Machine Design
Crowning on pulley helps

To keep the belt in centre on a pulley while it is in motion
In decreasing the slip of the belt
To increase pulley life
In increasing the slip of the belt

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

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

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