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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A quantity whose dimensions are M2L2T3 could be the product of

force and velocity
energy and velocity
mass and power
force and pressure

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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

5.5 kg
10.5 kg
8.75 kg
6.25 kg

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Applied Mechanics and Graphic Statics
For a non-concurrent force system to be in equilibrium

Both force polygon and funicular polygon must close
Only the closure of force polygon is sufficient
None of these
Only the closure of funicular polygon is sufficient

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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

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

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Applied Mechanics and Graphic Statics
If the angle of projection is double the angle of inclination (α) of the plane on which particle is projected, the ratio of times of flight up the inclined plane and down the inclined plane, will be

½ sin α
2 cos α
½ cos α
½ tan α

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Applied Mechanics and Graphic Statics
The velocity ratio of an inclined plane of inclination ‘θ’ with horizontal for lifting a load is

sin θ
cosec θ
cos θ
tan θ

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