Analyzing Forces in Circular Motion: Ramp and Ball System

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Homework Help Overview

The discussion revolves around analyzing the forces acting on a ball rolling down a quarter circular ramp. The problem involves understanding the forces exerted by the ramp on the ball and vice versa, while considering the effects of gravity and the absence of friction and air resistance.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the net force acting on the ball, with some referencing the relationship between centripetal force and gravitational force. Others question the clarity of the original poster's approach and encourage a more detailed explanation of their reasoning.

Discussion Status

The discussion is ongoing, with participants providing guidance on relevant concepts such as gravitational potential energy, kinetic energy, and Newton's laws. There is an emphasis on clarifying the definitions and roles of different forces involved in the scenario.

Contextual Notes

Participants note the importance of making an initial attempt at a solution as per forum rules, and there is a focus on ensuring that all relevant forces are properly accounted for in the analysis.

tbear
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Homework Statement



A ball rolls down a ramp which forms a quarter circle of radius 0.5m. The ball weighs 25g. The bottom of the ramp is 1.5m above the floor. Assume no friction between the ball and the ramp. Assume no air resistance.

  • what is the force exerted by the ramp on the ball?
  • whatis the force exerted by the ball on the ramp?

Homework Equations

The Attempt at a Solution

 
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Welcome to the forum. Forum rules require you to make an attempt at a solution. That's why there is a part 2 and 3 on the template. Doesn't matter if you get stuck just give it a go first.
 
I used Fnet = Fcircular+ Fg
 
tbear said:
I used Fnet = Fcircular+ Fg
That force, in which body is acting? Are they components or your equatin is a vector equation. Try to explain your approach in words so we can help you.
 
tbear said:

Homework Statement



A ball rolls down a ramp which forms a quarter circle of radius 0.5m. The ball weighs 25g. The bottom of the ramp is 1.5m above the floor. Assume no friction between the ball and the ramp. Assume no air resistance.

  • what is the force exerted by the ramp on the ball?
  • whatis the force exerted by the ball on the ramp?

Homework Equations

The Attempt at a Solution

Where is your attempted solution?
I would be considering Gravitational Potential Energy (mgh). Kinetic Energy (1/2.m.v^2) and Centripetal Force (m.v^2 / R) at various places along the ramp.
Newton's Laws - especially the 3rd - could be useful at times too.
 
tbear said:
I used Fnet = Fcircular+ Fg
What do you mean by Fcircular? If you mean centripetal force, that is not an applied force. It is the radial component of the resultant force, i.e. the component of the resultant force that is normal to the velocity. So you would not add it to Fg.
 

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