1. A system consits of two masses and a pulley. The hanging mass accelerates downwards with an acceleration of magnitude a, at the instant shown. Find an expression for the tensions, T₁ and T2, and the linear acceleration a. Assume the pulley can be modeled as a solid disk of radius R and mass M. T₁ M T₂ m₂

1. A system consits of two masses and a pulley. The hanging mass accelerates downwards with an acceleration of magnitude a, at the instant shown. Find an expression for the tensions, T₁ and T2, and the linear acceleration a. Assume the pulley can be modeled as a solid disk of radius R and mass M. T₁ M T₂ m₂

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 4P

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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

1. A system consits of two masses and a pulley. The hanging mass accelerates downwards
with an acceleration of magnitude a, at the instant shown. Find an expression for the
tensions, T₁ and T2, and the linear acceleration a. Assume the pulley can be modeled as
a solid disk of radius R and mass M.
T₁
1
m₁
M
T₂
m₂

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