CBSE
Gujarat Board
Haryana Board
Class 10
Class 12
A disc and a sphere of the same radius but differnt masses roll off two inclined planes of the same altitude and length. which one of the two objects gets to the bottom of the plane first?
Sphere
Both reach at the same time
Depends on their masses
Disc
A.
Sphere
a) Acceleration of an object rolling down an inclined plane is given by,
m = mass of the object,
I = moment of Inertia about the axis through the centre of mass.
For solid sphere,
For hollow sphere,
Therefore, the given sphere is a solid sphere.
a_{solid sphere} = a_{hollow sphere} > a_{disk}
a) Acceleration of an object rolling down an inclined plane is given by,
m = mass of the object,
I = moment of Inertia about the axis through the centre of mass.
For solid sphere,
For hollow sphere,
Therefore, the given sphere is a solid sphere.
a_{solid sphere} = a_{hollow sphere} > a_{disk}