If a raw egg and a boiled egg are spinned on the table by...

If a raw egg and a boiled egg are spinned on the table by applying same torque, then:
(a) boiled egg will spin faster
(b) raw egg will spin faster
(c) moment of inertia of boiled egg will be lesser than that of the raw egg
(d) both (a) and (c) are correct

Key Concepts

Internal Energy Dissipation and Viscous Effects

In systems containing fluids or other internally moving parts, such as in non-rigid bodies, internal friction and viscous forces play a significant role in energy dissipation. These processes convert some of the rotational energy into heat, reducing the overall efficiency of the rotational motion and often leading to slower effective rotation compared to a rigid body with the same external shape and mass.

Rigid Body versus Non-Rigid Body Dynamics

Rigid body dynamics assumes that the entire body rotates as a single, unchanging unit, while non-rigid bodies have internal degrees of freedom that can affect their rotational behavior. When dealing with objects that contain internal fluids, for example, the dynamics become more complex due to internal movements and interactions that result in additional energy dissipation and altered effective moments of inertia.

Torque and Angular Acceleration

Torque is a measure of the rotational force applied to an object, and it is directly related to the angular acceleration the object experiences. In rotational dynamics, the same applied torque on two different objects can result in different angular accelerations if their moments of inertia differ, making it a fundamental concept in understanding how bodies start rotating under applied forces.

Moment of Inertia

The moment of inertia is a quantitative measure of an object's resistance to changes in its rotational motion. It depends on the mass distribution relative to the axis of rotation. A lower moment of inertia results in a higher angular acceleration for the same amount of applied torque, which is why understanding this concept is crucial in rotational dynamics.

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