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

In summary, the conversation discusses a disc of mass 'm' on a rough horizontal plane, with a light string wound onto the disc applying a horizontal force 'T' to cause it to roll without slipping. It is shown that the acceleration of the disc's center from rest is equal to 4T/3m. When T = mg, the coefficient of friction required to prevent slipping is calculated, and it is discussed whether the friction force on the disc acts in the direction of T or in the opposite direction. In general, to solve similar problems, one should draw a freebody diagram and use equations that relate force to the motion of the object.
  • #1
joshuad
5
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
 
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  • #2
After drawing yourself a freebody diagram , think about what equations have you been told that relates the force to the motion of the object.
 

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

1. What is the concept of moments of inertia?

Moments of inertia refer to the measure of an object's resistance to changes in its rotational motion. It is a property that is dependent on an object's mass distribution and the axis of rotation.

2. How is moment of inertia different from mass?

Moment of inertia and mass are two different concepts. Mass is a measure of an object's quantity of matter, while moment of inertia is a measure of an object's resistance to rotational motion.

3. How is moment of inertia calculated?

The moment of inertia for a point mass is calculated by multiplying the mass of the object by the square of its distance from the axis of rotation. For an extended object, the moment of inertia is calculated by integrating the mass distribution over the object's volume or surface area.

4. What is the significance of moments of inertia in physics?

Moments of inertia play a crucial role in rotational dynamics and are essential in the study of rotational motion, such as in the movement of objects like wheels, gears, and pendulums. They also have applications in engineering, particularly in the design of structures and machinery.

5. How can the moment of inertia of an irregularly shaped object be determined?

The moment of inertia of an irregularly shaped object can be determined by using mathematical equations or by conducting experiments such as the parallel axis theorem or the physical pendulum method.

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