Concept explainers
(a)
The tension in the horizontal massless cable CD.
(a)
Answer to Problem 19P
Solution:
410 N
Explanation of Solution
Given:
The uniform aluminum pole AB is 7.20 m long and has a mass 12 kg. The mass of the traffic light is 21.5 kg.
Formula used: For equilibrium:
Here,
Calculations:
The lengthof the cable connects to the hanging pole is the hypotenuse of a triangle which has a side 3.8 m and opposite angle of 37 degree, so the length of the hypotenuse is
Consider rotation through the base A, and by considering Newtons second law for angular rotation:
Conclusion:
Hence, the tension in the horizontal massless cable,
(b)
The vertical and horizontal components of the force exerted by the pivot A on the aluminum pole.
(b)
Answer to Problem 19P
Solution:
The horizontal component of force is 410 N and vertical components of force is 328 N.
Explanation of Solution
The forces in the x and y directions, and since the system is static, these sums are zero,
In which case,
And
Conclusion:
The horizontal component of force is 410 N and vertical components of force is 328 N.
Chapter 9 Solutions
Physics: Principles with Applications
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