Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

An object with weight $ W $ is dragged along a horizontal plane by a force acting along a rope attached to the object. If the rope makes an angle $ \theta $ with a plane, then the magnitude of the force is$$ F = \dfrac{\mu W}{\mu \sin \theta + \cos \theta} $$where $ \mu $ is a constant called the coefficient of friction. For what value of $ \theta $ is $ F $ smallest?

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

$\theta=\arctan \mu$

02:42

Wen Zheng

Calculus 1 / AB

Calculus 2 / BC

Chapter 4

Applications of Differentiation

Section 7

Optimization Problems

Derivatives

Differentiation

Volume

Campbell University

Baylor University

University of Michigan - Ann Arbor

Boston College

Lectures

04:35

In mathematics, the volume of a solid object is the amount of three-dimensional space enclosed by the boundaries of the object. The volume of a solid of revolution (such as a sphere or cylinder) is calculated by multiplying the area of the base by the height of the solid.

06:14

A review is a form of evaluation, analysis, and judgment of a body of work, such as a book, movie, album, play, software application, video game, or scientific research. Reviews may be used to assess the value of a resource, or to provide a summary of the content of the resource, or to judge the importance of the resource.

01:10

An object with weight $W$ …

04:40

04:03

An object with weight W is…

08:20

Physics A heavy object of …

01:21

An object of weight $W$ is…

01:35

Okay. We know that we're trying to find the maximum value of the denominator. So what we know we can do is we can take the derivative of the denominator derivative Sinus co sign derivative of coastline is negative sign and said this equal to zero solve. When we get there, that is work 10.

View More Answers From This Book

Find Another Textbook

Missouri State University

Oregon State University

Harvey Mudd College