Why angular momentum is conserved about point of contact?

In such a case making the point about which to find the angular momentum the hinge would mean that angular momentum would be conserved because the force exerted by the hinge would exert no torque about the hinge.

What is the angular momentum of a solid 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 the angular momentum of the system conserved during the orbit?

There is no external torque about the sun since the force of the sun and position vector are always at an angle 180∘ since ˉτ=ˉr×ˉF, so angular momentum is conserved.

What is the angular momentum of the water about point of contact?

My approach: The angular velocity of the body about the point of contact will be 10 rad/s and the moment of inertia about the point will be 1.5 MR^2 . So angular momentum should be (moment of inertia)*(angular velocity)= 10 * 1.5 (5)(0.1)(0.1) giving 0.75 but the answer is 2.75 .

Why do we conserve angular momentum about Centre of mass?

Angular momentum is conserved only when there are not applied torques on an object. If you put to spin an object, this object will spin around its center of mass. This is due to the balanced centrifugal forces of every point mass element that forms the object.

What is conservation of angular momentum class 11th?

The law of conservation of angular momentum states that, when the net external torque acting on a system is zero, its total angular momentum is conserved and hence, does not change.

What is conservation of angular momentum simple definition?

: a principle in physics: the total angular momentum of a system free of external torque remains constant irrespective of transformations and interactions within the system.

How do you find the angular velocity of a sphere?

We can rewrite this expression to obtain the equation of angular velocity: ω = r × v / |r|² , where all of these variables are vectors, and |r| denotes the absolute value of the radius. Actually, the angular velocity is a pseudovector, the direction of which is perpendicular to the plane of the rotational movement.

What is the angular speed of the sphere?

If we consider the earth as a sphere than it will have an angular velocity of ω=ωez=2πTez where T≈24h. Now we have given a location in spherical coordinates r=(R,θ,ϕ)⊺ which points to the surface of the earth.