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title: "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."
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url: "https://nerd-notes.com/ubq/22890/"
date_modified: "2026-01-12T23:38:57+00:00"
---

# 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.

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.

**Part a)** Neglecting air resistance, determine the acceleration of the system *(3 points)*

**Part b)** the tensions, in the rope, on both sides of the pulley *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/22890/*