Question

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Constants

You are a summer intern for an architectural firm. An 8.00-m-long uniform steel rod is to be attached to a wall by a frictionless hinge at one end. The rod is to be held at 24.0 ∘ below the horizontal by a light cable that is attached to the end of the rod opposite the hinge. The cable makes an angle of 38.0 ∘ with the rod and is attached to the wall at a point above the hinge. The cable will break if its tension exceeds 750 N .

A.

For what mass of the rod will the cable break?

Express your answer with the appropriate units.

B.

If the rod has a mass that is 10.0 kg less than the value calculated in part A, what are the magnitude of the force that the hinge exerts on the rod?

Express your answer with the appropriate units.

C.What is the angle above the horizontal of the force that the hinge exerts on the rod?

Answer 1

The cable makes 38 degrees with the rod

and it makes 62 deg with horizontal

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(A)Take Moment about the Hinge

---------------(1)

Given Max Tension in cable =750 N

ANSWER:

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(B)Given Mass is less than 10 kg from calculated value

so

Use Equation 1 to find new Tension

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Consider all vertical forces

ANSWER:

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Consider all Horizontal Forces

ANSWER:

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ANSWER:

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(C)Direction of R

ANSWER: above horizontal

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