Physics Exam #3: Chapters 8, 10, & 11

Physics Exam #3: Chapters 8, 10, & 11

1. Chapter 8: Rotational Motion

   • Angular Position
   • Angular Velocity
     • (omega) Measure of how rapidly the angle (theta) is changing with time
   • Angular Acceleration
     • (lowercase alpha) - The average angular acceleration during a time interval (delta T) is related to changes in omega (angular velocity)
   • Period: time required to complete one revolution
   • Torque: equals the product of the applied force and the distance it is applied from the support point
     • Pivot point = P
     • the lever arm is the distance between the pivot point and the place where the force acts
     • We must consider all the forces on the objects and the places on the object where these forces act
   • Moment of Inertia
     • Newton's Second Law
     • Depends on mass and shape and is proportional to the total mass and depends on its distribution relative to the rotation axis
   • Rotational Dynamics
   • Rotational Equilibrium: an object is in rotational and translational equilibrium if its linear acceleration and angular acceleration are both zero

2. Chapter 11: Harmonic Motion

   • General Features
     • The period T is the time required for one complete oscillation.
       • The frequency f is the number of oscillations that occur in one unit of time.
         • f = 1/T
         • f = ω / (2π)
     • Position vs Time
       • Velocity vs Time
         • Acceleration vs Time
           • a(t) = -Aw^2 sin wt
         • v(t) = Aw cos wt
       • y(t) = A sin wt
   • Springs
     • Hooke's Law
       • Fspring = -Kx
         • K= spring constant
           • (N/m)
         • F = -kx = ma
     • f = 1/2pi sqrt(k/m)
   • Pendulums
     • F parallel = -mg sin theta
     • f = (1/2pi) sqrt(g/L)
   • Stress and Strain
     • Elastic Deformation
       • F/A = Y(delta L/ Lo)
     • Shear Deformations
       • F/A = S(delta x/ Lo)
     • Volume Deformations
       • P = -B(delta V/ Vo)

3. Chapter 10: Fluids

   • Pressure and Density
     • Pressure is denoted as P and measured in Pascals (Pa)
       • P = F/A
     • Density = M/V and SI unit is kg/m^3
   • Fluid and Effect of Gravity
     • P = Patm + pgh
   • Hydraulic Principle
     • Fl/Al = Fr/Ar
   • Archimedes' Principle
     • The upward force that act on an object that is immersed in fluid is called Buoyant force
       • FB= Volume x Density x gravity
   • Flow Rate: Q = VA; SI unit m^3/s
   • Bernoulli's Equation: P1 + KE1 + PE1 = P2 + KE2 + PE2