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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
If two equal forces of magnitude ‘P’ act at an angle ‘θ’, their resultant, will be

P cos θ/2
P tan θ/2
2P cos θ/2
2P sin θ/2

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Applied Mechanics and Graphic Statics
If the tension in a cable supporting a lift moving upwards is twice the tension when the lift is moving downwards, the acceleration of the lift, is

g/3
g/4
g/5
g/2

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Applied Mechanics and Graphic Statics
A heavy ladder resting on a floor and against a vertical wall may not be in equilibrium, if

Floor is smooth and the wall is rough
Floor is rough and the wall is smooth
Floor and wall both are smooth surfaces
Floor and wall both are rough surfaces

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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

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

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Applied Mechanics and Graphic Statics
A solid sphere of mass M and radius R rolls down a plane inclined at 0 with the horizontal. The acceleration of sphere is (where g is acceleration due to gravity)

(5/7) g sin0
(2/5) g sin 0
(3/7) g sin 0
(1/3) g sin0

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Applied Mechanics and Graphic Statics
The angle of projection for a range is equal to the distance through which the particle would have fallen in order to acquire a velocity equal to the velocity of projection, will be

60°
75°
30°
45°

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