Blocks of mass m₁ and m₂ are connected by a massless string that passes over the pulley in the figure below. The pulley turns on frictionless bearings. The surface that m₁ sits on is frictionless. Mass m2 is released while the blocks are at rest.

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6. Blocks of mass m₁ and m₂ are connected by a massless string that passes over the pulley
in the figure below. The pulley turns on frictionless bearings. The surface that m₁ sits
on is frictionless. Mass m2 is released while the blocks are at rest.
m₁
m₂
(a) Assume the pulley is massless. Find the acceleration of m₁ and the tension in
the string. This is a review problem: You can use Newton's second law and a
force-based approach to solve this problem.
(b) Suppose the pulley has mass mp and radius R. Find the acceleration of m₁ and the
tensions in the upper and lower portions of the string. Verify that your answers
agree with part (a) if you set mp = 0.
Transcribed Image Text:6. Blocks of mass m₁ and m₂ are connected by a massless string that passes over the pulley in the figure below. The pulley turns on frictionless bearings. The surface that m₁ sits on is frictionless. Mass m2 is released while the blocks are at rest. m₁ m₂ (a) Assume the pulley is massless. Find the acceleration of m₁ and the tension in the string. This is a review problem: You can use Newton's second law and a force-based approach to solve this problem. (b) Suppose the pulley has mass mp and radius R. Find the acceleration of m₁ and the tensions in the upper and lower portions of the string. Verify that your answers agree with part (a) if you set mp = 0.
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