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KWWS¹³³ZZZºZHEDVVLJQºQHW³ZHE³6WXGHQW³$VVLJQPHQW·5HVSRQVHV³ODVW"GHS ±±»»¼±»½ »³±² 5. 35/35 points | Previous Answers A simple Atwood machine consists of two masses m 1 and m 2 that are connected by a string wound over a pulley, as seen in the figure below. Assume m 2 is larger than m 1 . Motion in the upward direction is positive. On a piece of paper, draw two free body diagrams; one for each of the masses, showing all forces acting on each mass. Then answer the following questions. (a) Identify the forces acting on the mass m 1 . (Select all that apply.) (b) Using the direction rosette indicate the direction for each of the forces acting on m 1 that you identified in part (a). If any of the forces listed below is not applicable, choose 'NA'. Force Direction m 1 a NA m 2 a NA m 1 g 1 m 1 a m 2 a m 1 g m 2 g ( m 1 + m 2 ) a ( m 1 + m 2 ) g f T F N
±²³±±³²´±µ /DE ¶ · 1HZWRQ¸V 6HFRQG /DZ¹ 3RVW/DE m 2 g NA ( m 1 + m 2 ) a NA ( m 1 + m 2 ) g NA f NA T 5 F N NA (c) Identify the forces acting on the mass m 2 . (Select all that apply.) (d) Using the direction rosette indicate the direction for each of the forces acting on m 2 that you identified in part (c). If any of the forces listed below is not applicable, choose 'NA'.
KWWS¹³³ZZZºZHEDVVLJQºQHW³ZHE³6WXGHQW³$VVLJQPHQW·5HVSRQVHV³ODVW"GHS ±±»»¼±»½ ±´³±²
±²³±±³²´±µ /DE ¶ · 1HZWRQ¸V 6HFRQG /DZ¹ 3RVW/DE ( m 1 + m 2 ) g NA f NA T 5 F N NA (e) Write Newton's Second Law equation (in the form F net = ma ) for m 1 in the y ­ direction. It is important to use the correct signs for each of the forces. Motion in the upward direction is positive and motion in the downward direction is negative. (Be sure to enter your answer in the above form with the sum of the forces in the left hand side answer box. The right hand side answer box should have the appropriate form of ma . Use the following as necessary: a , f , F N , g , m 1 , and T .) (f) Write Newton's Second Law equation (in the form F net = ma ) for m 2 in the y ­direction.
KWWS¹³³ZZZºZHEDVVLJQºQHW³ZHE³6WXGHQW³$VVLJQPHQW·5HVSRQVHV³ODVW"GHS ±±»»¼±»½ ±±³±²
(g) Use your answers from parts (e) and (f) to get an expression for the magnitude of the tension T . (Use the following as necessary: m 1 , m 2 , and g .)

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