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

2 mm

2.22 mm

2.50 mm

3.0 mm

2 mm

2.22 mm

2.50 mm

3.0 mm

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Theory of Machine
The natural frequency of free longitudinal vibrations is equal to (where m = Mass of the body, s = Stiffness of the body, and δ = Static deflection of the body)

1/2π × √(s/m)

Any one of the listed here

0.4985/√δ

1/2π × √(g/δ)

1/2π × √(s/m)

Any one of the listed here

0.4985/√δ

1/2π × √(g/δ)

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Theory of Machine
For an involute gear, the ratio of base circle radius and pitch circle radius is equal to

cosφ

sinφ

cosecφ

secφ

cosφ

sinφ

cosecφ

secφ

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Theory of Machine
The velocity of a particle moving with simple harmonic motion, at any instant is given by (where ω = Displacement of the particle from mean position)

ω √(r² - x²)

ω² √(x² - r²)

ω √(x² - r²)

ω² √(r² - x²)

ω √(r² - x²)

ω² √(x² - r²)

ω √(x² - r²)

ω² √(r² - x²)

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Theory of Machine
Which of the following statement is correct for involute gears?

The pressure angle is constant throughout the teeth engagement.

The variation in centre distance of shafts increases radial force.

A convex flank is always in contact with concave flank.

The interference is inherently absent.

The pressure angle is constant throughout the teeth engagement.

The variation in centre distance of shafts increases radial force.

A convex flank is always in contact with concave flank.

The interference is inherently absent.

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Theory of Machine
The velocity of any point in mechanism relative to any other point on the mechanism on velocity polygon is represented by the line

Joining the corresponding points

At 45° to line as per (A)

Perpendicular to line as per (A)

Not possible to determine with these data

Joining the corresponding points

At 45° to line as per (A)

Perpendicular to line as per (A)

Not possible to determine with these data

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Theory of Machine

Theory of Machine The natural frequency of free longitudinal vibrations is equal to (where m = Mass of the body, s = Stiffness of the body, and δ = Static deflection of the body)

Theory of Machine For an involute gear, the ratio of base circle radius and pitch circle radius is equal to

Theory of Machine The velocity of a particle moving with simple harmonic motion, at any instant is given by (where ω = Displacement of the particle from mean position)

Theory of Machine Which of the following statement is correct for involute gears?

Theory of Machine The velocity of any point in mechanism relative to any other point on the mechanism on velocity polygon is represented by the line

Theory of Machine
The natural frequency of free longitudinal vibrations is equal to (where m = Mass of the body, s = Stiffness of the body, and δ = Static deflection of the body)

Theory of Machine
For an involute gear, the ratio of base circle radius and pitch circle radius is equal to

Theory of Machine
The velocity of a particle moving with simple harmonic motion, at any instant is given by (where ω = Displacement of the particle from mean position)

Theory of Machine
Which of the following statement is correct for involute gears?

Theory of Machine
The velocity of any point in mechanism relative to any other point on the mechanism on velocity polygon is represented by the line