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Mechanics

Hot goIITian

 Joined: 15 Oct 2010 Post: 156
5 Apr 2011 20:07:37 IST
0 People liked this
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ONE HOLLOW N ONE SOLID CYLINDER OF SAME RADIUS R ROOLING DOWN AN INCLINED PLANE. WHICH OF THE FOLLEW
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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

Blazing goIITian

Joined: 19 Apr 2010
Posts: 359
6 Apr 2011 21:39:32 IST
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.

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