Chapter 9 Center of Mass and Linear Momentum

Learning Objectives:

In this chapter you will basically learn:

\(\bullet\) Given the positions of several particles along an axis or a plane, determine the location of their center of mass.

\(\bullet\) For a two-dimensional or three-dimensional extended object with a uniform distribution of mass, determine the center of mass.

\(\bullet\) Apply Newton’s second law to a system of particles by relating the net force (of the forces acting on the particles) to the acceleration of the system’s center of mass.

\(\bullet\) Calculate the (linear) momentum of a particle as the product of the particle’s mass and velocity.

\(\bullet\) Apply the relationship between a system’s center-of-mass momentum and the net force acting on the system.

\(\bullet\) Apply the relationship between impulse and momentum change.

\(\bullet\) Apply the relationship between impulse, average force, and the time interval taken by the impulse.

\(\bullet\) For an isolated system of particles, apply the conservation of linear momenta to relate the initial momenta of the particles to their momenta at a later instant.

\(\bullet\) Distinguish between elastic collisions, inelastic collisions, and completely inelastic collisions.

\(\bullet\) Elastic collisions in one and two dimensions.

\(\bullet\) Apply the first rocket equation to relate the rate at which the rocket loses mass, the speed of the exhaust products relative to the rocket, the mass of the rocket, and the acceleration of the rocket.

9.1 Center of mass, Newton’s Second Law for a System of Particles, Linear Momentum, Linear Momentum of a System of Particles.

9.2 Collision & Impulse, Conservation of Linear Momentum, Momentum & Kinetic Energy in Collision, Elastic Collision in One Dimension.

(Solved Problems: 2, 3, 5, 7, 37, 49, 64)