/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q69P In Fig.10聽-聽49, a small disk o... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q69P (page 291)

In Fig.10-49, a small disk of radius r=2.00cmhas been glued to the edge of a larger disk of radius R=4.00cmso that the disks lie in the same plane. The disks can be rotated around a perpendicular axis through pointOat the center of the larger disk. The disks both have a uniform density (mass per unit volume) of1.40脳103kg/m2and a uniform thickness of 5.00mm. What is the rotational inertia of the two-disk assembly about the rotation axis through O?

Short Answer

Expert verified

The rotational inertia of the two-disc assembly about the rotation axis through O is

6.16脳10-5kgm2

Step by step solution

01

Given

  1. Thickness of the discd=5.0脳10-3m
  2. Radius of big discR=0.04m
  3. Radius of small discr=0.02m
  4. Density of material蚁=1400kg/m3
  5. Rotational inertia of wheelI=0.050kgm2
  6. Magnitude of forceP=3.0N
02

Understanding the concept

Use the parallel axis theorem to obtain the rotational inertia of the two-disc assembly.

Formula:

I=12mR2+md2m=蚁v=蚁蟺r2d

03

Calculate the rotational inertia of the two-disk assembly about the rotation axis through O 

For the rotational inertia of the two-disc assembly about the rotation axis through ,

I=12MR2+12mr2+mr+R2I=12蚁蟺R2dR2+12蚁蟺r2dr2+蚁蟺r2dr+R2I=蚁蟺d12R4+12r4+r2r+R2I=1400kg/m3)蟺(5.0脳10-3m120.04m4+120.02m4+0.02m20.02m+0.04m2I=6.16脳10-5kg.m2Therefore, the rotational inertia of the two-disc assembly about the rotation axis through O is6.16脳10-5kgm2

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A disk, initially rotating at 120鈥�rads, is slowed down with a constant angular acceleration of magnitude 120鈥�rads2.

(a) How much time does the disk take to stop?

(b) Through what angle does the disk rotate during that time?

The uniform solid block in Fig 10-38has mass 0.172kg and edge lengths a = 3.5cm, b = 8.4cm, and c = 1.4cm. Calculate its rotational inertia about an axis through one corner and perpendicular to the large faces.

Figure 10-34ashows a disk that can rotate about an axis at a radial distance hfrom the center of the disk. Figure 10-34b gives the rotational inertia lof the disk about the axis as a function of that distance h, from the center out to the edge of the disk. The scale on the laxis is set by lA=0.050kg.m2andlB=0.050kg.m2. What is the mass of the disk?

A high-wire walker always attempts to keep his center of mass over the wire (or rope). He normally carries a long, heavy pole to help: If he leans, say, to his right (his com moves to the right) and is in danger of rotating around the wire, he moves the pole to his left (its com moves to the left) to slow the rotation and allow himself time to adjust his balance. Assume that the walker has a mass of 70.0kgand a rotational inertia of about the wire.What is the magnitude of his angular acceleration about the wire if his com is 5.0cmto the right of the wire and (a) he carries no pole and (b) the 14.0kgpole he carries has its com 10 cm to the left of the wire?

An astronaut is tested in a centrifuge with radius 10鈥尘and rotating according to 胃=0.30t2. At t=5.0鈥塻, what are the magnitudes of the

(a) angular velocity,

(b) linear velocity,

(c) tangential acceleration,

and (d) radial acceleration?
See all solutions

Recommended explanations on Physics Textbooks

Atoms and Radioactivity

Read Explanation

Translational Dynamics

Read Explanation

Fluids

Read Explanation

Electricity and Magnetism

Read Explanation

Famous Physicists

Read Explanation

Oscillations

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.