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Theory of Machine

Theory of Machine
In full depth involute system, the smallest number of teeth in a pinion which meshes with rack without interference is

25
12
32
16

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Theory of Machine
The frequency of oscillation of a compound pendulum is

(1/2π). √[gh/(kG² + h²)]
2π. √[(kG² + h²)/gh]
(1/2π). √[(kG² + h²)/gh]
2π. √[gh/(kG² + h²)]

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Theory of Machine
In a reciprocating steam engine, when the crank has turned from inner dead centre through an angle θ, the angular velocity of the connecting rod is given by

ω cosθ/(n² - sin²θ)1/2
ω sinθ/(n² - cos²θ)1/2
ω cosθ/(n² - cos²θ)1/2
ω sinθ/(n² - sin²θ)1/2

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Theory of Machine
Which of the following is a higher pair?

Sliding pair
Screw pair
Turning pair
Belt and pulley

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Theory of Machine
The total number of instantaneous centers for a mechanism consisting of n links are

n(n - 1)/2
n/2
n - 1
n

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Theory of Machine
The velocity of the belt for maximum power is (where m = Mass of the belt in kg per meter length)

T/3
√(T/3m)
√(3m/T)
(T.g)/3

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