In the figure, the diver is simply standing at the end of the board, before begi

Question

In the figure, the diver is simply standing at the end of the board, before beginning her diving action. The distance from support post B to the position of the diver's feet is L = 2.90 m , and the distance from support post B to support post A is d = 0.910 m . The weight of the diving board is 250.0 N and the mass of the diving board is uniformly distributed.

Part A

Find the torque about the front support post (B) of a diving board (Figure 1), exerted by a 56.0  kg person standing 2.90  m from that post

ans = -1590 N m

Part B

Find the force exerted on the board by the supporting structure at point A. Note that the structure at A will include bolts attaching the board to the support post; consider the bolts as part of the support structure.

ans = -2020 N m

Part C.

Find the force exerted on the board by the supporting structure at point B.

Give the vertical component of the requested force with Up as positive.

Explanation / Answer

here,

a)

the torque about the front support post (B) of a diving board , Tb = - 56 * 9.81 * 2.9 N.m

Tb = - 1590 N.m

b)

the force exerted on the board by the supporting structure at point A be FA

equating the torque about B

FA * d = 56 * 9.81 * (L + d) + 250 * (L+d)/2

FA * 0.91 = 56 * 9.81 * ( 0.91 + 2.9) + 250 * ( 0.91 + 2.9)

FA = 3338 N downwards

c)

the force exerted on the board by the supporting structure at point B be Fb

equating the forces vertically

Fb = Fa + 250 + 56 * 9.81

Fb = 3338 + 250 + 56 * 9.81 = 4137.4 N upwards

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