Net Torque Calculation: Beam & Ring

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SUMMARY

The forum discussion focuses on calculating net torque for a uniform beam and a ring. For the beam, a 3 m long, 95 kg beam has a pivot point at the 2 m mark, with a 530 N force applied at a 40-degree angle from the vertical. The user calculated the downward force of the beam as 931 N and attempted to compute the torque using the cross product method but arrived at incorrect results. For the ring, which weighs 5.5 kg and experiences 75 N of friction, the user also struggled with torque calculations involving a 122 N force. Ultimately, the user discovered that the answer sheet contained errors, contributing to their confusion.

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FilthyOtis
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Question:

Evaluate the net torque about the pivot point for each of the following. For the third dimension, use a z axis pointing out of the paper.

a) a 3 m long, 95 kg uniform beam.

there's a picture to go along with it which I will describe as best I anthe 3 m long beams pivot point( P ) is at the 2 m mark. at the 3 m mark there's a force of 530 N pulling at 40 from the vertical, below the horizontal. I tried to represent that angle with a crude picture here. the \'s represent the 530N force.

edit: after posting I noticed that this picture didn't turn out at all. just imagine there's a straight line pointing down at the 3m mark and the force of 530 N pulling 40 degrees to the right of that line.

0m 2m 3m
=================
P | \
| \
| 40 \
So here's what I've tried but I'm not getting the correct answer.

I tried saying that if its a 95 kg uniform beam then that means there's a force of 95*9.8 = 931 N pulling down at it's center, the 1.5m mark .5 m from the pivot point. I tried adding up the cross products

(1m)(530N)sin40 - (.5m)(931N)sin90 = the wrong answer

I also tried replacing sin40 with sin50 thinking maybe that was the angle I should be using but it still doesn't give me the correct answer. That's as far as I made it with that question before moving onto the next one which also stumped me :)b) a 5.5 kg ring spun on a shaft with 75 N of friction at the axle.

diameter of shaft = 8.5 cm
diameter of ring = 36 cm

the picture shows a ring or wheel with a shaft through the center. there's a force arrow wrapping around the ring or wheel pointing to the right with 122 N.

Again I can't get the correct answer, I tried the same method as with the other problem... I'm not sure what I'm missing here.

rings radius is .18 m and the radius of the shaft is .0425 m.

so I did

(122 N)(.18 m)sin90 - (75 N)(.0425 m)sin90 = wrong answerCan anyone please give a nudge in the right direction, what am I missing? thank you!

- Otis
 
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I see why I had the wrong answer.. the answer sheet had errors. Sooo frustrating :D
 

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