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A uniform 35.5-kg beam of length ℓ = 5.60 m is supported by a vertical rope...

A uniform 35.5-kg beam of length ℓ = 5.60 m is supported by a vertical rope located d = 1.20 m from its left end as in the figure below. The right end of the beam is supported by a vertical column.

(a) Find the tension in the rope.

(b) Find the force that the column exerts on the right end of the beam. (Enter the magnitude.)

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Answer #1

a) center of mass = l / 2 = 5.60 / 2 = 2.8 m

Balancing torque

T (l - d) = m g (l/2)

T (5.60 - 1.2) = 35.5 * 9.8 * 2.8

T = 221 N

b) sigma Fy = 0

221 + F - (35.5 * 9.8) = 0

F = 126.9 N

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