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A package is at rest on a conveyor belt, which is initially at rest. The belt is

ID: 1851455 • Letter: A

Question

A package is at rest on a conveyor belt, which is initially at rest. The belt is started and moves to the right for 1.3 s with a constant acceleration of 2 m/s^2 . the belt then moves with a constant deceleration a2 and comes to a stop after a total displacement of 2.2 m. knowing that the coefficients of friction between the package and the belt are Ms=0.35 and Mk=0.25, determine (a) the deceleration a2 of the belt, (b) the displacement of the package relative to the belt as the belt comes to a stop.

Explanation / Answer

A package is at rest on a conveyor belt, which is initially at rest. The belt is started and moves to the right for 1.3 s with a constant acceleration of 2 m/s^2 . the belt then moves with a constant deceleration a2 and comes to a stop after a total displacement of 2.2 m. knowing that the coefficients of friction between the package and the belt are Ms=0.35 and Mk=0.25, determine (a) the deceleration a2 of the belt, (b) the displacement of the package relative to the belt as the belt comes to a stop.

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