- #1
BOAS
- 553
- 19
Hello,
I think I know how to do this question, but i'd really like to check that I'm interpreting what the question means correctly.
The drawing shows a baggage carousel at the airport. Your suitcase has not slid all the way down the slope and is going around at a constant speed on a circle (r = 11.0m) as the carousel turns. The coefficient of static friction between the suitcase and the carousel is 0.760 and the angle θ of the slope is 36°. How much time is required for your suitcase to go around once?
I can't provide the picture, but it is simply a cone with a slope of 36° to the horizontal with a suitcase partway down the sloped surface.
The question provides a coefficient of static friction but since the suitcase isn't moving relative to the carousel, surely there's no friction, right?
I've drawn free body diagrams and summed my forces in the x and y direction which all boil down to tanθ = v2 / rg Which is easily solvable for v and then simple enough to find time period T.
I'm just a bit worried that I haven't used the information about friction in the question, but I can't actually see a reason to...
Thanks!
I think I know how to do this question, but i'd really like to check that I'm interpreting what the question means correctly.
Homework Statement
The drawing shows a baggage carousel at the airport. Your suitcase has not slid all the way down the slope and is going around at a constant speed on a circle (r = 11.0m) as the carousel turns. The coefficient of static friction between the suitcase and the carousel is 0.760 and the angle θ of the slope is 36°. How much time is required for your suitcase to go around once?
Homework Equations
The Attempt at a Solution
I can't provide the picture, but it is simply a cone with a slope of 36° to the horizontal with a suitcase partway down the sloped surface.
The question provides a coefficient of static friction but since the suitcase isn't moving relative to the carousel, surely there's no friction, right?
I've drawn free body diagrams and summed my forces in the x and y direction which all boil down to tanθ = v2 / rg Which is easily solvable for v and then simple enough to find time period T.
I'm just a bit worried that I haven't used the information about friction in the question, but I can't actually see a reason to...
Thanks!