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Theory of Machine

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

All of these
Valve and valve gears
Gyroscope
Pantograph

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Theory of Machine
In a simple harmonic motion, the velocity vector with respect to displacement vector

Is in phase
Leads by 90°
Lags by 90°
Leads by 180°

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Theory of Machine
A spring controlled governor is said to be isochronous when the controlling force

Remain constant for all radii of rotation
Increases as the radius of rotation increases
Increases as the radius of rotation decreases
Decreases as the radius of rotation increases

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Theory of Machine
In a shaper mechanism, the Coriolis component of acceleration will

Depend on position of crank
None of these
Not exist
Exist

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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)

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

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Theory of Machine
A body of weight W is required to move up the rough inclined plane whose angle of inclination with the horizontal is α. The effort applied parallel to the plane is given by (where μ = tan φ = Coefficient of friction between the plane and the body)

P = W tan α
P = W (cos α + μ sin α)
P = W (sin α + μ cos α)
P = W tan (α + φ)

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