? equals
A. P sin ?/P - Q cos ?
B. Q sin ?/P + Q cos ?
C. P sin ?/P + Q tan ?
D. Q sin ?/P + Q sin ?
Answer : B
9. For a given velocity of a projectile, the range is maximum when the angle of projection is
A. 30°
B. 45°
C. 90°
D.
Answer : B
10. The unit of Moment of Inertia of a body, is
A. m
B. m2
C. m3
D. m4
Answer : D
11. 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
12. For a non-concurrent force system to be in equilibrium
A. Only the closure of force polygon is sufficient
B. Only the closure of funicular polygon is sufficient
C. Both force polygon and funicular polygon must close
D. None of the above
Answer : C
13. The frequency of oscillation on moon as compared to that on earth, will be
A. 2.44 times more
B. 2.44 times less
C. 3 times less
D. 3 times more
Answer : B
14. If a particle moves with a uniform angular velocity ? radians/sec along the circumference of a circle of radius r, the equation for the velocity of the particle, is
A. v = ? ?(y² - r²)
B. y = ? ?(y - r)
C. v = ? ?(r² + y²)
D. v = ? ?(r² - y²)
Answer : D
15. A marble ball is rolled on a smooth floor of a room to hit a wall. If the time taken by the ball in returning to the point of projection is twice the time taken in reaching the wall, the coefficient of restitution between the ball and the wall, is
A. 0.25
B. 0.50
C. 0.75
D. 1.0
Answer : B
16. The graphical method of determining the forces in the members of a truss is based on
A. Method of joint
B. Method of section
C. Either method
D. None of the two methods
Answer : A
17. The apparent weight of a man in a moving lift is less than his real weight when it is going down with
A. Uniform speed
B. An acceleration
C. Linear momentum
D. Retardation
Answer : B
18. Time required to stop a car moving with a velocity 20 m/sec within a distance of 40 m, is
A. 2 sec
B. 3 sec
C. 4 sec
D. 5 sec
Answer : C
19. Total no of instantaneous centres of a machine having n links, is
A. n/2
B. n
C. (n - 1)
D. n (n - 1)/2
Answer : D
20. If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60° to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are
A. 0 and 5 m/sec
B. 5 m/sec and 0
C. 5?3 m/sec and 0
D. 5 and 5?3 m/sec
Answer : B
21. A sphere and a cylinder having the same mass and radii start from rest and roll down the same inclined plane. Which body gets to the bottom first?
A. Sphere with greater rotational energy at bottom than cylinder
B. Sphere with lesser rotational energy at bottom than cylinder
C. Cylinder with greater rotational energy at bottom than sphere
D. Both reach the bottom simultaneously with equal rotational energy at bottom
Answer : B
22. A ball is dropped from a height of 16 m on a horizontal floor. If it rebounds to a height of 9 m after striking the floor, the coefficient of restitution between ball and floor is
A. 1/4
B. 2/3
C. 3/4
D. 4/3
Answer : C
23. An ordinate in a funicular polygon represents
A. Shear force
B. Resultant force
C. Bending moment
D. Equilibrium
Answer : C
24. 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
25. 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
26. The moment of inertia of a hollow circular section whose external diameter is 8 cm and internal diameter is 6 cm, about centroidal axis, is
A. 437.5 cm4
B. 337.5 cm4
C. 237.5 cm4
D. 137.5 cm4
Answer : D
27. According to Law of Triangle of Forces
A. Three forces acting at a point, can be rep-resented by the sides of a triangle, each side being in proportion to the force
B. Three forces acting along the sides of a triangle are always in equilibrium
C. If three forces acting on a, point can be represented in magnitude and direction, by the sides of a triangle taken in order, these will be in equilibrium
D. If the forces acting on a particle be represented in magnitude and direction by the two sides of a triangle taken in order, their resultant will be represented in magnitude and direction by the third side of the triangle, taken in opposite order
Answer : D
28. The angle which an inclined surface makes with the horizontal when a body placed on it is on the point of moving down, is called
