Question

A disk and a sphere of same radius but different masses roll off on two inclined planes of the same altitude and length. Which one of the two objects gets to the bottom of the plane first ?(a) Disk(b) Sphere(c) Both reach at the same time(d) Depends on their masses

Answer 1

this is helpful to you

Answer 2

Answer:

(b) Sphere

Explanation:

The sphere will reach the bottom faster than the disk. It is because the disk has a higher rotational inertia than the solid:

I= mr²

I is the rotational inertia where m is the mass and r is the square of distance from the axis of rotation. in the case of disk I is greater due to r and more the I, more is the rotational K.E. Then for conservation of energy Translational K.E will be less.

mgh= K.E (T) + K.E (R)

so in case of sphere translational K.E will be more, meaning more final velocity and it will reach the bottom faster