http://www.webassign.net/plmechalg/images/4-post-02.GIF
You will solve a general Atwood Machine problem usingconservation of energy techniques. The system starts at rest withheights h1 and h2 as shown in the figure below. It is then releasedand, once in motion, m2 falls to the ground. The string does notstretch.
(a) What is the total initial mechanical energy of the two masses?(Use m1, m2, h1, h2, and g as appropriate.)
Ei = msgh2 +m1gh1
(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. Solvefor 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 thevelocity at which m2 hits the ground?
http://www.webassign.net/plmechalg/images/4-post-02.GIF
You will solve a general Atwood Machine problem usingconservation of energy techniques. The system starts at rest withheights h1 and h2 as shown in the figure below. It is then releasedand, once in motion, m2 falls to the ground. The string does notstretch.
(a) What is the total initial mechanical energy of the two masses?(Use m1, m2, h1, h2, and g as appropriate.)
Ei = msgh2 +m1gh1
(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. Solvefor 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 thevelocity at which m2 hits the ground?
