A crate of mass m is thrown horizontally with speed vc onto an inextensible conveyor belt...

A crate of mass m is thrown horizontally with speed vc onto an inextensible conveyor belt that is moving to the right at a constant speed vb. Treating the crate as a particle, knowing that vb > vc, and assuming that the coefficients of static and kinetic friction between the crate and conveyor are μs and μk, respectively, determine:

(a) the distance the crate slides before it stops slipping relative to the belt,

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(b) the time it takes for the crate to stop sliding, and

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(c) the distance the crate moves relative to the belt.

Figure P3.155