Mechanics Ch7 -Ch11
Chapter 7-Conservation of Energy
Chapter 8- Linear momentum
The net work done by a conservative force on a particle moving around any
closed path is zero.
Principle of conservation of energy :K2+U2=K1+U1 
The work done by a conservative force on a particle moving between two points
does not depend on the path taken by the particle.
Potential energy: U=-W.
Power
P=E/t
P=F.v
Escape velocity: sqrt(2GM/r)
Non-conservative, However, when the forces are taken into account, the total energy is still conserved.
Friction
Heat
Electrical energy
Chemical energy
Elastic potential energy= 1/2kx^2 Force exerted on the spring= -kx
Linear momentum,P=mv
Conservation of momentum
m1u1+m2u2=m1v1+m2v2
Total momentum does not change before and after
Law of conservation of momentum : When the net external force on a system of object =0, the total momentum of the system remains constant.
Impulse
Impulse=change in momentum
Impulse=mv-mu
The center of mass of a system of particles is the point that moves as though all of the system’s mass were concentrated there and all external forces were applied there. 
Rocket
Our system consists of the rocket and the exhaust
products released during interval dt. The system is closed and isolated, so the linear momentum of the system must be conserved during dt 
Collisions
Elastic collision 
Inelastic collision 
Chapter 9-Rotational Motion
For this chapter, the angles are measured in radians.
Angular velocity
Angular Acceleration
Frequency
Chapter 10-Angular momentum,L :Iw
If net torque = 0, the angular momentum does not change
w=v/R 
alpha=a/R 
Angular displacement
theta=wt 
T=1/f
Constant angular acceleration: 
Torque 
Chapter 11: Static equilibrium
Moment of inertia: 
Rotational kinetic energy: 
why a sphere that is rolling slowed down 
The total angular momentum of a rotating objects remains constant if the net external torque acting on it is zero.
Angular momentum is a vector quantity
Condition of static equilibrium :
Stability and balance
Stress and strain:
Strain
Stress
Fracture: 
Trusses and Bridges: 
Arches and Domes 