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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to (where r is the distance of’the particle from centre of the earth)

log r
r2
r
1/r

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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
43895
43835
43833

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Applied Mechanics and Graphic Statics
Time period and length of a second’s pendulum respectively are

1 sec and 99.4 cm
1 sec and 92.7 cm
2 sec and 99.4 cm
2 sec and 92.7 cm

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Applied Mechanics and Graphic Statics
In a simple harmonic motion, the position of equilibrium is always

Stable
None of these
Neutral
Unstable

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Applied Mechanics and Graphic Statics
If two forces acting at a point are in equilibrium, they must be equal in magnitude and their line of action must be along

None of these
The same line in opposite sense
The same line in the same sense
The perpendicular to both the lines

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Applied Mechanics and Graphic Statics
Two shots fired simultaneously from the top and bottom of a vertical tower with elevations of 30° and 45° respectively strike a target simultaneously. If horizontal distance of the target from the tower is 1000 m, the height of the tower is

425 m
350 m
400 m
375 m

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