A pulley with moment of inertia / = 0.75 kg-m² and radius R = 15 cm is mounted on a wall. A light string is wrapped around the pulley with a mass m = 2.0 kg attached to the end. The pulley rotates as the mass falls. Use Newton's second law to calculate the acceleration of the mass. Check that your formula gives the expected behavior when I → 0. W m To help get started, the free body diagrams m and the pulley is shown below. Write down Newton's second law for each diagram. Use (and explain) the relationship R a = Rox E R 771

A pulley with moment of inertia / = 0.75 kg-m² and radius R = 15 cm is mounted on a wall. A light string is wrapped around the pulley with a mass m = 2.0 kg attached to the end. The pulley rotates as the mass falls. Use Newton's second law to calculate the acceleration of the mass. Check that your formula gives the expected behavior when I → 0. W m To help get started, the free body diagrams m and the pulley is shown below. Write down Newton's second law for each diagram. Use (and explain) the relationship R a = Rox E R 771

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 72P: An ice skater is preparing for a jump with turns and has his arms extended. His moment of inertia is...

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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

A pulley with moment of inertia I = 0.75 kg-m² and radius
R = 15 cm is mounted on a wall. A light string is wrapped
around the pulley with a mass m = 2.0 kg attached to the
end. The pulley rotates as the mass falls.
Use Newton's second law to calculate the acceleration of
the mass.
Check that your formula gives the expected behavior when
I →0.
=>
To help get started, the free body diagrams m and the pulley is shown below.
T
m
Write down Newton's second law for each diagram.
Use (and explain) the relationship
R
a = RO
TIL
R
T

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