applied mechanics and graphic statics MCQs – Page 3

Practise focused applied mechanics and graphic statics questions with marked answers for exam preparation and subject revision.

applied mechanics and graphic statics Mcqs
41. A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of center of mass of rolling cylinder is________________?
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A. g sin 9

B. (2/3) g cos 9

C. (1/3) g sinB

D. (2/3) g sin 0
42. A ladder of weight w rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight w is to walk to the top of it safely, is tan1 x, where x is___________________?
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A. 4

B. 1/3

C. 4-Jan

D. 3

43. The shape of a suspended cable for a uniformly distributed load over it is__________________?
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A. catenary

B. parabolic

C. cubic parabola

D. circular

44. The maximum displacement of a particle executing S.H.M. corresponds to__________________?
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A. zero kinetic energy and maximum potential energy

B. minimum kinetic energy and minimum potential energy

C. maximum kinetic energy and maxi-mum potential energy

D. zero potential energy and maximum kinetic energy

45. Two balls of masses 3 kg and 6 kg are moving with velocities of 4 m/sec and 1 m/sec respectively, towards each other along the line of their centers. After impact the 3 kg ball comes to rest. This can happen only if the coefficient of restitution between the balls is____________________?
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A. 3-Feb

B. 5-Mar

C. 3-Jan

D. 1/5
46. The member forces in a statically in determinate truss____________________?
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A. may be obtained by graphic statics

B. cannot be obtained by graphic statics

C. can be obtained by graphic statics by trial and error

D. can be obtained by graphic statics

47. Williot-Mohr diagram is used to determine deflection in__________________?
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A. trusses only

B. rigid frames only

C. any type of structure

D. beam only

48. Time period and length of a seconds pendulum respectively are_________________?
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A. 1 sec and 92.7 cm

B. 2 sec and 99.4 cm

C. 1 sec and 99.4 cm

D. 2 sec and 92.7 cm

49. A quantity whose dimensions are M2L2 T3 could be the product of_________________?
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A. energy and velocity

B. mass and power

C. force and pressure

D. force and velocity

50. A system of copianar forces acting on a rigid body can be reduced to________________?
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A. none of the above

B. one force and one couple only

C. one couple only

D. one force only

51. 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 ?
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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

52. If the given forces P,, P2, P3 and P4 are such that the force polygon does not close, then the system will___________________?
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A. be in equilibrium

B. always reduce to a resultant force

C. always reduce to a couple

D. both (A) and (C)

53. 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)_____________________?
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A. 2-Jan

B. 8-Mar

C. 5/8

D. 5-Sep

54. The graphical method of determining the forces in the members of a truss is based on________________?
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A. method of section

B. none of the two methods

C. either method

D. method of joint
55. An ordinate in a funicular polygon represents__________________?
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A. shear force

B. equilibrium

C. bending moment

D. resultant force

56. The bending moment in an arch is proportional to___________________?
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A. none of these

B. intercept between the arch axis and the funicular polygon

C. vertical ordinate of funicular polygon

D. vertical ordinate of the arch

57. 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____________________?
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A. 40 m/sec

B. 20 m/sec

C. 50 m/sec

D. 30 m/sec
58. If the resultant of two forces has the same magnitude as either of the force, then the angle between the two forces is____________________?
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A. 30

B. 120

C. 60

D. 45

59. If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, then___________________?
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A. a force is required to move the body upwards

B. correct answer is?

C. a force is required to move the body downward

D. the body will not be in equilibrium</strong>

60. 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_____________________?
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A. 3-Apr

B. 3/4

C. 4-Jan

D. 3-Feb