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?

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?

Cylinder with greater rotational energy at bottom than sphere

Both reach the bottom simultaneously with equal rotational energy at bottom

Sphere with greater rotational energy at bottom than cylinder

Sphere with lesser rotational energy at bottom than cylinder

Cylinder with greater rotational energy at bottom than sphere

Both reach the bottom simultaneously with equal rotational energy at bottom

Sphere with greater rotational energy at bottom than cylinder

Sphere with lesser rotational energy at bottom than cylinder

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Applied Mechanics and Graphic Statics
The piston of a steam engine moves with a simple harmonic motion. The crank rotates 120 r.p.m. and the stroke length is 2 meters. The linear velocity of the piston when it is at a distance of 0.5 metre from the centre, is

5.88 m/sec

12.88 m/sec

10.88 m/sec

8.88 m/sec

5.88 m/sec

12.88 m/sec

10.88 m/sec

8.88 m/sec

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Applied Mechanics and Graphic Statics
Pick up the correct statement from the following. The kinetic energy of a body

Before impact is less than that after impact

Before impact is more than that after impact

Remain constant

Before impact is equal to that after impact

Before impact is less than that after impact

Before impact is more than that after impact

Remain constant

Before impact is equal to that after impact

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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

A damped oscillatory motion

A rectilinear motion with constant speed

None of these

A simple harmonic motion

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Applied Mechanics and Graphic Statics
If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60° to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are

5 m/sec and 0

5 and 5√3 m/sec

5√3 m/sec and 0

0 and 5 m/sec

5 m/sec and 0

5 and 5√3 m/sec

5√3 m/sec and 0

0 and 5 m/sec

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Applied Mechanics and Graphic Statics
For a simple pendulum, the period of one oscillation is

2π √(l/2g)

2π √(l/g)

2π √(g/2l)

2π √(2g/l)

2π √(l/2g)

2π √(l/g)

2π √(g/2l)

2π √(2g/l)

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Applied Mechanics and Graphic Statics

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?

Applied Mechanics and Graphic Statics The piston of a steam engine moves with a simple harmonic motion. The crank rotates 120 r.p.m. and the stroke length is 2 meters. The linear velocity of the piston when it is at a distance of 0.5 metre from the centre, is

Applied Mechanics and Graphic Statics Pick up the correct statement from the following. The kinetic energy of a body

Applied Mechanics and Graphic Statics If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60° to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are

Applied Mechanics and Graphic Statics For a simple pendulum, the period of one oscillation is

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?

Applied Mechanics and Graphic Statics
The piston of a steam engine moves with a simple harmonic motion. The crank rotates 120 r.p.m. and the stroke length is 2 meters. The linear velocity of the piston when it is at a distance of 0.5 metre from the centre, is

Applied Mechanics and Graphic Statics
Pick up the correct statement from the following. The kinetic energy of a body

Applied Mechanics and Graphic Statics
If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60° to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are

Applied Mechanics and Graphic Statics
For a simple pendulum, the period of one oscillation is