A block of weight is suspended from the center of a horizontal ruler of negligib

Question

A block of weight is suspended from the center of a horizontal ruler of negligible mass. The ruler is supported at its right-hand end by a cable at an angle = 20.0 from the horizontal and at its left-hand end by a hinge at point .Rank the following forces in order of their magnitude, from largest value to smallest value. The weight w of the mass, the tension in the cable, the vertical component of the force exerted on the ruler by the hinge, and the horizontal component of the force on the ruler exerted by the hinge. Thank you!!!

Explanation / Answer

W be the weight , T the tension and Hv vertical component,Hh horizontal comp of hinge force

W = Tsin20 + Hv

balance of moments abt hinge

Tsin20*L = W*L/2 ==> W/T = 2sin20 = 0.684 ==> T>W ==> T = 1.46W

Tcos20 = Hh = 1.37W

balance of moment abt cable end ==> W0.5L = Hv*L ==> W/Hv = 2 ==> Hv = 0.5W

T>Hh>W>Hv

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