Question

State and explain the principle of

conservation of angular momentum. Use

a suitable illustration. Do we use it in our

daily life? When?​

Answer 1

The principle of Conservation of Angular Momentum states that in absence of any external torque there will not be any change of angular momentum of a body.

This means that , when no external torque acts on a body , the angular Momentum of the body along a particular axis remains conserved and doesn't change.

Mathematical Proof:

Torque on the system is zero

$\therefore \: \tau = 0$

$= > \dfrac{dL}{dt} = 0$

$= > dL = 0 \times dt$

$= > dL = 0$

$= > I \times d \omega = 0$

Integrating on both sides:

$\displaystyle= > I \times \int_{\omega_{1}}^{\omega_{2}} d \: \omega = \int \: 0 = 0$

$= > I\omega_{2} - I\omega_{1} = 0$

$= > I\omega_{2} = I\omega_{1}$

So angular momentum remains constant .

We use this principle in our daily life.

• Dancers while rotating on their feet bring their arms towards their body so as to decrease the Moment Of Inertia. This leads to increased angular velocity and faster rotation.

Answer 2

Answer:

Explanation:

Good