Concept explainers
The forces on the two supports
Answer to Problem 41PP
The force on support at one endis
The force on supportat the middle is
Explanation of Solution
Given:
The mass of the diver is
The length of the board is
The mass of the board is
Formula used:
The torque is the product of the lever arm and the applied force.
The expression for the torque is,
Here,
Calculation:
The forces acting on the board is shown in the figure below.
Consider the weight of the board is concentrated at the centre support B.
The axis of rotation passes through the support B.
Consider the self weight of the diver is denoted by
The torque produce due to the self weight of the board
Consider the torque produced by the support
For the rotational equilibrium of the board,
The board is not moving and the net vertical forces acting on the board is zero.
For the vertical equilibrium of forces,
The value of the torque
Conclusion:
Therefore, the force exerted on support
Chapter 8 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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