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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
For maximum range of a projectile, the angle of projection should be

None of these
30°
45°
60°

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Applied Mechanics and Graphic Statics
If y is force and x is velocity, then dimensions of —=r are dx2

M’L-‘T1
M’L-‘T0
M2L’T3
M’^T’

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Applied Mechanics and Graphic Statics
The resultant of two forces ‘P’ and ‘Q’ acting at an angle ‘θ’, is

P² + Q² + 2PQ tan θ
P² + Q² + 2PQ cos θ
P² + Q² + 2P sin θ
√(P² + Q² + 2PQ cos θ)

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Applied Mechanics and Graphic Statics
From the circular plate of a diameter 6 cm is cut out a circular plate whose diameter is equal to radius of the plate. The C.G. of the remainder shifts from the original position through

0.50 cm
0.75 cm
0.25 cm
1.00 cm

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Applied Mechanics and Graphic Statics
The ratio of the ranges on the inclined plane with motion upward and with motion downward for a given velocity, angle of projection will be

tan (α - β)/tan (α + β)
sin (α + β)/sin (α - β)
cos (α - β)/cos (α + β)
sin (α - β)/sin (α + β)

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Applied Mechanics and Graphic Statics
A marble ball is rolled on a smooth floor of a room to hit a wall. If the time taken by the ball in returning to the point of projection is twice the time taken in reaching the wall, the coefficient of restitution between the ball and the wall, is

0.50
0.25
0.75
1.0

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