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Theory of Machine

Theory of Machine
With usual notations for different parameters involved, the maximum fluctuations of energy for a flywheel is given by

2ECS
EC S/2
2ECS²
2E²CS

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Theory of Machine
The relative velocity of B with respect to A in a rigid link AB is

Perpendicular to AB
At 45° to AB
Along AB
Parallel to AB

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Theory of Machine
The essential condition of placing the two masses, so that the system becomes dynamically equivalent, is (where l₁ and l₂ = Distance of two masses from the centre of gravity of the body, and kG = Radius of gyration of the body)

l₂ = kG
l₁l₂ = kG²
l₁l₂ = kG
l₁ = kG

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Theory of Machine
A simple spring-mass vibrating system has a natural frequency of fn. If the spring stiffness is halved and the mass is doubled, then the natural frequency will become

2 fn
fn/2
8 fn
4 fn

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Theory of Machine
The unbalanced force due to reciprocating masses

Varies in magnitude and direction both
Constant in magnitude and direction both
Varies in direction but constant in magnitude
Varies in magnitude but constant in direction

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Theory of Machine
Angular acceleration of a link can be determined by dividing the

Centripetal component of acceleration with length of link
All of these
Tangential component of acceleration with length of link
Resultant acceleration with length of link

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