JEE Main 2019 — Rotational Motion Question with Solution
From: JEE Main 2019 (Online) 9th April Morning Slot
Question
The following bodies are made to roll up
(without slipping) the same inclined plane from
a horizontal plane. : (i) a ring of radius R, (ii)
a solid cylinder of radius
R/2 and (iii) a solid
sphere of radius
R/4 . If in each case, the speed
of the centre of mass at the bottom of the incline
is same, the ratio of the maximum heights they
climb is :
Choose an option
Show full solutionCorrect option: A
Correct answer
A20 : 15 : 14
Step-by-step explanation
Total kinetic energy of a rolling body is given as
where, is the radius of gyration.
Using conservation law of energy,
For ring,
For solid cylinder,
For solid sphere,
So,the ratio of and is
where, is the radius of gyration.
Using conservation law of energy,
For ring,
For solid cylinder,
For solid sphere,
So,the ratio of and is
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This is a previous-year question from JEE Main 2019, covering the Rotational Motion chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.