Applied Mechanics and Graphic Statics 1000+ MCQ with answer for RRB ALP

1. 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

2. 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

3. A cable loaded with 0.5 tonne per horizontal metre span is stretched between supports in the same horizontal line 400 m apart. If central dip is 20 m, the minimum tension in the cable, will be
A. 200 tonnes at the centre
B. 500 tonnes at the centre
C. 200 tonnes at the right support
D. 200 tonnes at the left support
Answer : B

4. It is observed that in a certain sinusoidal oscillation, the amplitude is linearly dependent on the frequency f. If the maximum velocity during the oscillation is V, then V must be proportional to
A. f
B. 1/f
C. 1/f²
D. f²
Answer : D

5. 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

6. If g1 and g2 are the gravitational accelerations on two mountains A and B respectively, the weight of a body when transported from A to B will be multiplied by
A. g1
B. g2
C. g1/g2
D. g2/g1
Answer : D

7. If a particle is projected inside a horizontal tunnel which is 554 cm high with a velocity of 60 m per sec, the angle of projection for maximum range, is
A. 8°
B. 9°
C. 10°
D. 11°
Answer : C

8. For a particle moving with a simple harmonic motion, the frequency is
A. Directly proportional to periodic time
B. Inversely proportional to periodic time
C. Inversely proportional to its angular velocity
D. Directly proportional to its angular velocity
Answer : B

9. If two equal forces of magnitude P act at an angle ?, their resultant, will be
A. P cos ?/2
B. 2P sin ?/2
C. P tan ?/2
D. 2P cos ?/2
Answer : D

10. Which of the following is a scalar quantity?
A. Energy
B. Momentum
C. Torque
D. Impulse
Answer : A

11. When a body moves round a fixed axis, it has
A. A rotary motion
B. A circular motion
C. A translatory
D. A rotary motion and translatory motion
Answer : B

12. 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

13. 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

14. 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

15. 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

16. The angle of projection for a range is equal to the distance through which the particle would have fallen in order to acquire a velocity equal to the velocity of projection, will be
A. 30°
B. 45°
C. 60°
D. 75°
Answer : D

17. If ? is the angular acceleration of a compound pendulum whose angular displacement is ?, the frequency of the motion is
A. 2? ?(?/?)
B. (1/2?) ?(?/?)
C. 4? ?(?/?)
D. 2? ?(? - ?)
Answer : B

18. The Law of Polygon of Forces states that
A. If a polygon representing the forces acting at point in a body is closed, the forces are in equilibrium
B. If forces acting on a point can be represented in magnitude and direction by the sides of a polygon taken in order, then the resultant of the forces will be represented in magnitude and direction by the closing side of the polygon
C. If forces acting on a point can be represented of a polygon taken in order, their sides of a polygon taken in order, their resultant will be represented in magnitude and direction by the closing side of the polygon, taken in opposite order
D. If forces acting on a point can be represented in magnitude and direction by the sides of a polygon in order, the forces are in equilibrium
Answer : C

19. The resolved part of the resultant of two forces inclined at an angle ? in a given direction is
A. Algebraic sum of the resolved parts of the forces in the direction
B. Arithmetical sum of the resolved parts of the forces in the direction
C. Difference ofthe forces multiplied by cosine ?°
D. Sum of the forces multiplied by the tangent ?°
Answer : A

20. 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

21. 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

22. The angular speed of a car while taking a circular turn of radius 100 m at 36 km/hour, is
A. 0.1 radian/sec
B. 1 radian/sec
C. 100 radian/sec
D. 1000 radian/sec
Answer : A

23. M.I. of solid sphere, is
A. ? Mr²
B. ½ Mr²
C. Mr²
D. ?r⁴/2
Answer : C

24. 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

25. 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

26. The velocity of a moving body, is
A. A vector quantity
B. A scalar quantity
C. A scalar as well as a vector quantity
D. None of these
Answer : A

27. The bending moment in an arch is proportional to
A. Vertical ordinate of funicular polygon
B. Vertical ordinate of the arch
C. Intercept between the arch axis and the funicular polygon
D. None of these
Answer : C

28. A force P of 50 N and another force Q of unknown magnitude act at 90° to each other. They are balanced by a force of 130 N. The magnitude of Q is
A. 60 N
B. 80 N
C. 100 N
D. 120 N
Answer : D

29. A flywheel of moment of inertia 20 kgm is acted upon by a tangential force of 5 N at 2 m from its axis, for 3 seconds. The increase in angular velocity in radian per second is
A. 1/2
B. 3/2
C. 2
D. 3
Answer : B

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. 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

32. The beam shown in below figure is supported by a hinge at A and a roller at B. The reaction RA of the hinged support A of the beam, is
A. 10.8 t
B. 10.6 t
C. 10.4 t
D. 10.2 t
Answer : D

33. The motion of a bicycle wheel is
A. Translatory
B. Rotary
C. Rotary and translatory
D. Curvilinear
Answer : C

34. A body is said to move with Simple Harmonic Motion if its acceleration, is
A. Always directed away from the centre, the point of reference
B. Proportional to the square of the distance from the point of reference
C. Proportional to the distance from the point of reference and directed towards it
D. Inversely proportion to the distance from the point of reference
Answer : C

35. The velocity of a moving body, is
A. A vector quantity
B. A scalar quantity
C. A constant quantity
D. None of these
Answer : A

36. 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

37. 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

38. 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

39. 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