Finding Acceleration and Coefficient of Friction for Rolling Disc on Rough Plane

Click For Summary
SUMMARY

The discussion focuses on calculating the acceleration and coefficient of friction for a disc rolling on a rough plane under the influence of a tension force 'T'. It is established that the acceleration of the disc's center is given by the formula 4T/3m. When T equals mg, the required coefficient of friction to prevent slipping is derived, with the friction force acting opposite to the direction of T due to the need to counteract the rotational motion of the disc.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concepts of moment of inertia
  • Knowledge of frictional forces and their directionality
  • Basic principles of rotational dynamics
NEXT STEPS
  • Study the derivation of the moment of inertia for various shapes
  • Learn about the dynamics of rolling motion and its equations
  • Explore the relationship between tension, friction, and acceleration in rolling objects
  • Investigate the applications of friction in real-world scenarios involving rolling bodies
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in the dynamics of rolling motion and frictional forces in mechanical systems.

joshuad
Messages
5
Reaction score
0
A disc of mass 'm' rests on a rough horizontal plane. A light string that is wound onto the disc applies a horizontal force 'T' to the disc, which causes it to roll without slipping.

a) Show that the acceleration from rest of the centre of the disc is = 4T/3m

b) When T = mg, calculate the coefficient of friction that is required between
disc and plane to ensure that there is no slip. Does the friction force on the disc act
in the direction of T or in the opposite direction and why?

Please help! How would you go about solving this + moment of inertia questions in general Thankss
 
Physics news on Phys.org
After drawing yourself a freebody diagram , think about what equations have you been told that relates the force to the motion of the object.
 

Similar threads

  • · Replies 42 ·
2
Replies
42
Views
4K
  • · Replies 49 ·
2
Replies
49
Views
10K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
Replies
13
Views
2K
  • · Replies 97 ·
4
Replies
97
Views
6K
  • · Replies 10 ·
Replies
10
Views
8K
  • · Replies 5 ·
Replies
5
Views
3K
Replies
11
Views
1K
  • · Replies 7 ·
Replies
7
Views
3K