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Theory of Machine

Theory of Machine
The equation of free vibrations of a system is (d²x/dt²) +36 π²x, its natural frequency is

3 Hz
3π Hz
6π Hz
6 Hz

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Theory of Machine
The acceleration of the particle moving with simple harmonic motion is _________ at the mean position.

Maximum
None of these
Minimum
Zero

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Theory of Machine
The size of cam depends upon

Base circle
Pitch circle
Pitch curve
Prime circle

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Theory of Machine
In a four-bar chain it is required to give an oscillatory motion to the follower for a continuous rotation of the crank. For the lengths of 50 mm of crank and 70 mm of the follower, determine theoretical maximum length of coupler. The minimum length of the coupler will be

45 mm
95 mm
Slightly less than 45 mm
Slightly more than 45 mm

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Theory of Machine
In a screw jack, the effort required to lift the load W is given by (where α = Helix angle, and φ = Angle of friction)

P = W tan(α + φ)
P = W tan(α - φ)
P = W tan(φ - α)
P = W cos(α + φ)

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Theory of Machine
In a Hartnell governor, the compression of the spring is __________ the lift of the sleeve.

Equal to
Greater than
None of these
Less than

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