Question

5. 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 objectsgets to the bottom of the Plane first?
(1) Depends on their masses
(2) Disk
(3) Sphere
(4) Both reach at the same

Answer 1

Dear Student ,
Here in this case the sphere will come to the bottom of the inclined first .

$$\begin{gathered} Thetimedoesnotdependonmass,else \\ T\propto \sqrt{\left(1+\frac{k^2}{R^2}\right)} \\ Hence\frac{k^2}{R^2}isleastforsphereandhenceleasttimeistakenbythesphere. \end{gathered}$$
Regards