Concept explainers
The magnitude and the direction of the sixth force required to produce the equilibrium.
Answer to Problem 82A
The magnitude and direction of the sixth force is
Explanation of Solution
Given:
The five forces are:
The force
The force
The force
The force
The force
Formula used:
Consider a force
The magnitude of vertical component of the forceF is,
Calculation:
Consider five forces
The horizontal and vertical component of the force
The horizontal and vertical component of the force
The horizontal and vertical component of the force
The horizontal and vertical component of the force
The horizontal and vertical component of the force
The net horizontal force due to five forces as follows:
The net vertical force due to five forces as follows:
The resultant vector of the five forces acting on the objects as follows:
The magnitude of the resultant force as follows:
Find the direction of the resultant force as follows:
Hence, the net force acting on the object is
For the Equilibrium of the forces in the object, the sixth force of magnitude
Conclusion:
Therefore, the magnitude and direction of the sixth force is
Chapter 5 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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