How Do Force and Friction Affect a Rolling Wheel's Motion?

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SUMMARY

The discussion centers on calculating the applied force and frictional force acting on a 3kg solid wheel with a rotational inertia of (MR^2)/2, rolling without slipping on a horizontal surface. The wheel experiences an acceleration of 2.0 m/s² due to a horizontal force applied at its center of mass. Participants emphasize using Newton's 2nd law to derive the forces involved, confirming the assumption that the applied force is horizontal and directed to the right.

PREREQUISITES
  • Understanding of Newton's 2nd law of motion
  • Knowledge of rotational inertia and its formula (MR^2)/2
  • Familiarity with the concept of rolling motion without slipping
  • Basic grasp of force diagrams and free-body analysis
NEXT STEPS
  • Calculate the net force acting on the wheel using Newton's 2nd law
  • Explore the relationship between linear acceleration and angular acceleration for rolling objects
  • Investigate the effects of friction on rolling motion and its role in preventing slipping
  • Learn about torque and its application in rotational dynamics
USEFUL FOR

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

brad sue
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HI ,I don't get the correct answer the the following problem.


A 3kg solid wheel , rolling without slipping on a horizontal surface has a rotational inertia about its given by (MR^2)/2, where M is its mass and R its radius, A force applied to the axle and the center of mass has an acceleration of 2.0m/s^2.
What are the magnitudes of the applied force and the frictional force of the surface?


Here I can not visualize how the force is applied

Thank you
 
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Although not specified, I assume the applied force is horizontal. So I visualize the setup like so: Imagine the disk rolling to the right. The force is applied directly at the center of the disk (imagine a chain attached to the axle) and points to the right. You are given the acceleration. Use that info to figure out the forces (using Newton's 2nd law).
 
Doc Al said:
Although not specified, I assume the applied force is horizontal. So I visualize the setup like so: Imagine the disk rolling to the right. The force is applied directly at the center of the disk (imagine a chain attached to the axle) and points to the right. You are given the acceleration. Use that info to figure out the forces (using Newton's 2nd law).

OK thanks Doc. Now I will try to solve it!

B
 

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