A pulley system consists of two blocks of mass $ 5 $ $ \text{kg} $ and $ 10 $ $ \text{kg} $, connected by a rope of negligible mass that passes over a pulley of radius $ 0.1 $ $ \text{m} $ and mass $ 2 $ $ \text{kg} $. The pulley is free to rotate about its axis. The system is released from rest, and the block of mass $ 10 $ $ \text{kg} $ starts to move downwards. Assume the pulley has a frictional force of $5.7$ Newtons acting on the outer edge of the pulley.

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A pulley system consists of two blocks of mass $ 5 $ $ \text{kg} $ and $ 10 $ $ \text{kg} $, connected by a rope of negligible mass that passes over a pulley of radius $ 0.1 $ $ \text{m} $ and mass $ 2 $ $ \text{kg} $. The pulley is free to rotate about its axis. The system is released from rest, and the block of mass $ 10 $ $ \text{kg} $ starts to move downwards. Assume the pulley has a frictional force of $5.7$ Newtons acting on the outer edge of the pulley.(a) Neglecting air resistance, determine the acceleration of the system
, (b) the tensions, in the rope, on both sides of the pulley
:

Jason · Accepted Answer

$a = 2.71\,\text{m/s}^2$
$T_2 = 70.9\,\text{N},\; T_1 = 62.5\,\text{N}$

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