# Impulse and Momentum for Systems of Particles - Example Problem 10.1-3

Consider a dumbbell consisting of two 2-kg spheres rigidly connected by a 3-m bar of negligible mass.The dumbbell slides across a smooth table.If the center of mass of the system is translating with velocity v_{G} = 4i m/s and the system is rotating with angular velocity ω = 1k rad/sec, determine a) the linear momentum of the system and b) the angular momentum of the system with respect to O for the instant shown in the figure.

__Given:__

- m = 2 kg
- L = 3 m
- v
_{G}= 4i m/s - ω = 1k rad/s

__Find:__

- G
- H
_{O}

#### Calculate the linear momentum of the system.