標題:
Simple moment question
發問:
http://holland.pk/1Pd5
最佳解答:
(a) Take moment about C 9 x 80 = 180M i.e. M = 4 kg (b) For vertical equilibrium, R1 + R2 = 8 + 5 i.e. R2 = 13 - R1 ---------------- (1) Take moment about the point where R2 acts R1(7+4+2) = 8 x (7+2) + 5 x 2 i.e. R1 = 6.308 N From (1): R2 = (13 - 6.308) N = 6.692 N (c) Assume the 80 kg block is moved to the right by a distance of L to make the right string just break. Hence, the tension in the left string = (800 + 100 - 680) N = 220 N Take moment about the middle of the beam 800L + 220 x 4 = 680 x 2 hence, L = 0.6 m The block needs to move 0.6 m from the middle of the beam to break the string.
Simple moment question
發問:
http://holland.pk/1Pd5
最佳解答:
(a) Take moment about C 9 x 80 = 180M i.e. M = 4 kg (b) For vertical equilibrium, R1 + R2 = 8 + 5 i.e. R2 = 13 - R1 ---------------- (1) Take moment about the point where R2 acts R1(7+4+2) = 8 x (7+2) + 5 x 2 i.e. R1 = 6.308 N From (1): R2 = (13 - 6.308) N = 6.692 N (c) Assume the 80 kg block is moved to the right by a distance of L to make the right string just break. Hence, the tension in the left string = (800 + 100 - 680) N = 220 N Take moment about the middle of the beam 800L + 220 x 4 = 680 x 2 hence, L = 0.6 m The block needs to move 0.6 m from the middle of the beam to break the string.
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