A solid sphere of radius R has moment of inertia Ι about its geometrical axis. If it is melted into a disc of radius r and thickness t. If it's moment of inertia about the tangential axis (which is perpendicular to plane of the disc), is also equal to Ι , then the value of r is equal to : 
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
A
2/5 MR 2 = 1/2 Mr 2 + Mr 2
∴ 2/5 MR 2 = 3/2 Mr 2
r 2 = 
R 2
r = 
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
A uniform disc of mass 2kg and radius 1m is mounted on an axle supported on fixed frictionless bear…
A solid sphere is resting over a rough horizontal floor. A sharp impulse is applied on it along its…
Select the wrong statement –
Statement-I : A body may be in pure rotation under the action of singl…
A ring of mass M and radius R sliding with a velocity v 0 suddenly enters into rough surface where …
A cylinder of mass m is kept on a inclined plane having angle of inclination 30 0 Axis of cylinder …
A uniform rod of mass 1 kg and length 1 m is kept vertical on the edge of a horizontal table. The r…