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Here's the problem:

http://img187.imageshack.us/img187/5958/showmenq5.gif [Broken]

A block of mass m1 = 1 kg rests on a table with which it has a coefficient of friction µ = 0.52. A string attached to the block passes over a pulley to a block of mass m3 = 3 kg. The pulley is a uniform disk of mass m2 = 0.5 kg and radius 15 cm. As the mass m3 falls, the string does not slip on the pulley.

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a) With what acceleration does the mass m3 fall?

a =

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b) What is the tension in the horizontal string, T1?

T1 =

--------------------------------------------------------------------------------

c) What is the tension in the vertical string, T3?

T3 =

Well I set up free body diagrams for all three parts, found the tension equations for the masses and torque equation for the pulley and attempted to solve for a (translational acceleration). I got an answer of 4.01m/s^2, but it was incorrect. Where could I have gone wrong?

My work :

http://img187.imageshack.us/img187/6857/workow7.jpg [Broken]

http://img187.imageshack.us/img187/5958/showmenq5.gif [Broken]

A block of mass m1 = 1 kg rests on a table with which it has a coefficient of friction µ = 0.52. A string attached to the block passes over a pulley to a block of mass m3 = 3 kg. The pulley is a uniform disk of mass m2 = 0.5 kg and radius 15 cm. As the mass m3 falls, the string does not slip on the pulley.

--------------------------------------------------------------------------------

a) With what acceleration does the mass m3 fall?

a =

--------------------------------------------------------------------------------

b) What is the tension in the horizontal string, T1?

T1 =

--------------------------------------------------------------------------------

c) What is the tension in the vertical string, T3?

T3 =

Well I set up free body diagrams for all three parts, found the tension equations for the masses and torque equation for the pulley and attempted to solve for a (translational acceleration). I got an answer of 4.01m/s^2, but it was incorrect. Where could I have gone wrong?

My work :

http://img187.imageshack.us/img187/6857/workow7.jpg [Broken]

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