Question

Blocks of mass m1 and m2 are connected by a massless string that passes over the pulley in the figure (Figure 1). The pulley turns on frictionless bearings, and mass m1 slides on a horizontal, frictionless surface. Mass m2 is released while the blocks are at rest.

Part A

Assume the pulley is massless. Find the acceleration of m1.

Express your answer in terms of some or all of the variables m1, m2, and constant g .

Part B

Find the tension in the string.

Express your answer in terms of some or all of the variables m1, m2, and constant g

Part C

Suppose the pulley has mass mp and radius R. Find the acceleration of m1. Verify that your answers agree with part A if you set mp=0.

Express your answer in terms of some or all of the variables m1, m2, mp, and constant g

Part D

Find the tension in the upper portion of the string. Verify that your answers agree with part B if you set mp=0

Express your answer in terms of some or all of the variables m1, m2, mp, and constant g

Part E

Find the tension in the lower portions of the string. Verify that your answers agree with part B if you set mp=0.

Express your answer in terms of some or all of the variables m1, m2, mp, and constant g.

Answer 1

Ans:

m2g PartA)al = ml + m2

mlm29 : PartBT = ml + m2

m2g : PartC)al = ml + m2 + mp/2

mlm2g PartD)T1 = ml + m2 + mp/2

: PartE)T2 = (m2- m2m2 ml + m2 + mp/29

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