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Theory of Machine

Theory of Machine
The periodic time is given by (where ω = Angular velocity of the particle in rad/s)

2π/ω
ω/2π
π/ω
ω × 2π

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Theory of Machine
The Whitworth quick return motion mechanism is formed in a slider crank chain when the

Longest link is a fixed link
Slider is a fixed link
Smallest link is a fixed link
Coupler link is fixed

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Theory of Machine
The equivalent length of a simple pendulum which gives the same frequency as a compound pendulum is

h²/(kG² + h²)
h/(kG² + h²)
(kG² + h²)/h
(kG² + h²)/h²

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Theory of Machine
A disc is a spinning with an angular velocity ω rad/s about the axis of spin. The couple applied to the disc causing precession will be (where I = Mass moment of inertia of the disc, and ωP = Angular velocity of precession of the axis of spin)

Iω²
(1/2). I ω ωP
(1/2).Iω²
I ω ωP

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Theory of Machine
The factional torque for square thread at the mean radius r while raising load W is given by

T = W.r tan(φ - α)
T = W.r tanα
T = W.r tan(φ + α)
T = W.r tanφ

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Theory of Machine
A shaft carrying two rotors at its ends will have

Two nodes
One node
No node
Three nodes

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