Book edition 9th Edition

Author(s) Raymond A. Serway, John W. Jewett

Pages 1624 pages

ISBN 9781133947271

Answers without the blur.

Just sign up for free and you're in.

Short Answer

Question: Find the net torque on the wheel in Figure P10.27 about the axle through $a = 10.0 c m$ , taking and $b = 25.0 c m$ .

The net torque on the wheel about the axle through O taking $a = 10.0 cm$ and $b = 25.0 cm$ is $τ = 3.71$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Defining torque

The force that makes an object rotate is a torque.

$τ = r F \sin θ$

Step 2: Calculating the net torque

Consider the given figure.

Find the torque for 10.0N.

$τ_{10 N} = r F$

Since the radius of the torque 10N is b.

Substitute $r = 0.25 m$ , $F = 10 N$

$τ_{10 N} = 0.25 \times 10$

$τ_{10 N} = 2.5 N m$

Thus, the torque rotates in clockwise direction.

Calculate the torque for 9.00N.

Let the radius of 9.00N is b,

Substitute, $r = 0.25 m$ ,

$F = 9 N$

Therefore,

$τ_{9 N} = r F$

$τ_{9 N} = 0.25 \times 9$

$τ_{9 N} = 2.25 N$ , rotates in clockwise direction.

Determine the torque for $12.0 N$

Since it has an angle, the force is perpendicular.

Thus, the radius is from the figure,

Substitute the following values:

$r = 0.1 m, F = 12 N, θ = 30 °$

Therefore

$τ_{12 N} = 12 \cos 30 ° \times 0.1 τ_{12 N} = (12 \times \frac{\sqrt{3}}{2} \times 0.1) τ_{12 N} = (12 \times 0.866 \times 0.1) τ_{12 N} = 1.0392 N m$

It rotates in anticlockwise direction.

Hence, the total torque can be calculated as

$τ = τ_{10 N} + τ_{9 N} - τ_{12 N} τ = 2.5 N m + 2.25 N m - 1.039 N m τ = 3.71 N m$

Therefore, the net torque exerted on the wheel is $τ = 3.71 N m$ .

Find Study Materials for

Create Study Materials

Select your language

Physics For Scientists & Engineers

Answers without the blur.

Short Answer

Question: Find the net torque on the wheel in Figure P10.27 about the axle through $a = 10.0 c m$ , taking and $b = 25.0 c m$ .

Step by Step Solution

Step 1: Defining torque

Step 2: Calculating the net torque

Most popular questions for Physics Textbooks

Want to see more solutions like these?

Recommended explanations on Physics Textbooks

Select your language

Physics For Scientists & Engineers

Answers without the blur.

Short Answer

Question: Find the net torque on the wheel in Figure P10.27 about the axle through a=10.0 cm, taking and b=25.0 cm.

Step by Step Solution

Step 1: Defining torque

Step 2: Calculating the net torque

Most popular questions for Physics Textbooks

Want to see more solutions like these?

Recommended explanations on Physics Textbooks

Work Energy and Power

Radiation

Astrophysics

Physics of Motion

Scientific Method Physics

Fluids

Torque and Rotational Motion

Nuclear Physics

Fields in Physics

Measurements

Space Physics

Electricity

Physical Quantities and Units

Medical Physics

Electrostatics

Further Mechanics and Thermal Physics

Mechanics and Materials

Engineering Physics

Energy Physics

Force

Particle Model of Matter

Waves Physics

Magnetism

Modern Physics

Atoms and Radioactivity

Dynamics

Electricity and Magnetism

Conservation of Energy and Momentum

Fundamentals of Physics

Kinematics Physics

Circular Motion and Gravitation

Linear Momentum

Rotational Dynamics

Oscillations

Translational Dynamics

Geometrical and Physical Optics

Thermodynamics

Magnetism and Electromagnetic Induction

Electromagnetism

Electric Charge Field and Potential

Turning Points in Physics

Question: Find the net torque on the wheel in Figure P10.27 about the axle through $a = 10.0 c m$ , taking and $b = 25.0 c m$ .