A. Angle of repose
B. Angle of friction
C. Angle of inclination
D. None of these
Answer : A
29. 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
30. The member which does not carry zero force in the structure shown in below figure, is

A. ED
B. DC
C. BC
D. BD
Answer : D
31. Minimum pull in a suspended cable with supports at two ends is equal to
A. Horizontal thrust
B. Support reactions
C. Resultant of horizontal thrust and support reaction
D. Half the weight of the cable
Answer : A
32. 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
33. When a circular wheel rolls on a straight track, then the shape of body centrode and space centrode respectively are
A. Straight line and parabola
B. Straight line and circle
C. Circle and straight line
D. Circle and parabola
Answer : C
34. The centre of gravity of a quadrant of a circle lies along its central radius at a distance of
A. 0.2 R
B. 0.4 R
C. 0.3 R
D. 0.6 R
Answer : D
35. A particle is dropped from a height of 3 m on a horizontal floor, which has a coefficient of restitution with the ball of 1/2. The height to which the ball will rebound after striking the floor is
A. 0.5 m
B. 0.75 m
C. 1.0 m
D. 1.5 m
Answer : B
36. To attain the synchronous orbit, the launch of a satellite, is done from a place
A. On equator
B. On 30° latitude
C. On 45° latitude
D. On the poles
Answer : A
37. A Seconds pendulum executes
A. 0.5 beat per second
B. 1.0 beat per second
C. 2.0 beats per second
D. 2.5 beats per second
Answer : C
38. A particle is dropped from the top of a tower 60 m high and another is projected upwards from the foot of the tower to meet the first particle at a height of 15.9 m. The velocity of projection of the second particle is
A. 16 m/sec
B. 18 m/sec
C. 20 m/sec
D. 22 m/sec
Answer : C
39. A Second's pendulum gains 2 minutes a day. To make it to keep correct time its length
A. Must be decreased
B. Must be increased
C. Is not changed but weight of the bob is increased
D. Is not changed but weight of the bob is decreased
Answer : B
40. 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
41. Energy may be defined as
A. Power of doing work
B. Capacity of doing work
C. Rate of doing work
D. All the above
Answer : B
42. The units of moment of inertia of an area are
A. kg/m
B. kg/m2
C. m4
D. m3
Answer : C
43. The following factor affects the orbit of a satellite up to an altitude of 720 km from the earth's surface
A. Uneven distribution of the gravitational field
B. Gravity of the sun and the moon
C. Aerodynamic forces
D. None of these
Answer : D
44. If two forces each equal to T in magnitude act at right angles, their effect may be neutralised by a third force acting along their bisector in opposite direction whose magnitude will be
A. 2 T
B. 1/2 T
C. ?2 T
D. 3 T
Answer : C
45. Which one of the following laws is not applicable to a simple pendulum?
A. The time period does not depend on its magnitude
B. The time period is proportional to its length l
C. The time period is proportional to l, where l is length
D. The time period is inversely proportional to g, where g is the acceleration due to gravity
Answer : B
46. 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
47. The time period of a simple pendulum depends on (i) Mass of suspended particle (ii) Length of the pendulum (iii) Acceleration due to gravity The correct answer is
A. Only (i)
B. Both (ii) and (iii)
C. Both (i) and (iii)
D. All are correct
Answer : B
48. Three forces which act on a rigid body to keep it in equilibrium. The forces must be coplanar and
A. Concurrent
B. Parallel
C. Concurrent parallel
D. None of these
Answer : A
49. A rigid body is in a stable equilibrium if the application of any force
A. Can raise the CG of the body but cannot lower it
B. Tends to lower the CG of the body
C. Neither raises nor lowers the CG of the body
D. None of above
Answer : A
50. Force polygon method is applicable for
A. Any coplanar force system
B. A system of parallel forces only
C. Concurrent coplanar force system
D. Non-concurrent coplanar force system
Answer : C

Sharing is caring