To find: The angle formed between the inclined plane and the horizontal axis.
Answer to Problem 51E
The angle of inclination of the plane is
Explanation of Solution
Given:
The weight of the package is 200 lb.
The force required to keep the package from sliding is 80 lb.
Calculation:
The Figure 1 which shown below the package exerts a force of 200 lb in downward direction.
From Figure 1, it can be observed that the box exerts force into two components u and v. The angle of inclination is
The angle formed between u and w is,
The magnitude of the part of force that requires to keeps the box rolling down.
Substitute 200 for F and
Simplify further,
Thus, the angle of inclination of the plane is
Chapter 9 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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