Most recent Applied Mechanics and Graphic Statics multiple choice questions and answers

41. 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)    unpredictable
Ans: b

42. 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 V3 m/sec and 0
d)    5 and 5V3 m/sec
Ans: b

43. The angle of projection at which the horizontal range and maximum height of a projectile are equal to
a)    45°
b)    tan-1 (2)
c)    tan-' (4)
d)    tan"1 (1/4)
Ans: c

44.    A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection ?
a)    15°
b)    30°
c)    45°
d)    75°
Ans: a

45.    In a simple harmonic motion, the position of equilibrium is always
a)    stable
b)    unstable
c)    neutral
d)    none of the above
Ans: a

46.    If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is
a)    proportional to A
b)    proportional to A2
c)    proportional to 1/A2
d)    independent of A
Ans: b

47.    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
Ans: b

48.    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
Ans: b

49.    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
Ans: b

50.    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
Ans: d

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