A weight W is supported by attaching it to a vertical uniform metal pole by a thin cord passing over a pulley having negligible mass and friction. The cord is attached to the pole 40.4 cm below the top and 37.09 pulls horizontally on it. The pole is pivoted about a hinge at its base, is 1.74 m tall, and weighs 54.3 N. A thin wire connects the top of the pole to a vertical wall. The nail that holds this wire to the wall will pull out if an outward force greater than 22.0 N acts on it. (a) What is the greatest weight W that can be supported this way without pulling out the nail? (b) What is the magnitude of the force that the hinge exerts on the - Hinge pole?

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Chapter8: Rotational Motion
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Problem 74A
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A weight W is supported by attaching it to a vertical uniform metal
pole by a thin cord passing over a pulley having negligible mass and
friction. The cord is attached to the pole 40.4 cm below the top and
37.09
pulls horizontally on it. The pole is pivoted about a hinge at its base,
is 1.74 m tall, and weighs 54.3 N. A thin wire connects the top of
the pole to a vertical wall. The nail that holds this wire to the wall
will pull out if an outward force greater than 22.0 N acts on it.
(a) What is the greatest weight W that can be supported this way
without pulling out the nail?
(b) What is the magnitude of the force that the hinge exerts on the
pole?
- Hinge
Transcribed Image Text:A weight W is supported by attaching it to a vertical uniform metal pole by a thin cord passing over a pulley having negligible mass and friction. The cord is attached to the pole 40.4 cm below the top and 37.09 pulls horizontally on it. The pole is pivoted about a hinge at its base, is 1.74 m tall, and weighs 54.3 N. A thin wire connects the top of the pole to a vertical wall. The nail that holds this wire to the wall will pull out if an outward force greater than 22.0 N acts on it. (a) What is the greatest weight W that can be supported this way without pulling out the nail? (b) What is the magnitude of the force that the hinge exerts on the pole? - Hinge
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