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## Homework Statement

The apparatus (see link to image) is used to measure the free fall acceleration g by measuring the acceleration of the two blocks connected by a string over a pulley. Asume a massless, frictionless pulley and a massless string.

http://img3.imageshack.us/img3/3459/phys.th.png [Broken]

a) draw a free body diagram of each block

http://img16.imageshack.us/img16/3523/diagrams.th.png [Broken]

b)use the free body diagrams and Newton's laws to show that the magnitude of acceleration of either block and tension in string are a=(m

_{1}-

_{2})/(m

_{1}+

_{2})

c)do these expressions give reasonable results if m

_{1}=m

_{2}in the limit that m

_{1}>> m

_{2}and in the limit that m

_{1}<< m

_{2}? Explain

## Homework Equations

F

_{net}=ma

F

_{g}=mg

## The Attempt at a Solution

F=ma

T_1=-T_2

T_2=(m_2)g

T_1=(m_1)g

=>m_1(g)=-m_2(g)

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