Calculate the forces that the supports A and B exert on the diving board shown i

Question

Calculate the forces that the supports A and B exert on the diving board shown in (Figure 1) when a 65-kgperson stands at its tip.

Figure 1 of 1

Part A

Calculate the force that the support A exerts on the diving board. Ignore the weight of the board.

Express your answer to two significant figures and include the appropriate units. Enter positive value if the force is upward and negative value if the force is downward.

Part B

Calculate the force that the support B exerts on the diving board. Ignore the weight of the board.

Express your answer to two significant figures and include the appropriate units. Enter positive value if the force is upward and negative value if the force is downward.

Part C

Calculate the force that the support A exerts on the diving board. Take into account the board's mass of 40kg . Assume the board's CG is at its center.

Express your answer to two significant figures and include the appropriate units. Enter positive value if the force is upward and negative value if the force is downward

Part D

Calculate the force that the support B exerts on the diving board. Take into account the board's mass of 40kg . Assume the board's CG is at its center.

Express your answer to two significant figures and include the appropriate units. Enter positive value if the force is upward and negative value if the force is downward.

Calculate the forces that the supports A and B exert on the diving board shown in (Figure 1) when a 65-kgperson stands at its tip. Figure 1 of 1 Part A Calculate the force that the support A exerts on the diving board. Ignore the weight of the board. Express your answer to two significant figures and include the appropriate units. Enter positive value if the force is upward and negative value if the force is downward. Part B Calculate the force that the support B exerts on the diving board. Ignore the weight of the board. Express your answer to two significant figures and include the appropriate units. Enter positive value if the force is upward and negative value if the force is downward. Part C Calculate the force that the support A exerts on the diving board. Take into account the board's mass of 40kg . Assume the board's CG is at its center. Express your answer to two significant figures and include the appropriate units. Enter positive value if the force is upward and negative value if the force is downward Part D Calculate the force that the support B exerts on the diving board. Take into account the board's mass of 40kg . Assume the board's CG is at its center. Express your answer to two significant figures and include the appropriate units. Enter positive value if the force is upward and negative value if the force is downward.

Explanation / Answer

Part A)

Solve by torques about pivot B

Fr = Fr

(FA)(1) = (65)(9.8)(3)

FA = -1900 N

Part B)

By sum of forces...

1900 + (65)(9.8) = FB

FB = 2500 N

Part C)

(FA)(1) = (65)(9.8)(3) + (40)(9.8)(1)

FA = -2300 N

Part D)

By sum of forces...

2300 + (65)(9.8) + (40)(9.8) = FB

FB = 3300 N

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