A disk and a sphere o same radius but different masses roll off on two inclined planes of the same altitude and lengths. Which one of the two objects gets to the bottom of the plane first?
Disk
Sphere
Both reach at the same time
Depends on their masses
As learnt in
Rolling of a body on an inclined plane -
- wherein
K=Radius of gyration
= Angle of inclination
If the value of is less, the moment of inertia will be less and greater will be its velocity. The solid body will reach the bottom first.
Option 1)
Disk
This answer is incorrect
Option 2)
Sphere
This answer is correct
Option 3)
Both reach at the same time
This answer is incorrect
Option 4)
Depends on their masses
This answer is incorrect