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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The resultant of two forces acting at right angles is √34 kg and acting at 60° is 70 kg. The forces are

3 kg and 5 kg
1 kg and 4 kg
2 kg and 3 kg
√3 kg and √5 kg

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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 torque produced by a force depends on (i) The magnitude of the force (ii) The direction of the force (iii) The point of application of the force relative to origin

Both (i) and (iii)
Only (i)
All (i), (ii) and (iii)
Both (i) and (ii)

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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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Applied Mechanics and Graphic Statics
If the angular distance, 0 = 2t³ ‑ 3t², the angular acceleration at t = 1 sec. is

4 rad/sec²
1 rad/sec²
12 rad/sec²
6 rad/sec²

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Applied Mechanics and Graphic Statics
A shell of mass 100 kg travelling with a velocity of 10 m/sec breaks into two equal pieces during an explosion which provides an extra kinetic energy of 20000 Joules. If the pieces continue to move in the same direction as before, then the speed of the faster one must be

50 m/sec
30 m/sec
40 m/sec
20 m/sec

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