QUESTION 11 1 points Save Answer A 3 m long uniformly dense cantilever with a ma

Question

QUESTION 11 1 points Save Answer A 3 m long uniformly dense cantilever with a mass of 250 kg is attached to a hinge and also held in place by a steel cable that is attached to the far end of the cantilever at an angle of = 30° with respect to the cantilever as shown in the figure. A 5 kg mass also hangs from the far end of the cantilever. hinge What is the tension (in N) in the cable? QUESTION 12 1 points Save Answer A 3 m long uniformly cantilever with a mass of 250 kg is attached to a hinge and also held in place by a steel cable that is attached to the far end of the cantilever at an angle of = 30° with respect to the cantilever as shown in the figure. A 5 kg mass also hangs from the far end of the cantilever. hinge What is the magnitude of the force (in N) that the hinge exerts on the cantilever?

Explanation / Answer

11. balancing moment about the hinge point,

M = (L/2)(250 g) + (5 L g) - (L T sin30) = 0

T = 2548 N ....Ans

12. Fx = T cos30 = 2206.6 N  

Fy + T sin30 - (250 + 5)(9.8) = 0

Fy = 1225 N  

F = sqrt[ Fx^2 + Fy^2] = 2524 N

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