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How much upward force does support 1 and support 2 exert on the beam?

A 3.0-m-long rigid beam with a mass 110 kg is supported at each end. An 90 kg student stands 2.0 m from support 1.
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Alize Kuhn

Feb 20, 2025

110 x 9.8 = 1078 N90 x 9.8 = 882 NT1 = (1078 x (3/2)) + (882 x 1) = 2499 2499 = 3T12499/3 = T1 = 833 N (support 1)T2 = (1078 x (3/2)) + (882 x 2) = 33813381 = 3T23381/3 = T2 = 1127 N (support 2)... Show More
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A
Alize Kuhn

Feb 20, 2025

weight of beam = (110)(9.81) = 1079 Nthis weight is shared (equally) by each support = 1079/2 = 539.55 Nweight of student = (90)(9.81) = 882.9 N882.9 is shared 1/3 to 2/3 between supports 1 & 2:support 1 => 882.9/3 = 294.3 Nsupport 2 => 882.9(2/3) = 588.6 NTotal Load Bearing is:support 1 = 294.3 + 539.55 = 834 N ANSsupport 2 = 588.6 + 539.55 = 1130 N ANS... Show More
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