71. A system of copianar forces acting on a rigid body can be reduced to________________? A. one force only B. one couple only C. one force and one couple only D. none of the above ✅ The correct answer is option C.
72. The maximum displacement of a particle executing S.H.M. corresponds to__________________? A. zero potential energy and maximum kinetic energy B. zero kinetic energy and maximum potential energy C. maximum kinetic energy and maxi-mum potential energy D. minimum kinetic energy and minimum potential energy ✅ The correct answer is option B.
73. The maximum value of the horizontal range for a projectile projected with a velocity of 98 m/sec is__________________? A. 98 m B. 490 m C. 980 m D. 1960 m ✅ The correct answer is option C.
74. A particle moves in a straight line and its position is defined by the equation x = 6 t2 – t3 where t is expressed in seconds and x in meters. The maximum velocity during the motion is_________________? A. 6 m/sec B. 12 m/sec C. 24 m/sec D. 48 m/sec ✅ The correct answer is option B.
75. A particle is executing simple harmonic motion in a line 1.0 m long. If the time of one complete vibration is 1 sec, then the maximum velocity of the particle is___________________? A. 1.00 m/sec B. 1.57 m/sec C. 3.14 m/sec D. 6.28 m/sec ✅ The correct answer is option C.
76. 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____________________? A. 2/3 B. 1/5 C. 3/5 D. 1/3 ✅ The correct answer is option B.
77. The diagram showing the point of application and line of action of forces in their plane is called____________________? A. vector diagram B. space diagram C. force diagram D. funicular diagram ✅ The correct answer is option B.
78. 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 ✅ The correct answer is option C.
79. The shape of a suspended cable for a uniformly distributed load over it is__________________? A. circular B. parabolic C. catenary D. cubic parabola ✅ The correct answer is option B.
80. 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 ✅ The correct answer is option B.