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(2 questions) 1.) A uniform steel beam has a mass of 900 kg. On it is resting ha

ID: 1299048 • Letter: #

Question

(2 questions)

1.) A uniform steel beam has a mass of 900 kg. On it is resting half of an identical beam, as shown in Fig. 9-44. What is the vertical support force at each end?

2.)How far out on the diving board (Fig. 9-42) would a 67 kg diver have to be to exert a torque of 1200 m

1.) A uniform steel beam has a mass of 900 kg. On it is resting half of an identical beam, as shown in Fig. 9-44. What is the vertical support force at each end? Left end right end 2.)How far out on the diving board (Fig. 9-42) would a 67 kg diver have to be to exert a torque of 1200 m·N on the board, relative to the left (A) support post?

Explanation / Answer

FN * L = M g / 2 * L/4 + M g L / 2

FN = M g / 8 + M g / 2 = 5 M g / 8

= (5 * 900 * 9.8) / 8

= 5512.5 N = 5.5 * 103 N

Taking moment at B

FN * L = M g / 2 * 3 L/4 + M g L / 2

FN = 7 M g / 8

= (7 * 900 * 9.8) / 8 = 7718 N

= 7.7 * 103 N

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F = (67 kg) (9.8 ) = 656.6 N

(656.6 N) (d) = 1200 N m

d = 1.828 m