To find the total force exerted on the pin at position
Answer to Problem 7PS
Explanation of Solution
Given information:
A precast concrete wall is temporarily kept in its vertical position by ropes (see figure). Find the total force exerted on the pin at position
Calculation:
Here, we will consider a following
Now, the magnitude of the vector
As, we know that a unit vector is a vector having unit magnitude.
Now, for finding a unit vector
Thus,
Now, we will consider the following figure:
Here, two forces
The forces are in the vector form in such a way that vector
Vector
The force vectors are as follows:
We will first find the unit vector in direction of
Thus, force
Now, we will find the unit vector in direction of
Thus, force
Now, find the unit vector in direction of
Thus, force
Now, at equilibrium the resultant force acting on crate is zero. So,
Thus, the equations formed are:
By solving these three equations we will get:
Hence, tensions of supporting cables are:
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