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Mass - Pulley problem

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Two pulley system supporting two masses; one sliding on a rough surface and the other hanging. The system is released from rest. To determine the linear acceleration of the sliding mass.

Block A weighs 25 lbs and it slides on a surface with a coefficient of friction 0.30. Block B weighs 7 lbs. The cable does not slip on either pulley. Both pulleys are massless and frictionless. The system is released from rest. Determine the linear acceleration of mass A.

(See attachment for fig.)

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This posting helps with a mass pulley problem and provides step by step calculations.

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Problem: Block A weighs 25 lbs and it slides on a surface with a coefficient of friction 0.30. Block B weighs 7 lbs. The cable does not slip on either pulley. Both pulleys are massless and frictionless. The system is released from rest. Determine the linear acceleration of mass A.

Solution:
Please refer to the attachment.

(Please see attached file for diagram)

All the forces acting on the system are shown in the fig.. Weights of the blocks act ...

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