Q2E Calculate the net torque about p... [FREE SOLUTION]

91影视

University Physics with Modern Physics

Hugh D. Young, Roger A. Freedman

Physics

14th edition Edition 路 1596 pages

ISBN: 9780321973610

Chapter 1: Q2E (page 329)

Calculate the net torque about point O for the two forces applied as in Fig. The rod and both forces are in the plane of the page.

Short Answer

Expert verified

The net torque is 28 Nm, clockwise.

Step by step solution

Given that

Length of the rod =5m

Forces applied

$F_{1} = 8 N$

$F_{2} = 12 N$

Formulas used

The magnitude of torque $t = F l$ where

F is force and l is distance

$l = r \sin 胃$ where

r is distance and $胃$ is angle between r and F

Find Torque due to two forces

Find torques due to two forces $F_{1}$ and $F_{2}$ and add them

Let counterclockwise be positive.

$蟿_{1} = - F_{1} l_{1}$

Force $F_{1} = 8$ N

Distance $r = 5$ m

Angle $胃 = 90 掳$

$l = r \sin 胃 = (5 m) \sin 90 掳 = 5 m$

Hence Torque $蟿_{1} = - (8 N) (5 m) = - 40 Nm$

This force is producing counterclockwise rotation, so by right-hand thumb rule, the torque is directed out of the plane of the figure.

$蟿_{2} = + F_{2} l_{2}$

Force $F_{2} = 12$ N

Distance $r = 2$ m

Angle $胃 = 30 掳$

$l = r \sin 胃 = (2 m) \sin 30 掳 = 1 m$

Hence Torque $蟿_{1} = (12 N) (1 m) = 12 Nm$

Find net Torque

Net torque $蟿 = 蟿_{1} + 蟿_{2}$

$蟿 = - 40 Nm + 12 Nm = - 28 Nm$

Hence, net torque is 28 Nm in clockwise direction.

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

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Calculate the net torque about point O for the two forces applied as in Fig. The rod and both forces are in the plane of the page.

Short Answer

Step by step solution

Given that

Formulas used

Find Torque due to two forces

Find net Torque

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Energy Physics

Magnetism and Electromagnetic Induction

Modern Physics

Wave Optics

Further Mechanics and Thermal Physics

Scientific Method Physics

Study anywhere. Anytime. Across all devices.