Phys 211

看上去很简单，怎么考试分数这么低呢（

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Kinematics

• 1-D Kinemiatic Quantities
  • Displacement
  • Velocity ,
  • Acceleration ,
• n-D Kinemiatic Quantities
  • Displacement
  • Velocity
  • Acceleration
• Motion with Constant Acceleration
  • Displacement:
  • Velocity:
  • Acceleration:
• Relative Motion:

Newton’s Laws

• Mass: An object’s property that determines how hard it is to change its velocity.
• Force: The thing that is responsible for an objext’s change in velocity.
• Newton’s 1st Law: An object subject to no external forces is at rest or moves with constant velocity if viewed from an inertial reference frame.
  • Intertial Reference Frames = Non-Accelerating Reference Frames.
• Newton’s 2nd Law:
• Newton’s 3rd Law: For every action there is an equal and opposite reaction.

Force

• Tension:
• Normal Forces:
• Spring Force:
• Weight:
• Universal Law of Gravitation:
• Friction
  • Kinetic Friction:
  • Static Friction:
  • Always:

Work and Energy

• Work:
  • by the Gravitational Force:
  • by the Spring Force:
• Kinetic Energy:
• Work-Kinetic Energy Theorem: ,
• Potential Energy:
• Mechanical Energy:

Center of Mass

• Displacement:
• Velocity:
• Acceleration:
• Center of Mass Equation:
• Center of Mass Reference Frame: The reference frame where
  • : velocity in Center of Mass Reference Frame
• Kinetic Energy of a System of Particles:

Momentum

• Impulse:
• Conservation of Momentum: When , then

Collisions

• Elastic Collisions
  • is conserved.
  • In Center of Mass Frame, ,
• Completely Inelastic Collisions

Circular Motion

• , ,
• Centripetal Acceleration:
• Moment of Inertia:
  • Solid Cylinder:
  • Cylinderical Shell:
  • Solid Sphere:
  • Spherical Shell:
• Parallel Axis Theorem:
• Rotational Kinetic Energy:
• Torque:
• 叉乘计算原则：右手三指相互垂直（和笛卡尔坐标系相同），食指（x轴）指向第一个向量方向，中指（y轴）指向第二个向量，此时大拇指指向结果。
• Rotational Analog to the CM Equation:
• Angular Momentum:
• Precession:

Harmonic Motion

• Spring + Mass System:
• Torsion Pendulum: ,

Waves

• Transverse Harmonic Waves:
  • Wave Number:
  • Speed of Wave:
  • Speed of a Wave on a String:
  • Period of Oscillation:
  • Wave Equation:
  • Max Kinetic Energy of a String Element:

Float

• Pressure:
• Depth Dependence on Pressure:
• Submerged Fraction of a Floating Object:
• Archimedes’ Principle:

Flued Dynamics

• Continuity Equation:
• Pressure:
• Bernoulli’s Equation: