Question

7. The system shown is an example of the Atwood's machine. m1 and m2 are connected by a light inextensible string over a light and smooth pulley with m1>m2. What is the acceleration of the masses?

Answer 1

Answer on Question #61862-Physics-Mechanics

7 The system shown is an example of the Atwood's machine. m1 and m2 are connected by a light inextensible string over a light and smooth pulley with m1>m2. What is the acceleration of the masses?

Solution

$$W _ {1} = m _ {1} g$$ $$W _ {2} = m _ {2} g$$ $$m _ {1} a = m _ {1} g - T$$ $$m _ {2} a = T - m _ {2} g$$ $$a = \frac {m _ {1} - m _ {2}}{m _ {1} + m _ {2}} g$$

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