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Applied Mechanics and Graphic Statics

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)

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

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Applied Mechanics and Graphic Statics
A cylinder will slip on an inclined plane of inclination 0 if the coefficient of static friction between plane and cylinder is

less than (1/3) tan 0
less than (1/3) sin 6
less than (2/3) tan 0
less than (2/3) sin 6

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Applied Mechanics and Graphic Statics
If the kinetic energy and potential energy of a simple harmonic oscillator of amplitude A are both equal to half the total energy, then the displacement is equal to

A
A√2
A/2
A/√2

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Applied Mechanics and Graphic Statics
On a mass ‘m’ describing a circular path of radius ‘r’, the centrifugal force

Acts towards the centre of rotation
Is mw2r/g kgf
Acts away from the centre of rotation
Acts tangentially to the circular path

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Applied Mechanics and Graphic Statics
Energy may be defined as

Rate of doing work
Capacity of doing work
Power of doing work
All listed here

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Applied Mechanics and Graphic Statics
The tension in a cable supporting a lift

Is more when the lift is moving downwards
Is less when the lift is moving downwards
Is less when the lift is moving upwards
Remains constant whether its moves downwards or upwards

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