Machine Design
Idler pulley is used for

Changing the direction of motion of belt
All of these
Increasing velocity ratio
For applying tension

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Machine Design
The shear stress at a point in a shaft subjected to a torque is

Directly proportional to the applied torque and the polar moment of inertia
Inversely proportional to the applied torque and the polar moment of inertia
Directly proportional to the applied torque and inversely proportional to the polar moment of inertia
Directly proportional to the polar moment of inertia and to the distance of the point from the axis

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