Q. A solid sphere and a solid cylinder of same mass and radius are rolled down an inclined plane. Which one reaches the bottom first?

समान द्रव्यमान और त्रिज्या का एक ठोस गोला और एक ठोस सिलेंडर एक झुके हुए तल पर लुढ़का हुआ है। सबसे पहले कौन नीचे तक पहुंचता है?

A
Solid sphere
ठोस गोला
B
Solid cylinder
ठोस सिलेंडर
C
Both together
दोनों एकसाथ
D
Depends on mass
द्रव्यमान पर निर्भर करता है

Explanation

Acceleration of rolling objects depends on their moment of inertia:

  • Solid sphere: I=25MR2I = \frac{2}{5}MR^2

  • Solid cylinder: I=12MR2

Since the sphere has a lower moment of inertia, it accelerates faster and reaches the bottom first.

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