πŸŽ“ mecademyAI β€Ί General Physics 1 β€Ί Rolling, Torque, and Angular Momentum β€Ί Problem 63_H
Fundamentals of Physics Extended 12th Edition Β· Rolling, Torque, and Angular Momentum Β· Problem 63_H
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Halliday, Resnick & Walker β€” Rolling, Torque, and Angular Momentum: Problem 63_H

In Fig. 11.34, a 30 kg child stands on the edge of a stationary merry-go-round of radius 2.0 m. The rotational inertia of the merry-go-round about its rotation axis is \(150 \text{ kg} \cdot \text{m}^2\). The child catches a ball of mass 1.0 kg thrown by a friend. Just before the ball is caught, it has a horizontal velocity \(\vec{v}\) of magnitude 12 m/s, at angle \(\phi = 37^\circ\) with a line tangent to the outer edge of the merry-go-round, as shown. What is the angular speed of the merry-go-round just after the ball is caught?

πŸ“ Solution Approach

Given: 11.34, a, 30 kg, 2.0 m, 1.0 kg, 12 m

This problem covers key concepts in Rolling, Torque, and Angular Momentum from Fundamentals of Physics Extended 12th Edition by Halliday, Resnick & Walker. The step-by-step solution involves applying fundamental principles and systematic analysis to arrive at the correct answer. Full solution available with a Solution Pass.

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πŸ“˜ About This Textbook

Fundamentals of Physics Extended Β· 12th Edition
Author: Halliday, Resnick & Walker
Publisher: Wiley
Chapter: Rolling, Torque, and Angular Momentum