AIIMS 2012
- Exam
- AIIMS
- Year
- 2012
- Subject
- Physics
- Chapter
- Rotational Motion
AIIMS 2012 · Physics · Rotational Motion
A solid cylinder, a circular disc, a solid sphere and a hollow...
A solid cylinder, a circular disc, a solid sphere and a hollow cylinder of the same radius are placed on an inclined plane. Which of the following will have maximum acceleration at the bottom of the plane?




Options
- ACircular disc.
- BSolid cylinder.
- CSolid sphere.
- DHollow cylinder.
Correct answer
C. Solid sphere.
Step-by-step solution
Let the inclination of the inclined plane be . Acceleration of a rolling body is given as

Here, is radius of gyration. For circular disc
For solid cylinder
For solid sphere
For hollow cylinder
Hence, from (i), (ii), (iii) and (iv) we conclude that the solid sphere will reach the bottom with maximum acceleration.
Here, is radius of gyration. For circular disc
For solid cylinder
For solid sphere
For hollow cylinder
Hence, from (i), (ii), (iii) and (iv) we conclude that the solid sphere will reach the bottom with maximum acceleration.