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SSC Scientific Assistant - Applied Mechanics and Graphic Statics 1000+ MCQ [Solved] PDF Download

Thursday 9th of March 2023

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Downlaod Applied Mechanics and Graphic Statics MCQ PDF
1. The following is in unstable equilibrium
A. A uniform solid cone resting on a generator on a smooth horizontal plane
B. A uniform solid cone resting on its base on a horizontal plane
C. A solid cube resting on one edge
D. A satellite encircling the earth
Answer : C
2. Joule is the unit of
A. Power
B. Impulse
C. Work
D. Momentum
Answer : C
3. A ball of mass 1 kg moving with a velocity of 2 m/sec collides a stationary ball of mass 2 kg and comes to rest after impact. The velocity of the second ball after impact will be
A. Zero
B. 0.5 m/sec
C. 1.0 m/sec
D. 2.0 m/sec
Answer : C
4. When a body of mass M1 is hanging freely and another of mass M2 lying on a smooth inclined plane(?) are connected by a light index tensile string passing over a smooth pulley, the acceleration of the body of mass M1, will be given by
A. g(M1 + M2 sin ?)/(M1 + M2) m/sec
B. g(M1 - M2 sin ?)/(M1 + M2) m/sec²
C. g(M2 + M1 sin ?)/(M1 + M2) m/sec²
D. g(M2 × M1 sin ?)/(M2 - M1) m/sec²
Answer : B
5. If a spherical body is symmetrical about its perpendicular axes, the moment of inertia of the body about an axis passing through its centre of gravity as given by Routh's rule is obtained by dividing the product of the mass and the sum of the squares of two semi-axes by n. Where, n is
A. 2
B. 3
C. 4
D. 5
Answer : D
6. The gravitational force makes a satellite go round the earth in a circular orbit, if it is projected with an initial velocity of
A. 8.04 km/sec at a height of 285 km
B. 11.11 km/sec at a height of 37,400 km
C. 11.26 km/sec, the satellite escapes the pull of the earth
D. All the above
Answer : D
7. Ball A of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/s hits an identical stationary ball B on the table. If the impact is perfectly elastic, the velocity of the ball B just after impact would be
A. Zero
B. 5 m/sec
C. 10 m/sec
D. None of these
Answer : C
8. When a body falls freely under gravitational force, it possesses
A. Maximum weight
B. Minimum weight
C. No weight
D. No effect on its weight
Answer : C
9. If ? and u are angle of projection and initial velocity of a projectile respectively, the total time of flight, is given by
A. T = u sin 2?/g
B. T = u sin²?/g
C. T = u sin²?/2g
D. T = 2u sin?/g
Answer : D
10. The load shared by the member BC of the structure shown in below figure is
A. 23 t
B. 32 t
C. 4 t
D. 3 t
Answer : C
11. The condition of equilibrium for any system of forces in a plane is
A. That polygon of forces must close
B. That resultant couple must be zero
C. Both (A) and (B)
D. None of the above
Answer : C
12. A hoop of radius 3 m weighs 100 kg. It rolls along a horizontal floor so that at its centre of mass has a speed of 200 mm/sec. The work required to stop the hoop is
A. 2 J
B. 4 J
C. 6 J
D. 8 J
Answer : B
13. A disc of mass 4 kg, radius 0.5 m and moment of inertia 3 kgm² rolls on a horizontal surface so that its center moves with speed 5 m/see. Kinetic energy of the disc is
A. 50 J
B. 150 J
C. 200 J
D. 400 J
Answer : C
14. 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
15. A weight W is suspended at the free end of a light member hinged to a vertical wall. If the angle of inclination of the member with the upper wall is ?°, the force introduced in the member, is
A. W sec ?
B. W cos ?
C. W sin ?
D. W cosec ?
Answer : A
16. Effect of a force on a body depends upon its
A. Direction
B. Magnitude
C. Position
D. All the above
Answer : D
17. A vehicle weighing w kg is to run on a circular curve of radius r. If the height of its centre of gravity above the road level is h and the distance between the centres of wheels is 2a, the maximum velocity, in order to avoid over turning, will be
