Home » Ask & Discuss » Physics
« Back to Discussion

Mechanics

Hot goIITian

Joined:	24 Jun 2012
Post:	177

12 Jul 2012 21:41:07 IST

0 People liked this

207

Engineering Entrance , Medical Entrance , AIPMT , JEE Main , AIIMS , JEE Advanced , Physics , Mechanics , Kinematics , NewtonsLawsCirMotion , Work Power Energy collisions , Rotation , Gravitation , Simple Harmonic Motion , Fluid Mechanics , Materials Wave Sound , Super Position , units dimensions , com momentum , shm , wave sound

a particle is placed at rest inside a hollow hemisphere of radius "R". the coefficient of friction between the particle and hemisphere is 1/root3 .the maximum height upto which particle can remain stationary?

plz give steps

Comments (1)

Sagar Saxena

Blazing goIITian

Joined: 8 Oct 2008

Posts: 8064

31 Jul 2012 16:58:07 IST

Like 0 people liked this

hello,

let it be h from top.now makes the f.b.d. of particle and let the angle between normal (exerted by hemisphere) and vertical be .

then-n=mgcos.................eq.1

f=mgsin=========>1/root 3 n=mgsin...........eq.2

dividing eq.2 and eq.1.............

1\root3=tan============>=30 degree

hence cos=h/r======>r*root3/2=h and hence from ground height is r-h=r-r*root3/2 ans.

Quick Reply

Reply

	Some HTML allowed.
	Keep your comments above the belt or risk having them deleted.
	Signup for a avatar to have your pictures show up by your comment
	If Members see a thread that violates the Posting Rules, bring it to the attention of the Moderator Team