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.)

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

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Applied Mechanics and Graphic Statics
One end of an elastic string of natural length / 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

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

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Applied Mechanics and Graphic Statics
A ball which is thrown upwards, returns to the ground describing a parabolic path during its flight

Kinetic energy of the ball remains constant
Horizontal component of velocity remains constant
Speed of the ball remains constant
Vertical component of velocity remains constant

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