How to solve a general Atwood Machine problem using conservation of energy techniques?

Asui Willags

New member
For clarification - until question D, this is actually asking simply for the formulas requested, not an actual number answer.

You will solve a general Atwood Machine problem using conservation of energy techniques. The system starts at rest with heights h1 and h2 as shown in the figure below. It is then released and, once in motion, m2 falls to the ground. The string does not stretch.

(a) What is the total initial mechanical energy of the two masses? (Use m1, m2, h1, h2, and g as appropriate.)
Ei = m2gh2 + m1gh1 (I have this correct.)

(b) What is the total final mechanical energy of the two masses? (Use m1, m2, h1, h2, vf, and g as appropriate.)
Ef = ?

(c) Use your answers to parts (a) and (b) to eliminate h1. Solve for vf. (Use m1, m2, h2, and g as appropriate.)
vf = ?

(d) Suppose h2 = 11.6 m, m1 = 9 kg and m2 = 12.5 kg, what is the velocity at which m2 hits the ground?

This is the Atwood figure: http://www.webassign.net/plmechalg/images/4-post-02.GIF
 
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