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The normal force exerted on a small sphere

by thedaydreamer
Tags: exerted, force, normal, sphere
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thedaydreamer
#1
Nov19-10, 08:13 AM
P: 6
1. The problem statement, all variables and given/known data
A small sphere A of radius r and mass m rolls without slipping inside a large hemispherical bowl of radius R. The sphere A starts from rest at the top point on the rim of the hemisphere. Find the normal force exerted by small sphere when it touches the bottom of the hemisphere.




2. The attempt at a solution I'm unsure of how to approach this problem. I tried to use Conservation of Energy to find the velocity of the sphere but I dunno how that will help. I tried to use the fact that the relative acceleration to the inner surface of the bowl at the point of contact=0. This way I can find the frictional force but not the maximum normal force.
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tiny-tim
#2
Nov19-10, 08:28 AM
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tiny-tim's Avatar
P: 26,148
hi thedaydreamer!
Quote Quote by thedaydreamer View Post
I tried to use Conservation of Energy to find the velocity of the sphere but I dunno how that will help. I tried to use the fact that the relative acceleration to the inner surface of the bowl at the point of contact=0. This way I can find the frictional force but not the maximum normal force.
yes, use conservation of energy (including rotational energy) to find the speed, then use Ftotal = ma to find N, where a is the centripetal acceleration
thedaydreamer
#3
Nov19-10, 11:57 PM
P: 6
Thank you tiny-tim. I should've noticed that myself. :)


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