Calculating the Period Time of a Ball Inside a Ball

  • Thread starter Thread starter asi123
  • Start date Start date
  • Tags Tags
    Ball Period Time
AI Thread Summary
To calculate the period time of a ball inside another ball, it's essential to analyze the equations of motion, considering the densities of both balls and the friction present on the surface. The discussion emphasizes the importance of conservation laws in this scenario. A key point raised is the need to clarify whether there is zero friction between the two balls, as this could significantly impact the calculations. The conversation suggests that understanding the dynamics of the system is crucial for deriving the period time. Overall, a thorough examination of the forces and motion involved is necessary to solve the problem effectively.
asi123
Messages
254
Reaction score
0

Homework Statement



As you can see, I have a ball inside a ball.
One with a density p1 and the other p2.
the ball stand on a surface with friction so it can move without sliding.
they move the ball from its rest point and release it.
I need to figure out the period time, any idea?


Homework Equations





The Attempt at a Solution

 

Attachments

  • 1.jpg
    1.jpg
    20.5 KB · Views: 466
Physics news on Phys.org
asi123 said:
As you can see, I have a ball inside a ball.
One with a density p1 and the other p2.
the ball stand on a surface with friction so it can move without sliding.
they move the ball from its rest point and release it.
I need to figure out the period time, any idea?

Hi asi123! :smile:

(is there zero friction between the balls?)

The only way to approach this is to work out the equations of its motion first.

Hint: lots of things are being conserved. :wink:
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top