Q. A solid sphere, solid cylinder, and a hollow cylinder of same mass and radius roll down the same incline. Which has the maximum acceleration?

एक ठोस गोला, ठोस सिलेंडर और समान द्रव्यमान और त्रिज्या का एक खोखला सिलेंडर एक ही झुकाव पर लुढ़कता है। सर्वाधिक त्वरण किसमें है?

A
Solid sphere
ठोस गोला
B
Solid cylinder
ठोस सिलेंडर
C
Hollow cylinder
खोखला सिलेंडर
D
All equal
सब बराबर

Explanation

Acceleration down an incline for rolling objects (without slipping) depends on the moment of inertia. The lower the moment of inertia relative to mass and radius, the higher the acceleration.

  • Solid sphere: I=25MR2

  • Solid cylinder: I=12MR2

  • Hollow cylinder: I=MR2I = MR^2

So, solid sphere has the smallest moment of inertia → maximum acceleration.

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