A solid sphere, disc and solid cylinder all of the same mass...

Name: Problem 83, Chapter 5: Objective Physics : NEET 2020 Examination textbook Gurukul Oswal
Uploaded: 2021-10-01T15:54:10-08:00
Duration: 1 min 57 s
Channel: Dheeraj Sharma
Description: A solid sphere, disc and solid cylinder all of the same mass and made up of same material are allowed to roll down (from rest) on inclined plane, then: (a) solid sphere reaches the bottom first (b) solid sphere reaches the bottom late (c) disc will reach the bottom first (d) all of them reach the bottom at the same time

A solid sphere, disc and solid cylinder all of the same mass and made up of same material are allowed to roll down (from rest) on inclined plane, then: (a) solid sphere reaches the bottom first (b) solid sphere reaches the bottom late (c) disc will reach the bottom first (d) all of them reach the bottom at the same time

A solid sphere, disc and solid cylinder all of the same mass and made up of same material are allowed to roll down (from rest) on inclined plane, then:
(a) solid sphere reaches the bottom first
(b) solid sphere reaches the bottom late
(c) disc will reach the bottom first
(d) all of them reach the bottom at the same time

Key Concepts

Moment of Inertia

This concept refers to how mass is distributed about an object's axis of rotation. It is a measure of the resistance of a body to change in its rotational motion. In rolling objects, a lower moment of inertia means that less energy is required to initiate rotation, leading to greater acceleration under the same conditions.

Rolling Motion Without Slipping

This is a type of motion where an object rolls in such a way that there is no relative sliding between the object and the surface. It establishes a direct relationship between translational motion and rotational motion, typically expressed as v = r?, meaning the linear velocity is equal to the product of its angular velocity and radius.

Conservation of Energy in Rotational Dynamics

In the context of rolling objects on an incline, total mechanical energy is conserved (assuming no energy losses). The gravitational potential energy of the object is converted into both translational and rotational kinetic energies as it descends, affecting its acceleration and final velocity.

Dynamics of Rolling Objects on an Incline

This involves understanding how forces and torques act on bodies rolling down an incline. The acceleration of a rolling object depends not only on gravitational force but also on its moment of inertia and the frictional forces that enable rolling without slipping, resulting in different acceleration rates for different shapes.

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