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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The force polygon representing a set of forces in equilibrium is a

Closed polygon
Triangle
Parallelogram
Open polygon

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Applied Mechanics and Graphic Statics
A rod 5 m in length is moving in a vertical plane. When it is inclined at 60° to horizontal, its lower end is moving horizontally at 3 m/sec and upper end is moving in vertical direction. The velocity of its upper end, is

1.0 m/sec
2.5 m/sec
0.5 m/sec
1.5 m/sec

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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

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

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Applied Mechanics and Graphic Statics
The piston of a steam engine moves with a simple harmonic motion. The crank rotates 120 r.p.m. and the stroke length is 2 meters. The linear velocity of the piston when it is at a distance of 0.5 metre from the centre, is

10.88 m/sec
8.88 m/sec
5.88 m/sec
12.88 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 wallii. 1.732 m from the walliii. 1.0 m above the flooriv. 1.732 m above the floorThe correct answer is

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

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Applied Mechanics and Graphic Statics
If the radius of the earth is 600 km the height of a mountain above sea level at the top of which a beat seconds pendulum at sea level, looses 27 seconds a day, is

1500 meters
1000 meters
500 meters
2000 meters

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