5.16 Two masses 8 kg and 12 kg are connected at the two ends of a light inextensible string that goes over a frictionless pulley. Find the acceleration of the masses, and the tension in the string when the masses are released.
5.16 Two masses 8 kg and 12 kg are connected at the two ends of a light inextensible string that goes over a frictionless pulley. Find the acceleration of the masses, and the tension in the string when the masses are released.
Given, small mass, m1 = 8 kg. bigger mass, m2 = 12 kg
Let T be the tension in the string
The heavier mass will go downward and the lighter mass will go upward.
Applying Newton's 2nd law,
For mass m1, T –m1g = m1a …… (1)
For mass m2, m2g – T = m2a……. (2)
Adding (1) & (2), we get
(m2 - m1) g = (m1 + m2) a
a
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