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Block and Pulley System

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In the system (shown in the attachment), the block of mass M1, is on a rough horizontal table. The string that attaches it to the block of mass M2 passes over a frictionless pulley of negligible mass. The coefficient of kinetic friction µ _k between M1 and the table is less than the coefficient of static friction µ_s.

a.) Draw and identify all the forces acting on the block of mass M1.

b.) In terms of M1 and M2, determine the minimum value of µ_s that will prevent the blocks from moving.

The blocks are set in motion by giving M2 and momentary downward push. In terms of M1, M2, µ_k, and g, determine each of the following:

c.) The magnitude of the acceleration of M1
d.) The tension in the string

Any help would be greatly appreciated. Thank you!

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It investigates the block and pulley system. The solution is detailed and well presented.

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Physics problem
In the system (shown in the attachment), the block of mass M1, is on a rough horizontal table. The string that attaches it to the block of mass M2 passes over a frictionless pulley of negligible mass. The coefficient of kinetic friction µ _k between M1 and the table is less than the coefficient of static friction µ_s. ...

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