A solid sphere, disc and solid cylinder all of the same mass and … - Vidyadip

MCQ

A solid sphere, disc and solid cylinder all of the same mass and made of the same material are allowed to roll down (from rest) on the inclined plane, then ....

A
disc will reach the bottom first
B
solid sphere reaches the bottom last
✓
solid sphere reaches the bottom first
D
all reach the bottom at the same time

✓

Answer

Correct option: C.

solid sphere reaches the bottom first

c
For solid sphere, $\frac{K^{2}}{R^{2}}=\frac{2}{5}$

For disc and solid cylinder, $\frac{K^{2}}{R^{2}}=\frac{1}{2}$

As $\frac{K^{2}}{R^{2}}$ for solid sphere is smallest, it takes minimum time to reach the bottom of the incline, disc and cylinder reach together later.

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