Home » Ask & Discuss » Physics
« Back to Discussion

Mechanics

Hot goIITian

Joined:	15 Oct 2010
Post:	156

5 Apr 2011 20:07:37 IST

0 People liked this

651

ONE HOLLOW N ONE SOLID CYLINDER OF SAME RADIUS R ROOLING DOWN AN INCLINED PLANE. WHICH OF THE FOLLEW

Engineering Entrance , Medical Entrance , NEET , JEE Main , AIIMS , JEE Main & 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

ONE HOLLOW N ONE SOLID CYLINDER OF SAME RADIUS R ROOLING DOWN AN INCLINED PLANE. WHICH OF THE FOLLEWING WILL REACH THE END OF PLAIN FIRST.......PLZ XPLAIN

Comments (1)

Inferno

Blazing goIITian

Joined: 19 Apr 2010

Posts: 359

6 Apr 2011 21:39:32 IST

Like 4 people liked this

Let me just guide you.
Assumptions that i am making :-
1) Incline is having friction (let COF=mu).
2) Masses of both the cylinders are same.
Steps :-
1) Find the friction force acting in the two cases.
2) Calculate the torque due to the two frictional forces.
3) Equate the torques to I*alpha.
4)open alpha as a/r.
5)Find a from there.
Shortcut trick :- Body with greater moment of inertia will have less alpha( and if their dimensions are same then even linear acceleration).
So, it is the solid cylinder who will be emerging as the winner.
If you have any doubts ask again and i shall give you the entire steps.

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