
Concept explainers
(a)
The magnitude of the force
(a)

Answer to Problem 20P
Explanation of Solution
Given:
Length of the board,
Mass of the board,
The angle between the board and the horizontal surface,
Mass of the block rests on the board,
Distance between the block and the hinge =
Formula used:
Applying rotational equilibrium condition to the board, that is
Calculation:
In figure 1,
FIGURE: 1
Substituting the numerical values in equation
Conclusion:
The magnitude of the force
(b)
The force exerted by the hinge.
(b)

Answer to Problem 20P
Explanation of Solution
Given:
Length of the board,
Mass of the board,
The angle between the board and the horizontal surface,
Mass of the block rests on the board,
Distance between the block and the hinge =
Formula used:
Applying
Calculation:
Substituting the numerical values in equation
Conclusion:
The force exerted by the hinge is
(c)
The magnitude of the force
(c)

Answer to Problem 20P
The magnitude of the force
The magnitude of the force exerted by the hinge
Explanation of Solution
Given:
Length of the board,
Mass of the board,
The angle between the board and the horizontal surface,
Mass of the block rests on the board,
Distance between the block and the hinge =
Formula used:
Applying rotational equilibrium condition to the board, that is
Applying
Applying
Dividing equation
Calculation:
FIGURE: 2
Substituting the numerical values in equation
Substituting numerical values in equation
Now substituting the numerical values in equation
Conclusion:
The magnitude of the force
The magnitude of the force exerted by the hinge
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Chapter 12 Solutions
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