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

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Applied Mechanics and Graphic Statics
A sphere and a cylinder having the same mass and radii start from rest and roll down the same inclined plane. Which body gets to the bottom first?

Sphere with lesser rotational energy at bottom than cylinder
Both reach the bottom simultaneously with equal rotational energy at bottom
Sphere with greater rotational energy at bottom than cylinder
Cylinder with greater rotational energy at bottom than sphere

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Applied Mechanics and Graphic Statics
When a body of mass M1 is hanging freely and another of mass M2 lying on a smooth inclined plane(α) are connected by a light index tensile string passing over a smooth pulley, the acceleration of the body of mass M1, will be given by

g(M2 + M1 sin α)/(M1 + M2­) m/sec²
g(M1 + M2 sin α)/(M1 + M2­) m/sec
g(M2 × M1 sin α)/(M2 - M1­) m/sec²
g(M1 - M2 sin α)/(M1 + M2­) m/sec²

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