Rotational motion problems involving radians

Click For Summary
SUMMARY

The discussion centers on solving rotational motion problems involving radians, specifically in the context of conservation of energy and torque. The participant questions the application of a 90-degree angle in the problem, relating it to the concepts of rolling without slipping and the relationship between torque and angular displacement. The conversation highlights the importance of understanding how changing normal forces affect friction and torque, which are crucial for accurately solving these types of physics problems.

PREREQUISITES
  • Understanding of rotational and translational energy principles
  • Familiarity with torque calculations in rotational motion
  • Knowledge of conservation of energy in mechanical systems
  • Basic grasp of radians and angular displacement
NEXT STEPS
  • Study the relationship between torque and angular displacement in detail
  • Learn about rolling motion and the conditions for rolling without slipping
  • Explore the effects of changing normal force on friction in rotational systems
  • Investigate simple harmonic motion (SHM) in the context of rotational dynamics
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and rotational motion, as well as educators preparing exam materials related to these topics.

lorkp
Messages
1
Reaction score
0

Homework Statement


The professor gives us an exam preview where he hints at the types of problems via the picture. Attached is the preview. I have a question about pictures 1 and 2. It's probably a problem that involves rotational and translational energy, conservation of energy. If it's rolling without slipping, it would mean a torque problem. What's throwing me off, however, is that he shows that there's a 90 degree angle. But I don't have a concrete reason for why it's applicable. It could do with radians traveled and so it could be a work problem because work = torque * delta theta. However the friction force that provides the torque would be changing because the normal force would be changing, correct? I'm not sure how to account for that.

Any other ideas for a rotational problem that would involve radians?

Thank you


Homework Equations





The Attempt at a Solution

 

Attachments

Physics news on Phys.org
welcome to pf!

hi lorkp! welcome to pf! :smile:
lorkp said:
… What's throwing me off, however, is that he shows that there's a 90 degree angle.

he's simply telling you that the initial angle is 45° (or 135°)

anwyay, since it looks as if the ball is going to be gently nudged into the arc, it looks to me like an shm question :wink:​
 

Similar threads

Forces when car wheels "lay rubber"
  • · Replies 5 ·
Replies
5
Views
2K
Applying Force on a Cylinder at an Angle
  • · Replies 8 ·
Replies
8
Views
1K
Circular Motion: A coin on a rotating disk
  • · Replies 19 ·
Replies
19
Views
4K
Possible to use work-energy theorem from a non-inertial frame?
  • · Replies 1 ·
Replies
1
Views
2K
Angular momentum conservation on a merry-go-round
  • · Replies 5 ·
Replies
5
Views
2K
Minimal rotational kinetic energy for a gyroscope to precess
  • · Replies 33 ·
2
Replies
33
Views
3K
Kinetic Energy of a Cylinder Rolling Without Slipping
  • · Replies 21 ·
Replies
21
Views
5K
Rotational Motion Problem with Varying Centripetal Force and Friction
  • · Replies 10 ·
Replies
10
Views
2K
Understanding work in translation and rotation of a magnetic dipole
  • · Replies 1 ·
Replies
1
Views
2K
Simple Harmonic Motion Experiment Problem
  • · Replies 2 ·
Replies
2
Views
2K