The combined moment of inertia of the dual pulley is 52.0 kg·m2. The crate weighs 4650 N. A tension of 2150 N is maintained in the cable attached to the motor. Find the angular acceleration of the dual pulley. +xDual pulleyMotor10.600 m20.200mAxismgCrate(b) Free-body diagram of pulley(c) Free-body diagram of crate

Given: Moment of inertia, I = 52 kg.m2 Crate weight, W = mg = 4650 N…

Answered: +x Dual pulley Motor 10.600 m 20.200m…

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter8: Rotational Motion

Section: Chapter Questions

Problem 62A

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The combined moment of inertia of the dual pulley is 52.0 kg·m². The crate weighs 4650 N. A tension of 2150 N is maintained in the cable attached to the motor. Find the angular acceleration of the dual pulley.

+x
Dual pulley
Motor
10.600 m
20.200m
Axis
mg
Crate
(b) Free-body diagram of pulley
(c) Free-body diagram of crate

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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