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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
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 ?

45°
75°
30°
15°

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Applied Mechanics and Graphic Statics
The units of moment of inertia of an area are

kg/m
m3
kg/m2
m4

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Applied Mechanics and Graphic Statics
The moment of inertia of a circular lamina of diameter ‘d’, about an axis perpendicular to the plane of the lamina and passing through its centre, is

πd⁴/16
πd⁴/24
π/64 (D⁴ + d⁴)
πd⁴/32

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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

2/3
1/5
1/3
3/5

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Applied Mechanics and Graphic Statics
A rigid body is in a stable equilibrium if the application of any force

Tends to lower the CG of the body
Neither raises nor lowers the CG of the body
None of above
Can raise the CG of the body but cannot lower it

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Applied Mechanics and Graphic Statics
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

T = g(M2 + M1)/(M2 - M1)
T = g(M1 - M2)/(M1 + M2)
T = g(M1 + M2)/(M1 × M2)
T = g(M2 - M1)/(M1 + M2)

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