Angular Momentum of a Rigid Body Figure 11-46 gives the torque τthat acts on an initially statio

Name: Problem 42, Chapter 11: Fundamentals of Physics
Uploaded: 2019-07-11T18:12:21-08:00
Duration: 2 min 5 s
Channel: Ben Nicholson
Description: Angular Momentum of a Rigid Body Figure 11-46 gives the torque τthat acts on an initially stationary disk that can rotate about its center like a merry-go-round. The scale on the τaxis is set by τs=4.0 N ·m . What is the angular momentum of the disk about the rotation axis at times (a) t=7.0 s and (b) t=20 s?

step 1 Problem 11 .42. So we have a disk that is initially stationary. So its angular momentum is initi

Question

Angular Momentum of a Rigid Body Figure $11-46$ gives the torque $\tau$ that acts on an initially stationary disk that can rotate about its center like a merry-go-round. The scale on the $\tau$ axis is set by $\tau_{s}=4.0 \mathrm{N} \cdot \mathrm{m} .$ What is the angular momentum of the disk about the rotation axis at times (a) $t=7.0 \mathrm{s}$ and (b) $t=20 \mathrm{s?}$

   Angular Momentum of a Rigid Body
Figure $11-46$ gives the torque $\tau$ that acts on an initially stationary disk that can rotate about its center like a merry-go-round. The scale on the $\tau$ axis is set by $\tau_{s}=4.0 \mathrm{N} \cdot \mathrm{m} .$ What is the angular momentum of the disk about the rotation axis at times (a) $t=7.0 \mathrm{s}$ and (b) $t=20 \mathrm{s?}$

Fundamentals of Physics

David Halliday,… 10th Edition

Chapter 11, Problem 42

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Solved by Expert Ben Nicholson

07/11/2019

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Angular Momentum of a Rigid Body Figure $11-46$ gives the torque $\tau$ that acts on an initially stationary disk that can rotate about its center like a merry-go-round. The scale on the $\tau$ axis is set by $\tau_{s}=4.0 \mathrm{N} \cdot \mathrm{m} .$ What is the angular momentum of the disk about the rotation axis at times (a) $t=7.0 \mathrm{s}$ and (b) $t=20 \mathrm{s?}$

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Key Concepts

Angular Momentum

Angular momentum is the quantity that represents the rotational motion of a body. It is defined as the product of the moment of inertia and the angular velocity of the object. Like linear momentum, angular momentum is conserved in a closed system, meaning that without an external torque, the total angular momentum remains constant.

Torque

Torque is the rotational analog of force. It is a measure of the tendency of a force to rotate an object about an axis. In rotational dynamics, the torque applied to a body causes it to accelerate angularly, depending on its moment of inertia.

Angular Impulse

Angular impulse is the time integral of torque and represents the cumulative effect of a torque applied over a certain period. It is directly related to the change in angular momentum of a rigid body over that period, as expressed by the impulse-momentum theorem in rotational dynamics.

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