A 10 kg dinosaur sign is to be hung from a long thin rod. The rod is attached to the wall by a hinge at point P and has a cable at the far end attached to the wall at a height h above P. The rod is 10.0 m long and held horizontal by the cable that makes an angle with the rod of 53 degrees. It also has a mass of 4.0 kg. a) How far along the rod should the sign be fastened such that the tension in the cable is to be 125 N (relative to the wall)? b) If the cable was accidentally cut what would the angular momentum of the system be when the rod was 30 degrees below the horizontal before smashing into Caroline's Dino-Store window (model the sign as a particle)? h P L. Caroline's Dino-Store

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IMPORTANT:

  1. Can you identify the relevant physical principles and summarize them in words?
  2. Please draw a diagram for the object. Include all the forces, the distance from pivot point they are acting and the angle that each is being applied.
  3. Please write out the rotational equivalent of Newton's Second Law as it pertains to this problem.
  4. Please provide a final answer with the correct number of significant digits, the appropriate units and an explanation.

 

A 10 kg dinosaur sign is to be hung from a long thin rod. The rod is attached to the wall by a hinge at point P
and has a cable at the far end attached to the wall at a height h above P. The rod is 10.0 m long and held
horizontal by the cable that makes an angle with the rod of 53 degrees. It also has a mass of 4.0 kg.
a) How far along the rod should the sign be fastened such that the tension in the cable is to be 125 N
(relative to the wall)?
b) If the cable was accidentally cut what would the angular momentum of the system be when the rod
was 30 degrees below the horizontal before smashing into Caroline's Dino-Store window (model the
sign as a particle)?
h
P
L.
Caroline's
Dino-Store
Transcribed Image Text:A 10 kg dinosaur sign is to be hung from a long thin rod. The rod is attached to the wall by a hinge at point P and has a cable at the far end attached to the wall at a height h above P. The rod is 10.0 m long and held horizontal by the cable that makes an angle with the rod of 53 degrees. It also has a mass of 4.0 kg. a) How far along the rod should the sign be fastened such that the tension in the cable is to be 125 N (relative to the wall)? b) If the cable was accidentally cut what would the angular momentum of the system be when the rod was 30 degrees below the horizontal before smashing into Caroline's Dino-Store window (model the sign as a particle)? h P L. Caroline's Dino-Store
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