Theory of Machine
Idler pulley is used

For changing the direction of motion of the belt
All of the listed here
For applying tension
For increasing velocity ratio

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Theory of Machine
The magnitude of velocities of the points on a rigid link is

Inversely proportional to the distance from the points to the instantaneous center and is perpendicular to the line joining the point to the instantaneous center
Directly proportional to the distance from the points to the instantaneous center and is perpendicular to the line joining the point to the instantaneous center
Inversely proportional to the distance from the points to the instantaneous center and is parallel to the line joining the point to the instantaneous center
Directly proportional to the distance from the points to the instantaneous center and is parallel to the line joining the point to the instantaneous center

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Theory of Machine
A point B on a rigid link AB moves with respect to A with angular velocity ω rad/s. The total acceleration of B with respect to A will be equal to

Vector difference of radial component and tangential component
Vector sum of tangential component and Coriolis component
Vector sum of radial component and Coriolis component
Vector sum of radial component and tangential component

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