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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is

Proportional to 1/A²
Proportional to A²
Independent of A
Proportional to A

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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

1.0
0.50
0.75
0.25

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Applied Mechanics and Graphic Statics
The ratio of the speed of a rolling cylinder to the speed of sliding cylinder is

Greater than 2
Between 1 and 2
Equal to 1
Less than 1

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Applied Mechanics and Graphic Statics
A 2 m long ladder rests against a wall and makes an angle of 30° with the horizontal floor. Where will be the instantaneous center of rotation when the ladder starts slipping ?i. 1.0 in from the wallii. 1.732 m from the walliii. 1.0 m above the flooriv. 1.732 m above the floorThe correct answer is

(ii) and (iv)
(i) and (iv)
(ii) and (iii)
(i) and (iii)

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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
For a simple pendulum, the period of one oscillation is

2π √(2g/l)
2π √(g/2l)
2π √(l/2g)
2π √(l/g)

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