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 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?

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
Sphere with lesser rotational energy at bottom than cylinder

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