AtwoodMachine - passing over a pulley, as shown in the...

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C-2 (20 points) Mass m3 can slide in one dimension on a frictionless track. It is connected by strings at either end via pulleys to hanging masses m1 and m2 as shown in the figure below. Neglect the mass of the strings and pulleys and neglect all sources of friction. Assume m2 > m1. In this problem, we will use the following variables: Masses: m1, m2, m3 String Tensions: T1, T2 Acceleration of mass m3: a (positive to the right) Acceleration constant of gravity: g m1 m2 m3 T1 T2 (a) Find the tension in the string attached to m1 in terms of m1, a, and g: T1 = _________________________________________________ (b) Find the tension in the string attached to m2 in terms of m2, a, and g: T2 = _________________________________________________ (c) Find the acceleration of m3 in terms of m1, m2, m3, and g: a = __________________________________________________
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C-2 (18 points) Masses m1 and m2 are free to slide up and down their respective tracks, connected by a string
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Unformatted text preview: passing over a pulley, as shown in the figure below. Neglect the masses of the string and pulley and neglect all sources of friction. In this problem, we will use the following variables: Masses: m1, m2 String Tension: T Inclination angle of track 1: Inclination angle of track 2: Acceleration of mass m2: a (positive to the right and down track 2) Acceleration constant of gravity: g m2 m1 (a) Write Newtons 2 nd Law equation for m1 in terms of m1, , a, g, and T: ______________________________________________________ (b) Write Newtons 2 nd Law equation for m2 in terms of m2, , a, g, and T: ______________________________________________________ (c) Find the acceleration (a) in terms of m1, , m2, , and g: a = __________________________________________________...
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This note was uploaded on 04/02/2008 for the course PHYSICS 8A taught by Professor Jacobsen during the Spring '07 term at University of California, Berkeley.

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AtwoodMachine - passing over a pulley, as shown in the...

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