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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
Two parallel forces 20 kg and 15 kg act. In order that the distance of the resultant from 20 kg force may be the same as that of the former resultant was from 15 kg, the 20 kg force is diminished by

10.5 kg
8.75 kg
6.25 kg
5.5 kg

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Applied Mechanics and Graphic Statics
M.I. of a thin ring (external diameter D, internal diameter d) about an axis perpendicular to the plane of the ring, is

π/32 (D⁴ + d⁴)
π/32 (D⁴ × d⁴)
π/64 (D⁴ + d⁴)
π/32 (D⁴ - d⁴)

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Applied Mechanics and Graphic Statics
A ball of mass 1 kg moving with a velocity of 2 m/sec collides a stationary ball of mass 2 kg and comes to rest after impact. The velocity of the second ball after impact will be

2.0 m/sec
0.5 m/sec
Zero
1.0 m/sec

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Applied Mechanics and Graphic Statics
A bullet weighing 200 g is fired horizontally with a velocity of 25 m/sec from a gun carried on a carriage which together with the gun weighs 100 kg. The velocity of recoil of the gun, will be

0.05 m/sec
1.5 m/see
0.01 m/sec
1.00 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

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

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Applied Mechanics and Graphic Statics
A system of coplanar forces is in equilibrium when

Funicular polygon closes
Force polygon closes
All the forces are concurrent
Both force polygon" and funicular polygon close

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