Zusammenfassung der Ressource
Exam 2
- Chapter 6: Work and Energy
- Chapter 7: Momentum, Impulse, Collisons
- Chapter 8: Rotational Motion
- Angular position = theta
- dimensionless
- units= radians
- arc length = S
- radius = r
- omega= angular velocity
- alpha= angular acceleration
- Tangential acceleration = linear acceleration
- m/s^2
- At= alpha x radius
- Kinematic Equations
- Omega f = Omega i + alpha x change in time
- theta f = theta i + omega i x change in t + 1/2 alpha times change in time squared
- Theta f - theta i = change in theta = Omega i times change in t + 1/2 alpha times change in time squared
- Momentum = p
- p= m X v
- Units: kg x m/s
- Impulse= avg Force x change in time
- Impulse = change in momentum
- Conservation of Linear motion
- P total i = P f total
- Inelastic Collisions
- KE is not conserved
- Elastic Collisions
- KE i total = KE f total
- P i total = P f total
- Center of Mass
- X cm= sum of m1 X x1 + m2 X x2..... / m1 + m2....
- Ycm = sum of m1 x y1 + m2 x y2...... / m1+m2...
- Work= force x displacement
- Work= force x displacement x cos(alpha)
- Work Energy Theorem
- Work is the change in kinetic energy
- Units: Joules
- KE= 1/2 x mass x velocity^2
- KE total i = KE total f
- PE total i = PE total f
- KEi + PE i = KEf + PE f
- Uniform Circ Motion
- Aceleration is not constant
- Ac= V^2/radius
- Cannot be reduced to one dimension
- Velocity is not constant
- V=circumference / T
- T=Period
- T= Tf-Ti/#rotations
- Centipetal Force
- Mass x Centripetal acceleration
- Always center seeking
- Vertical Circular Motion
- Tension (bottom) = m [(v^2/r)+g]
- Minimum velocity= sqrt(gr)
- Tension (top)= m[(v^2/r)+g]
- Newton's Law of Gravitation
- Fgrav= (Gm1m2)/r^2