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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
For a simple pendulum, time period for a beat, is

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

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Applied Mechanics and Graphic Statics
A rigid body suspended vertically at a point and oscillating with a small amplitude under the action of the force of gravity, is called

None of these
Simple pendulum
Second's pendulum
Compound pendulum

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Applied Mechanics and Graphic Statics
A stone was thrown vertically upwards from the ground with a velocity of 50 m/sec. After 5 seconds another stone was thrown vertically upwards from the same place. If both the stones strike the ground at the same time, then the velocity with which the second stone was thrown should be (Assume g = 10 m/sec²)

25 m/sec
50 m/sec
15 m/sec
40 m/sec

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Applied Mechanics and Graphic Statics
A ball moving with a velocity of 5 m/sec impinges a fixed plane at an angle of 45° and its direction after impact is equally inclined to the line of impact. If the coefficient of restitution is 0.5, the velocity of the ball after impact will be

3.5 m/sec
2.5 m/sec
0.5 m/sec
1.5 m/sec

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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 wall ii. 1.732 m from the wall iii. 1.0 m above the floor iv. 1.732 m above the floor The correct answer is

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

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Applied Mechanics and Graphic Statics
The dimensions of Gravitational Universal constant ‘G’ are

M-1L2r2
M1L3T2
M-2L3T2
M-1L3r2

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