Question on Rotational Dynamics

In summary, the conversation discusses the time taken for a uniform disc to come to rest when placed on a rough table, and how the kinetic energy of rotation of the disc varies with time. The formula for calculating work done by friction is also mentioned.
  • #1
alamin
8
0
1.A uniform Disc of Radius R is rotating in its own plane with angular velocity w when it is placed flat on a rough table. If u the coefficient of sliding friction is independent of velocity show that the time taken for the disc to come to rest is
(3RW)/(4ug). How does the kinetic energy of rotation of the disc vary with time?
 
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  • #2
ok please show us what work you have done. we arent going to solve (although we can) your problems for you
also for your problems remember that
[tex] \Delta K + \Delta U = W_{friction} [/tex]
where K represnets kinetic energy
U represnts potential energy
and W represents work
and delta is the change
 
  • #3
May I know what is the formula to calculate work done by frcition? Displacement is given in the case, but the friction force is not.
 
  • #4
work done is F d cos(angle)
if angular then d = (angular displacement)
 
  • #5
stunner5000pt said:
work done is F d cos(angle)
if angular then d = (angular displacement)
I thought the work done by the friction force is [tex]\int \vec{\tau} \cdot d\vec{\theta}[/tex]?
 
Last edited:
  • #6
Psi-String,

We appreciate that you are willing to assist, but please do not offer complete solutions to homework questions.

Just to remind everyone, the Homework Help section of the PF Global Guidelines says the following:

On helping with questions: Any and all assistance given to homework assignments or textbook style exercises should be given only after the questioner has shown some effort in solving the problem. If no attempt is made then the questioner should be asked to provide one before any assistance is given. Under no circumstances should complete solutions be provided to a questioner, whether or not an attempt has been made.
 

FAQ: Question on Rotational Dynamics

What is rotational dynamics?

Rotational dynamics is the study of the motion and behavior of objects that are rotating around an axis. It involves understanding concepts such as torque, angular velocity, and moment of inertia.

How does rotational motion differ from linear motion?

Rotational motion involves moving on a circular path around a fixed point, while linear motion involves moving in a straight line. In rotational motion, objects also have angular velocity and angular acceleration instead of linear velocity and linear acceleration.

What is torque and how does it affect rotational motion?

Torque is the measure of the turning force on an object. It is calculated by multiplying the force applied to an object by the distance from the point of rotation. In rotational motion, torque causes objects to rotate and can change the object's angular velocity and direction of rotation.

How is angular momentum related to rotational dynamics?

Angular momentum is a measure of an object's resistance to a change in rotational motion. It is directly proportional to the moment of inertia and angular velocity of an object. In rotational dynamics, angular momentum is conserved in the absence of external torques.

What is the role of moment of inertia in rotational dynamics?

Moment of inertia is a measure of an object's resistance to changes in rotational motion. It depends on the object's mass and distribution of mass around the axis of rotation. The larger the moment of inertia, the more force is needed to cause rotational motion in an object.

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