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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The equation of motion of a particle starting from rest along a straight line is x = t³ - 3t²+ 5. The ratio of the accelerations after 5 sec and 3 sec will be

3
2
4
5

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Applied Mechanics and Graphic Statics
The maximum velocity of a body vibrating with a simple harmonic motion of amplitude 150 mm and frequency 2 vibrations/sec, is

1.885 m/sec
18.85 m/sec
188.5 m/sec
0.18845 m/sec

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Applied Mechanics and Graphic Statics
In a lifting machine a weight of 5 kN is lifted through 200 mm by an effort of 0.1 kN moving through 15 m. The mechanical advantage and velocity ratio of the machine are respectively

75 and 75
50 and 50
75 and 50
50 and 75

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Applied Mechanics and Graphic Statics
In case of S.H.M. the period of oscillation (T), is given by

T = 2π/ω
T = 2ω/π²
T = 2/ω
T = π/2ω

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Applied Mechanics and Graphic Statics
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

43864
43835
43895
43833

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Applied Mechanics and Graphic Statics
The displacement of a particle which moves along a straight line is given by S = 4t³ + 3t²- 10 where ‘S’ is in meters and t is in seconds. The time taken by the particle to acquire a velocity of 18 m/sec from rest, is

1 sec
1.2 sec
½ sec
1.5 sec

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