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1000+ Applied Mechanics and Graphic Statics Multiple Choice Question Answer [Solved]

Thursday 9th of March 2023

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1. Kinetic friction may be defined as
A. Friction force acting when the body is just about to move
B. Friction force acting when the body is in motion
C. Angle between normal reaction and resultant of normal reaction and limiting friction
D. Ratio of limiting friction and normal reaction
Answer : B
2. 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
3. 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
4. The centre of gravity of a homogenous body is the point at which the whole
A. Volume of the body is assumed to be concentrated
B. Area of the surface of the body is assumed to be concentrated
C. Weight of the body is assumed to be concentrated
D. All the above
Answer : C
5. 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
6. A car goes round a curve of radius 100 m at 25 m/sec. The angle to the horizontal at which the road must be banked to prevent sideways friction on the car wheels is tan1 x, where x is (Assume g = 10 m/sec²)
A. 3/8
B. 1/2
C. 9/5
D. 5/8
Answer : D
7. A bullet weighing 10 gm moves with a velocity of l km/sec. Its kinetic energy is (i) 5000 Nm (ii) 5000 kg.m (iii) 5000 J The correct answer is
A. Only (ii)
B. Both (i) and (iii)
C. Both (ii) and (iii)
D. All (i), (ii) and (iii)
Answer : B
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. 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
10. 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
11. At the instantaneous center, the velocity of the moving lamina at any instant is
A. Zero
B. Maximum
C. Minimum
D. Varying
Answer : A
12. 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
13. The centre of gravity of a triangle is at the point where three
A. Medians of the triangle meet
B. Perpendicular bisectors of the sides of the triangle meet
C. Bisectors of the angle of the triangle meet
D. None of these
Answer : A
14. According to Kennedy's theorem, if three bodies have plane motions, their instantaneous centres lie on
A. A point
B. A straight line
C. Two straight lines
D. A triangle
Answer : B
15. Free body diagram is an
A. Isolated joint with only body forces acting on it
B. Isolated joint with internal forces acting on it
C. Isolated joint with all the forces, internal as well as external, acting on it
D. None of the above
Answer : C
16. 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
17. If the angle between the applied force and the direction of motion of a body, is between 90° and 180°, the work done, is called
A. Virtual work
B. Imaginary work
C. Zero work
D. Negative work
Answer : D
18. 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
19. 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
20. P is the force acting on a body whose mass is m and acceleration is f. The equation P - mf= 0, is known as
A. Equation of dynamics
B. Equation of dynamic equilibrium
C. Equation of statics
D. None of these
Answer : A
21. 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
22. A heavy ladder resting on floor and against a vertical wall may not be in equilibrium if
A. Floor is smooth and wall is rough
B. Floor is rough and wall is smooth
C. Both floor and wall are rough
D. Both floor and wall are smooth
Answer : D
23. 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
24. 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
25. The pole distance is measured in
A. Distance scale
B. Force scale
C. Mass scale
D. Time scale
Answer : B
26. One Newton is equivalent to
A. 105 dyne
B. 106 dyne
C. 107 dyne
D. 108 dyne
Answer : A
27. The condition for a lifting machine to be reversible is that its efficiency should be
A. Less than 50%
B. More than 50%
C. More than 66.67%
D. Equal to 100%
Answer : B
28. A stone was thrown vertically upwards from the ground with a velocity of 50 m/sec. After 5 seconds another stone was thrown vertically upwards from the same place. If both the stones strike the ground at the same time, then the velocity with which the second stone was thrown should be (Assume g = 10 m/sec²)
A. 15 m/sec
B. 25 m/sec
C. 40 m/sec
D. 50 m/sec
Answer : B
29. 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
30. The velocity ratio of an inclined plane of inclination ? with horizontal for lifting a load is
A. sin ?
B. cos ?
C. tan ?
D. cosec ?
Answer : D
31. 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
32. Two loads of 50 kg and 75 kg are hung at the ends of a rope passing over a smooth pulley shown in below figure. The tension in the string is:
A. 50 kg
B. 75 kg
C. 25 kg
D. 60 kg
Answer : D
33. Power can be expressed as
A. Work/energy
B. Work/time
C. Work × time
D. Work/distance
Answer : B
34. If two forces are in equilibrium, then the forces must (i) Be equal in magnitude (ii) Be opposite in sense (iii) Act along the same line The correct answer is
A. (i) and (ii)
B. (i) and (iii)
C. Only (i)
D. All (i), (ii) and (iii)
Answer : D
35. The ends of a string weighing w/metre are attached to two points at the same horizontal level. If the central dip is very small, the horizontal tension of the string throughout is
A. wl/4d
B. wl²/4d
C. wl²/8d
D. wl²/16d
Answer : C
36. Joule is the unit of
A. Power
B. Impulse
C. Work
D. Momentum
Answer : C
37. If two bodies of masses M1 and M2(M1 > M2) are connected by alight inextensible string passing over a smooth pulley, the tension in the string, will be given by
A. T = g(M1 - M2)/(M1 + M2)
B. T = g(M1 + M2)/(M1 × M2)
C. T = g(M2 - M1)/(M1 + M2)
D. T = g(M2 + M1)/(M2 - M1)
Answer : A
38. The acceleration of a particle moving along the circumference of a circle with a uniform speed, is directed
A. Radially
B. Tangentially at that point
C. Away from the centre
D. Towards the centre
Answer : B
39. 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
40. 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
41. If the veloity of projection is 4 m/sec and the angle of projection is ?°, the maximum height of the projectile from a horizontal plane, is
A. u² cos² ?/2g
B. u² sin² ?/2g
C. u² tan² ?/2g
D. u² sin 2?/2g
Answer : B
42. 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
43. A block of weight 50 kg is placed on a horizontal plane. When a horizontal force of 18 kg is applied, the block is just on the point of motion. The angle of friction is
A. 17° 48'
B. 18° 48'
C. 19° 48'
D. 20° 48'
Answer : C
44. 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
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. Pick up the correct statement from the following:
A. Nature plays an important role in the launch of a satellite
B. The earth's gravity reduces the speed of a satellite by 32 km per second
C. The gravitational force relents as the satellite climbs higher
D. All the above
Answer : D
47. ? rad/sec is the angular velocity of a crank whose radius is r. If it makes ?° with inner dead centre and obliquity of the connecting rod l is ?, the velocity v of the piston, is given by the equation
A. ?2 (l cos ? + r sin ? tan ?)
B. ?2 (l sin ? + r cos ? tan ?)
C. ? (l sin ? + r cos ? tan ?)
D. ?2 (l sin ? - r cos ? tan ?)
Answer : C
48. In case of S.H.M. the period of oscillation (T), is given by
A. T = 2?/?²
B. T = 2?/?
C. T = 2/?
D. T = ?/2?
Answer : B
49. Two forces act an angle of 120°. If the greater force is 50 kg and their resultant is perpendicular to the smaller force, the smaller force is
A. 20 kg
B. 25 kg
C. 30 kg
D. 35 kg
Answer : B
50. 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
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