Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 12: Q. 18 (page 331)

In FIGURE EX12.18, what is the net torque about the axle?

Short Answer

Expert verified

The net torque on the pulley about the axle is −0.20Nm.

Direction of torque is clockwise.

Step by step solution

01

Step 1. Given information

Torque by a force is defined as τ=Frsinϕ,

Here ϕis measured counterclockwise from the r→vector to the F→vector.

02

Step 2. Explanation

The net torque on the pulley about the axle is the torque due to the 30 N force plus the torque due to the 20 N force:

τ=(30N)r1sinϕ1+(20N)r2sinϕ2=(30N)(0.02m)sin−90°+(20N)(0.02m)sin90°=(−0.60Nm)+(0.40Nm)=−0.20Nm

The net torque on the pulley about the axle is−0.20Nm

Direction of torque is clockwise.

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

Consider a solid cone of radius R, height H, and mass M. The volume of a cone is 1/3 πHR2

a. What is the distance from the apex (the point) to the center of mass?
b. What is the moment of inertia for rotation about the axis of the cone?
Hint: The moment of inertia can be calculated as the sum of the moments of inertia of lots of small pieces.

A 4.0-m-long, 500 kg steel beam extends horizontally from the point where it has been bolted to the framework of a new building under construction. A 70 kg construction worker stands at the far end of the beam. What is the magnitude of the torque about the bolt due to the worker and the weight of the beam?

Your engineering team has been assigned the task of measuring the properties of a new jet-engine turbine. You’ve previously determined that the turbine’s moment of inertia is 2.6 kg m2. The next job is to measure the frictional torque of the bearings. Your plan is to run the turbine up to a predetermined rotation speed, cut the power, and time how long it takes the turbine to reduce its rotation speed by 50,. Your data are given in the table. Draw an appropriate graph of the data and, from the slope of the best-fit line, determine the frictional torque.

Is the center of mass of the dumbbell in FIGURE Q12.1 at point a, b, or c? Explain.

The three masses shown in FIGURE EX12.15 are connected by massless, rigid rods.

a. Find the coordinates of the center of mass.

b. Find the moment of inertia about an axis that passes through mass A and is perpendicular to the page.

c. Find the moment of inertia about an axis that passes through masses B and C.
See all solutions

Recommended explanations on Physics Textbooks

Oscillations

Read Explanation

Quantum Physics

Read Explanation

Rotational Dynamics

Read Explanation

Radiation

Read Explanation

Electromagnetism

Read Explanation

Waves Physics

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.

Sign-up for free