How do you calculate angular momentum of a rolling body?

L=Iω. L = I ω . This equation is analogous to the magnitude of the linear momentum p=mv p = m v . The direction of the angular momentum vector is directed along the axis of rotation given by the right-hand rule.

How do you find the angular momentum of a sphere?

With a bit of a simplification, angular momentum (L) is defined as the distance of the object from a rotation axis multiplied by the linear momentum: L = r*p or L = mvr. w = 2*pi / Trot, where T is the period of rotation of the sphere.

Is angular momentum conserved in pure rolling?

A uniform bowling ball of radius R and mass M is initially launched so that it is sliding with speed V0 without rolling on an alley with a coefficient of friction µ. As it is pure rolling now so ω = V/R. Hence conservation of angular momentum implies: MV0R = MVR + Icmω, or MV0R = 7MVR/5, or V = 5V0/7.

What is the total angular momentum of a solid sphere?

Their angular momentum is mv(r+asinθ)+mv(r−asinθ)=2mvr and is independent of the positions of the masses within the sphere. So the total angular momentum for the whole sphere is Mvr and this is the orbital angular momentum that your teacher was referring to.

What is Li and LF in physics?

For a system on which there is no net external torque, the total angular momentum remains constant: Li = Lf . This principle is known as the Conservation of Angular Momentum.

How is angular momentum derived?

Just as linear momentum equals the product of mass and velocity, angular momentum equals the product of angular mass (that is, a moment of inertia) and angular velocity. Thus, angular momentum = Moment of inertia × Angular velocity.

How is angular momentum conserved?

Making Connections: Conservation Laws Angular momentum is conserved when net external torque is zero, just as linear momentum is conserved when the net external force is zero.

Why is angular momentum a conserved quantity?

Angular momentum is conserved because linear momentum is conserved. It is possible to show that the invariance of the laws of mechanics to translation implies conservation linear momentum, and that the invariance of those laws to rotation implies conservation of angular momentum.

What is the product of moment of inertia and angular velocity?

angular momentum
The product of the moment of inertia (I) and angular velocity (ω) is called angular momentum.

Is moment of inertia conserved?

The Moment of Inertia is often given the symbol I. It is the rotational analogue of mass. Angular momentum in a closed system is a conserved quantity just as linear momentum P=mv (where m is mass and v is velocity) is a conserved quantity. …