A small block on a frictionless, horizontal surface has a mass of 0.025kg. It is attached to a massless cord passing through a hole in the surface. The block is originally revolving at a distance of 0.30m from the hole with an angular speed of 1.75rad/s. The cord is then pulled from below, shortening the radius of the circle in which the block revolves to 0.15m. Model the block as a particle. (a) is the angular momentum of the block conserved? why or why not? (b) what is the new angular speed? (c) find the change in kinetic energy of the block. (d) how much work was done in pulling the cord?

A small block on a frictionless, horizontal surface has a mass of 0.025kg. It is attached to a massless cord passing through a hole in the surface. The block is originally revolving at a distance of 0.30m from the hole with an angular speed of 1.75rad/s. The cord is then pulled from below, shortening the radius of the circle in which the block revolves to 0.15m. Model the block as a particle. (a) is the angular momentum of the block conserved? why or why not? (b) what is the new angular speed? (c) find the change in kinetic energy of the block. (d) how much work was done in pulling the cord?

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Question

Definition Definition Product of the moment of inertia and angular velocity of the rotating body: (L) = Iω Angular momentum is a vector quantity, and it has both magnitude and direction. The magnitude of angular momentum is represented by the length of the vector, and the direction is the same as the direction of angular velocity.

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