A shaft has an attached disc at the centre of its length. The disc has its centre of gravity located at a distance of 2 mm from the axis of the shaft. When the shaft is allowed to vibrate in its natural bow-shaped mode, it has a frequency of vibration of 10 rad/s. When the shaft is rotated at 300 r.p.m., it will whirl with a radius of

Theory of Machine
A shaft has an attached disc at the centre of its length. The disc has its centre of gravity located at a distance of 2 mm from the axis of the shaft. When the shaft is allowed to vibrate in its natural bow-shaped mode, it has a frequency of vibration of 10 rad/s. When the shaft is rotated at 300 r.p.m., it will whirl with a radius of

3.0 mm

2.50 mm

2 mm

2.22 mm

3.0 mm

2.50 mm

2 mm

2.22 mm

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Theory of Machine
The angle of inclination of the plane, at which the body begins to move down the plane is called

None of these

Angle of friction

Angle of repose

Angle of projection

None of these

Angle of friction

Angle of repose

Angle of projection

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Theory of Machine
The natural frequency of free transverse vibrations due to uniformly distributed load acting over a simply supported shaft is (where δS = Static deflection of simply supported shaft due to uniformly distributed load)

0.5615/ √δS

0.4985/ √δS

0.6253/ √δS

0.571/ √δS

0.5615/ √δS

0.4985/ √δS

0.6253/ √δS

0.571/ √δS

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Theory of Machine
Tangential acceleration direction is

Opposite to angular velocity

May be any one of these

Perpendicular to angular velocity

Along the angular velocity

Opposite to angular velocity

May be any one of these

Perpendicular to angular velocity

Along the angular velocity

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Theory of Machine
Shaft revolving in a bearing is the following type of pair

Higher pair

Cylindrical pair

Lower pair

Spherical pair

Higher pair

Cylindrical pair

Lower pair

Spherical pair

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Theory of Machine
For an isochronous Hartnell governor (where r₁ and r₂ = Maximum and minimum radius of rotation of balls respectively, S₁ and S₂ = Maximum and minimum force exerted on the sleeve respectively, and M = Mass on the sleeve)

(m.g - S₁)/(m.g - S₂) = r₂/r₁

(m.g + S₁)/(m.g + S₂) = r₁/r₂

S₁/S₂ = r₁/r₂

S₂/S₁ = r₁/r₂

(m.g - S₁)/(m.g - S₂) = r₂/r₁

(m.g + S₁)/(m.g + S₂) = r₁/r₂

S₁/S₂ = r₁/r₂

S₂/S₁ = r₁/r₂

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Theory of Machine

Theory of Machine The angle of inclination of the plane, at which the body begins to move down the plane is called

Theory of Machine The natural frequency of free transverse vibrations due to uniformly distributed load acting over a simply supported shaft is (where δS = Static deflection of simply supported shaft due to uniformly distributed load)

Theory of Machine Tangential acceleration direction is

Theory of Machine Shaft revolving in a bearing is the following type of pair

Theory of Machine For an isochronous Hartnell governor (where r₁ and r₂ = Maximum and minimum radius of rotation of balls respectively, S₁ and S₂ = Maximum and minimum force exerted on the sleeve respectively, and M = Mass on the sleeve)

Theory of Machine
The angle of inclination of the plane, at which the body begins to move down the plane is called

Theory of Machine
The natural frequency of free transverse vibrations due to uniformly distributed load acting over a simply supported shaft is (where δS = Static deflection of simply supported shaft due to uniformly distributed load)

Theory of Machine
Tangential acceleration direction is

Theory of Machine
Shaft revolving in a bearing is the following type of pair

Theory of Machine
For an isochronous Hartnell governor (where r₁ and r₂ = Maximum and minimum radius of rotation of balls respectively, S₁ and S₂ = Maximum and minimum force exerted on the sleeve respectively, and M = Mass on the sleeve)