Concept explainers
a.
By using a graphing utility to graph the resulting function of1y
a.
Answer to Problem 13PS
Explanation of Solution
Given information:
In physics, the cross product can be used to measure torque, or the moment
A force of
Find the magnitude of the moment about
Calculation:
Here, we will consider the following pipe wrench system as shown in the figure:
Now, the force acting at a point
So, the magnitude
Therefore, vector
The magnitude of this moment is:
Now, by using
Now, press
Now, press
Now, press
b.
To determine the magnitude of the moment when
b.
Answer to Problem 13PS
Explanation of Solution
Given information:
In physics, the cross product can be used to measure torque, or the moment
A force of
Use the result of part (a) to determine the magnitude of the moment when
Calculation:
Here, we will put
Hence, at
c.
To determine the angle
c.
Answer to Problem 13PS
Explanation of Solution
Given information:
In physics, the cross product can be used to measure torque, or the moment
A force of
Use the result of part (a) to determine the angle
Calculation:
Here, the slope of magnitude will be zero when magnitude is maximum.
Thus,
Therefore, the maximum moment will be:
Hence, the maximum moment is
Chapter 11 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning