Frictionless ball in a rotating reference frame.

In summary, in a rotating frame of reference, a frictionless ball on a circular disc will appear to be moving in a circular path with its center at the center of the disc. However, due to the presence of a centrifugal force acting outwards and a Coriolis force acting inwards, the ball will actually rotate in the opposite direction compared to the Earth frame. The Coriolis force can be thought of as a "fictitious" centripetal force.
  • #1
sbhit2001
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0

Homework Statement


Imagine that a circular disc is rotating with a frictionless ball on it( ball is not at center of the disc) If we observe the motion of the ball from the rotating frame of reference, then how can we describe its motion?



Homework Equations





The Attempt at a Solution



As the motion of the ball is being observed from the rotating frame of reference, a centrifugal force must act on it but i know that it will appear as if the ball is moving in a circular path with its center at the center of the disc. If the net force on the ball is towards outside(centrifugal force), then how can it rotate because it has no inward acting fictitious centripetal force.. Please help...
 
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  • #2
Besides the centrifugal force, there is another "fictitious" force acting on the ball.
 
  • #3
welcome to pf!

hi sbhit2001! welcome to pf! :smile:
sbhit2001 said:
Imagine that a circular disc is rotating with a frictionless ball on it( ball is not at center of the disc) If we observe the motion of the ball from the rotating frame of reference, then how can we describe its motion?

… i know that it will appear as if the ball is moving in a circular path with its center at the center of the disc. If the net force on the ball is towards outside(centrifugal force), then how can it rotate because it has no inward acting fictitious centripetal force.

yes, it's frictionless, so it should stay where it is in the Earth frame, which means that it rotates "the wrong way" in the rotating frame

this is the same as what happens to houses etc if you're standing on a rotating turntable …

as you say, there's a centrifugal force outwards, but there's also a Coriolis force inwards, which in this case is … ? :wink:
 

1. What is a frictionless ball in a rotating reference frame?

A frictionless ball in a rotating reference frame is a theoretical concept in which a ball is placed in a rotating system with no external forces acting on it. This means that the ball experiences no friction or resistance as it moves within the system.

2. What is the importance of studying a frictionless ball in a rotating reference frame?

Studying a frictionless ball in a rotating reference frame allows us to understand the fundamental principles of motion and how they apply in different situations. It also helps us to develop and test theories and models for predicting the behavior of objects in rotating systems.

3. How does the speed of the rotating reference frame affect the motion of the frictionless ball?

The speed of the rotating reference frame does not affect the motion of the frictionless ball. This is because, in a frictionless system, the ball will continue to move with a constant velocity unless acted upon by an external force.

4. Can a frictionless ball in a rotating reference frame experience acceleration?

Yes, a frictionless ball in a rotating reference frame can experience acceleration. This can occur if the ball is acted upon by a force, such as gravity or a push from another object, causing its velocity to change.

5. What are some real-world applications of a frictionless ball in a rotating reference frame?

One real-world application is in the study of planetary motion. The planets in our solar system can be approximated as frictionless balls in a rotating reference frame as they orbit around the sun. This allows scientists to make predictions and understand the dynamics of the solar system. Additionally, the concept of a frictionless ball in a rotating reference frame is used in engineering and design to simulate and analyze the behavior of objects in rotating systems, such as turbines or gears.

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