Applied Mechanics and Graphic Statics
A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of center of mass of rolling cylinder is (where ‘g’ is acceleration due to gravity and 0 is inclination of plane with horizontal.)

g sin 9
(1/3) g sinB
(2/3) g cos 9
(2/3) g sin 0

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Applied Mechanics and Graphic Statics
Free body diagram is an

Isolated joint with only body forces acting on it
Isolated joint with internal forces acting on it
None of these
Isolated joint with all the forces, internal as well as external, acting on it

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Applied Mechanics and Graphic Statics
One end of an elastic string of natural length ‘l’ and modulus ‘X’ is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance ‘x’, held at rest and then released.The motion is

A damped oscillatory motion
A rectilinear motion with constant speed
None of these
A simple harmonic motion

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