Concept explainers
Two forces act on a point object as follows: 100 N at
Find their resultant.
The resultant force due to the two forcesacting on an object, which are as follows:
Answer to Problem 42SP
Solution:
Explanation of Solution
Given data:
Two forcesacting on a point are as follows:
Formula used:
The resultant
Here,
The expression for the direction of the resultant force is
Here,
Explanation:
Draw the schematic diagram of the problem:
Find the x- and y-components of each force. These components are as follow:
Force | x-component | y-component |
Sum |
Recall the expression of the magnitude of the resultant:
Substitute
Draw a schematic diagram for the resultant of both forces.
In the above diagram,
Recall the expression of the angle:
Rearrange for
Substitute
This is the angle of the resultant with the negative x-axis. Therefore, the angle of the resultant with the positive x-axis should be
Conclusion:
The magnitude of the resultant is
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Chapter 3 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
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- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University