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  4. Two masses of 5 kg and 10 kg are connected to a pulley as shown. What will be the acceleration of the system? (g = acceleration due to gravity)

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Q. Two masses of $5\, kg$ and $10\, kg$ are connected to a pulley as shown. What will be the acceleration of the system? ($g$ = acceleration due to gravity)Physics Question Image

ManipalManipal 2015

Solution:

According to Newton's law,
$\sum F_{1}= T -5\, g = m _{1} a ... (i)$
$\sum F_{2}=10\, g - T = m _{2} a ...(ii)$
Adding, (i) and (ii)
$T -5 g =5 \times a$
$\frac{10\, g - T +10 \times a}{5\, g =15\, a}$
$a = g / 3$

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