Motion in a Circle: True/False/Less/Greater/Equal

  • Thread starter Thread starter gummybeargirl
  • Start date Start date
  • Tags Tags
    Circle Motion
Click For Summary
SUMMARY

The discussion centers on the physics of a mass M attached to a string moving in circular motion on a frictionless table. Key conclusions include that M's kinetic energy at circle y is four times that at circle x, while its angular momentum at x is greater than that at y. Additionally, M's angular velocity at x is one quarter that at y, and the work done by force F while moving from x to y is less than 0. Finally, there is no torque acting on M during this transition.

PREREQUISITES
  • Understanding of circular motion dynamics
  • Knowledge of kinetic energy and angular momentum concepts
  • Familiarity with torque and work-energy principles
  • Basic grasp of frictionless systems in physics
NEXT STEPS
  • Study the relationship between kinetic energy and radius in circular motion
  • Explore angular momentum conservation in different systems
  • Learn about the work-energy theorem in the context of circular motion
  • Investigate the effects of torque in rotational dynamics
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of circular motion and dynamics in a frictionless environment.

gummybeargirl
Messages
22
Reaction score
0

Homework Statement


A small mass M attached to a string slides in a circle (x) on a frictionless horizontal table, with the force F providing the necessary tension (see figure). The force is then increased slowly and then maintained constant when M travels around in circle (y). The radius of circle (x) is twice the radius of circle (y).
1) M's kinetic energy at y is four times that at x.
2) M's angular momentum at x is ... that at y.
3) M's angular velocity at x is one quarter that at y.
4) As M moves from x to y, the work done by F is ... 0.
5) While going from x to y, there is no torque on M
Each has the options of True/False/Less than/Greater than/Equal to

2. The attempt at a solution
1) False
2) Greater than
3) False
4) False
5) True
 

Attachments

  • rotate-table.gif
    rotate-table.gif
    1.3 KB · Views: 827
Physics news on Phys.org
Hey, I just saw your other post too. So, same as that one, could you first explain your reasoning for each answer? It helps a lot in seeing if you got the problem right.
 
Nevermind! I was able to get this one as well. My answer turned out to be
1) true
2) equal to
3) true
4) greater than
5) true
 

Similar threads

  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 21 ·
Replies
21
Views
2K
  • · Replies 25 ·
Replies
25
Views
2K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 7 ·
Replies
7
Views
5K
  • · Replies 9 ·
Replies
9
Views
3K
Replies
1
Views
1K