Net Torque Calculation: Beam & Ring

AI Thread Summary
The discussion revolves around calculating net torque for a uniform beam and a ring under specific forces. For the beam, the user attempts to calculate torque using the force of gravity and an applied force at an angle but struggles to arrive at the correct answer, suspecting errors in the answer sheet. In the second part, the user faces similar difficulties with a ring experiencing friction and an applied force, using the same torque calculation method but still obtaining incorrect results. The user expresses frustration over potential errors in the provided answer sheet. Clarification on the calculations and angles used is sought to resolve the misunderstandings.
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.

theres 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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