Concept explainers
Two forces
Figure P5.19
(a)
The acceleration of the object for the configurations of forces shown in part (a) of given figure.
Answer to Problem 5.19P
The magnitude of the acceleration is
Explanation of Solution
Given info: Two forces
The net force act on the object is,
Here,
The horizontal component of force is,
In the horizontal direction the
Substitute
The vertical component of force is,
In the vertical direction the
Substitute
Substitute
According to Newton’s second law of motion,
Here,
Substitute
The magnitude of the acceleration is,
Here,
Substitute
The angle made by acceleration with the horizontal is,
Substitute
Conclusion:
Therefore, the magnitude of the acceleration is
(b)
The acceleration of the object for the configurations of forces shown in part (b) of given figure.
Answer to Problem 5.19P
The magnitude of the acceleration is
Explanation of Solution
Given info: Two forces
The horizontal component of force is,
In the horizontal direction the
Substitute
The vertical component of force is,
In the vertical direction the
Substitute
Substitute
According to Newton’s second law of motion,
Substitute
The magnitude of the acceleration is,
Substitute
The angle made by acceleration with the horizontal is,
Substitute
Conclusion:
Therefore, the magnitude of the acceleration is
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Chapter 5 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
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