Concept explainers
(a)
The acceleration of the centre of gravity.
Answer to Problem 16.131P
The acceleration of the centre of gravity is
Explanation of Solution
Given information:
Pole length,
Weight,
Angular velocity,
Horizontal force,
Pole mass,
Here,
Pole moment of inertia,
Acceleration tangential component between G and C.
Here,
Acceleration centripetal component between G and C.
Point G acceleration,
Force friction,
Here,
Moment at G,
Here,
Vertical component of forces,
Here,
Normal force between pole and ground,
Substitute,
So,
Forces horizontal component,
Here,
Therefore,
Acceleration at point G,
Resultant acceleration,
From equation D and E,
Substitute,
Resultant angle,
Conclusion:
The acceleration of the centre of gravity is
(b)
The normal force between pole and ground.
Answer to Problem 16.131P
The normal force between pole and ground is
Explanation of Solution
Given information:
Pole length,
Weight,
Angular velocity,
Horizontal force,
Pole mass,
Here,
Pole moment of inertia,
Acceleration tangential component between G and C
Here,
Acceleration centripetal component between G and C
Point G acceleration,
Force friction,
Here,
Moment at G,
Here,
Vertical component of forces,
Here,
Normal force between pole and ground,
Substitute,
So,
Conclusion:
The normal force between pole and ground is
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Chapter 16 Solutions
Vector Mechanics For Engineers
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