Theory of Machine
In under damped vibrating system, the amplitude of vibration

Increases exponentially with time
Increases linearly with time
Decreases exponentially with time
Decreases linearly with time

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Theory of Machine
Two pulleys of radii r₁ and r₂ and at distance x apart are connected by means of a cross belt drive. The length of the belt is

π (r₁ - r₂) + [(r₁ + r₂)²/x] + 2x
π (r₁ + r₂) + [(r₁ + r₂)²/x] + 2x
π (r₁ - r₂) + [(r₁ - r₂)²/x] + 2x
π (r₁ + r₂) + [(r₁ - r₂)²/x] + 2x

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Theory of Machine
Which of the following property of the instantaneous center is correct?

The velocity of the instantaneous centre relative to any third rigid link is same whether the instantaneous centre is regarded as a point on the first rigid link or on the second rigid link.
A rigid link rotates instantaneously relative to another link at the instantaneous centre for the configuration of the mechanism considered.
The two rigid links have no linear velocity relative to each other at the instantaneous centre.
All of these

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Theory of Machine
A governor is said to be stable, if the

Radius of rotation of balls decreases as the equilibrium speed increases
Radius of rotation of balls decreases as the equilibrium speed decreases
Radius of rotation of balls increases as the equilibrium speed decreases
Radius of rotation of balls increases as the equilibrium speed increases

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Theory of Machine
Power of a governor is the

Work-done at the sleeve for maximum equilibrium speed
Mean force exerted at the sleeve for a given percentage change of speed
Mean force exerted at the sleeve for maximum equilibrium speed
None of these

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