Concept explainers
(a)
Where should the pivotbe placed so that the board is balanced, ignoring the board’s mass.
(a)
Answer to Problem 11P
Solution:
2.3 m from the adult.
Explanation of Solution
Given:
Mass of adult 75 kg.
Mass of child 25 kg.
Length of board 9 m.
Formula Used:
For
Calculation:
Taking principle of moment about pivot.
Let y be the distance from the adult to the pivot and then
Therefore, sum torques about the pivot point,
Or,
Conclusion:
The pivot should be placed at 2.3 m from the adult.
(b)
The pivot point if the board is uniform and has a mass of 15 kg.
(b)
Answer to Problem 11P
Solution:
2 .5 m from the adult
Explanation of Solution
Given:
Mass of adult 75 kg.
Mass of child 25 kg.
Length of board 9 m.
Formula Used:
For rotational equilibrium:
Calculation:
Now add additional torque of beam,
Or
Conclusion:
The pivot point if the board is uniform and has a mass of 15 kg is 2.5 m form adult.
Chapter 9 Solutions
Physics: Principles with Applications
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