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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A particle moves in a straight line and its position is defined by the equation x = 6 t² - t3 where t is expressed in seconds and ‘x’ in meters. The maximum velocity during the motion is

24 m/sec
6 m/sec
12 m/sec
48 m/sec

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Applied Mechanics and Graphic Statics
The shape of a suspended cable for a uniformly distributed load over it is

Catenary
Cubic parabola
Circular
Parabolic

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Applied Mechanics and Graphic Statics
A force P of 50 N and another force Q of unknown magnitude act at 90° to each other. They are balanced by a force of 130 N. The magnitude of Q is

60 N
120 N
100 N
80 N

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Applied Mechanics and Graphic Statics
If the given forces P₁, P₂, P₃ and P₄ are such that the force polygon does not close, then the system will

Always reduce to a resultant force
Be in equilibrium
Always reduce to a couple
Both (A) and (C)

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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

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

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Applied Mechanics and Graphic Statics
A shell travelling with a horizontal velocity of 100 m/sec explodes and splits into two parts, one of mass 10 kg and the other of 15 kg. The 15 kg mass drops vertically downward with initial velocity of 100 m/sec and the 10 kg mass begins to travel at an angle to the horizontal of tan”1 x, where x is

3/4
4/5
5/3
3/5

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