First slide

Connected bodies

Question

Two masses $m_{1}$ = 5 kg and $m_{2}$ = 4.8 kg tied to a string are hanging over a light frictionless pulley. What is the acceleration of the masses when they are free to move (g = $9.8 m / s^{2}$ )?

Easy

A

$0.2 m / s^{2}$
B

$9.8 m / s^{2}$
C

$5 m / s^{2}$
D

$4.8 m / s^{2}$

Solution

acceleration of a pulley system = $a = (\frac{m_{1} - m_{2}}{m_{1} + m_{2}}) g$ = $\frac{0.2 g}{9.8} = 0.2 m / s^{2}$

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