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Theory of Machine

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

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

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Theory of Machine
When the addenda on pinion and wheel is such that the path of approach and path of recess are half of their maximum possible values, then the length of the path of contact is given by (where r = Pitch circle radius of pinion, R = Pitch circle radius of wheel, and φ = Pressure angle)

[(r + R) cosφ]/2
[(r² + R²) sinφ]/2
[(r + R) sinφ]/2
[(r² + R²) cosφ]/2

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

3 Hz
6π Hz
6 Hz
3π Hz

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Theory of Machine
The minimum force required to slide a body of weight W on a rough horizontal plane is

W cosecθ
W cosθ
W tanθ
W sinθ

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Theory of Machine
Which of the following mechanism is obtained from lower pair?

Gyroscope
Valve and valve gears
Pantograph
All of these

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Theory of Machine
Rectilinear motion of piston is converted into rotary by

Gudgeon pin
Cross head
Slider crank
Connecting rod

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