Question now has a picture to match

  • Thread starter Thread starter foxandthehen
  • Start date Start date
  • Tags Tags
    Match Picture
Click For Summary
SUMMARY

The discussion centers on calculating the angular acceleration of a disk with a radius of 0.05m, positioned at a 30-degree angle to the vertical, on a conveyor belt with a constant speed. The coefficient of kinetic friction between the disk and the belt is 0.2, and there is no bearing friction. Key formulas utilized include τ = I * α for torque and moment of inertia, and the user successfully determined the angular acceleration using the formula Angular acceleration = (1/r)(Vbelt/dt). The problem-solving process was simplified after overcoming initial confusion.

PREREQUISITES
  • Understanding of angular motion and acceleration
  • Familiarity with torque and moment of inertia
  • Knowledge of friction coefficients and their implications in motion
  • Basic principles of dynamics and free body diagrams
NEXT STEPS
  • Study the derivation of torque and its relationship to angular acceleration
  • Learn about the moment of inertia for various shapes and how to calculate it
  • Explore the effects of friction on rotational motion in different scenarios
  • Practice drawing and interpreting free body diagrams for complex systems
USEFUL FOR

Students in physics or engineering, mechanical engineers, and anyone interested in understanding rotational dynamics and the effects of friction on motion.

foxandthehen
Messages
13
Reaction score
0
http://img60.imageshack.us/img60/7782/question6jh6.png

The axis of a disk with radius of 0.05m is fitted into a slot that forms an angle of 30degs with the vertical axis. The disk is at rest when it is placed in contact with a convayor belt moving at contsant speed. The coefficient of kenetic friction between the disk and the belt is 0.2 and there is no bearing friction.

a) Express the acceleration of the center of mass of the body, and its angular acceleration

b) Draw a free body diagram showing the applie forces and the eqivalent force diagram showing the vectror 'ma' or its conponents and 'Ia'

c) Write the three equations of motion and use them to determine the angular acceleration of the disk while slipping occurs.

------------------------

HELP! Where should I start? Any help and advice would be very much appreciated.
 
Last edited by a moderator:
Physics news on Phys.org
Well, you're being asked for angular acceleration. What formula do you know for that?

That's right... tau = I * alpha, in other words, alpha = tau / I, where alpha is the angular acceleration, tau is the torque, and I is the moment of inertia. Does that get you started?
 
Hi! Thanks for the answer! I managed to do and hand it in yesterday and it was really quite simple in the end, think I just had a mental block about it! lol.
oh and I used Angular acceleration = (1/r)(Vbelt/dt) :D
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 6 ·
Replies
6
Views
9K
  • · Replies 7 ·
Replies
7
Views
6K
Replies
34
Views
5K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 5 ·
Replies
5
Views
8K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 20 ·
Replies
20
Views
5K
  • · Replies 1 ·
Replies
1
Views
1K