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Theory of Machine

Theory of Machine
When a body moves with simple harmonic motion, the product of its periodic time and frequency is equal to

Zero
π/2
One
π

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Theory of Machine
The Coriolis component of acceleration acts

Along the sliding surface
At 45° to the sliding surface
Perpendicular to the sliding surface
Parallel to the sliding surface

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Theory of Machine
The two links OA and OB are connected by a pin joint at O. If the link OA turns with angular velocity ω₁ rad/s in the clockwise direction and the link OB turns with angular velocity ω₂ rad/s in the anticlockwise direction, then the rubbing velocity at the pin joint O is (where r = Radius of the pin at O)

(ω₁ - ω₂) 2r
ω₁.ω₂.r
(ω₁ - ω₂) r
(ω₁ + ω₂) r

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Theory of Machine
The natural frequency of free transverse vibrations due to a point load acting over a simply supported shaft is equal to (where δ = Static deflection of a simply supported shaft due to the point load)

0.6253/√δ
0.4985/√δ
0.571/√δ
0.5615/√δ

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Theory of Machine
The locus of a point on a thread unwound from a cylinder will be

A straight line
A circle
Involute
Cycloidal

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Theory of Machine
The rotating shafts tend to vibrate violently at whirling speeds because

The system is unbalanced
Bearing centre line coincides with the axis
The shafts are rotating at very high speeds
Resonance is caused due to the heavy mass of the rotor

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