A. gra/h
B. ?(gra/h)
C. 3?(gra/h)
D. 4?(gra/h)
Answer : B
18. Angular acceleration of a particle may be expressed as
A. Radians/sec2
B. Degrees/sec2
C. Revolutions/sec
D. All the above
Answer : D
19. A uniform pyramid and a uniform prism of same height lie with their base on the surface. Which is more stable?
A. Pyramid
B. Prism
C. Both equally stable
D. None of the above
Answer : /strong> A
20. Two particles have been projected at angles 64° and 45° to the horizontal. If the velocity of projection of first is 10 m/sec, the velocity of projection of the other for equal horizontal ranges is
A. 9.3 m/sec
B. 8.3 m/sec
C. 7.3 m/sec
D. 6.3 m/sec
Answer : A
21. At a given instant ship A is travelling at 6 km/h due east and ship B is travelling at 8 km/h due north. The velocity of B relative to A is
A. 7 km/hrs
B. 2 km/hrs
C. 1 km/hrs
D. 10 km/hrs
Answer : D
22. One Newton is equivalent to
A. 1 kg. wt
B. 9.81 kg. wt
C. 981 dyne
D. 1/9.81 kg. wt
Answer : D
23. A circular disc rotates at n rpm. The angular velocity of a circular ring of same mass and radius as the disc and to have the same angular momentum is
A. n rpm
B. n/2 rpm
C. n/4 rpm
D. 2n rpm
Answer : B
24. The practical units of work, is
A. Erg
B. Joule
C. Newton
D. Dyne
Answer : B
25. A particle of mass 2 kg executes simple harmonic motion of frequency 6/71 Hz and amplitude 0.25 m. Its maximum kinetic energy is
A. 4.5 J
B. 9.0 J
C. 12.0 J
D. 18.0 J
Answer : B
26. The displacement of a particle which moves along a straight line is given by S = 4t3 + 3t2- 10 where S is in meters and t is in seconds. The time taken by the particle to acquire a velocity of 18 m/sec from rest, is
A. ½ sec
B. 1 sec
C. 1.2 sec
D. 1.5 sec
Answer : B
27. If a ball which is dropped from a height of 2.25 m on a smooth floor attains the height of bounce equal to 1.00 m, the coefficient of the restitution between the ball and floor, is
A. 0.25
B. 0.50
C. 0.67
D. 0.33
Answer : B
28. A shell travelling with a horizontal velocity of 100 m/sec explodes and splits into two parts, one of mass 10 kg and the other of 15 kg. The 15 kg mass drops vertically downward with initial velocity of 100 m/sec and the 10 kg mass begins to travel at an angle to the horizontal of tan1 x, where x is
A. 3/4
B. 4/5
C. 5/3
D. 3/5
Answer : D
29. 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
30. Two shots fired simultaneously from the top and bottom of a vertical tower with elevations of 30° and 45° respectively strike a target simultaneously. If horizontal distance of the target from the tower is 1000 m, the height of the tower is
A. 350 m
B. 375 m
C. 400 m
D. 425 m
Answer : D
31. The shape of a suspended cable under its own weight, is
A. Parabolic
B. Circular
C. Catenary
D. Elliptical
Answer : C
32. Principle of Transmissibility of Forces states that, when a force acts upon a body, its effect is
A. Maximum if it acts at the centre of gravity of the body
B. Different at different points on its line of
C. Same at every point on its line of action
D. Minimum if it acts at the C.G. of the body
Answer : C
33. A 49 kg lady stands on a spring scale in an elevator. During the first 5 sec, starting from rest, the scale reads 69 kg. The velocity of the elevator will be
A. 10 m/sec
B. 15 m/sec
C. 20 m/sec
D. 25 m/sec
Answer : C
34. 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
35. If the direction of projection bisects the angle between the vertical and the inclined plane, then the range of projectile on the inclined plane is
A. Zero
B. Maximum
C. Minimum
D. None of these
Answer : B
36. 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
37. The tension in a cable supporting a lift
A. Is more when the lift is moving downwards
B. Is less when the lift is moving upwards
C. Remains constant whether its moves downwards or upwards
D. Is less when the lift is moving downwards
Answer : D
38. On a mass m describing a circular path of radius r, the centrifugal force
A. Acts tangentially to the circular path
B. Acts towards the centre of rotation
C. Acts away from the centre of rotation
D. Is mw2r/g kgf
Answer : B
39. Periodic time of body moving with simple harmonic motion, is
A. Directly proportional to its angular velocity
B. Directly proportional to the square of its angular velocity
C. Inversely proportional to the square of its angular velocity
D. Inversely proportional to its angular velocity
Answer : D
40. The centre of gravity of a plane lamina will not be at its geometrical centre if it is a
A. Circle
B. Equilatral triangle
C. Rectangle
D. Right angled triangle
Answer : D
41. The angles between two forces to make their resultant a minimum and a maximum respectively are
A. 0° and 90°
B. 180° and 90°
C. 90° and 180°
D. 180° and 0°
Answer : D
42. The motion of a particle moving with S.H.M. from an extremity to the other, constitutes
A. Half an oscillation
B. One full oscillation
C. Two oscillations
D. None of these
Answer : A
43. Pick up the correct statement from the following for the structure shown in below figure.
A. The horizontal reaction at A is 2 ?3t ?
B. The horizontal reaction at C is 2 ?3t ?
C. The vertical reaction at A is zero
D. All the above
Answer : D
44. A stone is thrown vertically upwards with a vertical velocity of 49 m/sec. It returns to the ground in
A. 5 sec
B. 8 sec
C. 10 sec
D. 20 sec
Answer : C
45. 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
46. 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
47. The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to
A. log r
B. r
C. r²
D. 1/r Where r is the distance of the particle from centre of the earth
Answer : C
48. The resultant of two forces P and Q is R. If Q is doubled, the new resultant is perpendicular to P. Then,
A. P = R
B. Q = R
C. P = Q
D. None of the above is correct
Answer : B
49. The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is
A. 64 J
B. 400 J
C. 464 J
D. 89 J
Answer : C
50. A 50 kg boy climbs up a 8 m rope in gymnasium in 10 sec. The average power developed by the boy is approximately
A. 400 watts
B. 500 watts
C. 4000 watts
D. None of these
Answer : A
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