Simple harmonic motion

=> back and forth motion

• oscillators follows a particular consistent pattern

• equilibrium- jämviktsläge

• a ball attached to a spring, attached to a wall, laying horizontally

  => two turning points - where it is not moving

  • turning point 1 - when the spring is compressed all the way

  • turning point 2 - when the spring is stretched all the way

  • amplitude - the distance between the equilibrium and the turning point

  • all of the energy will be potential energy

    E= (k/2)xA^2 → moment of turning point → potential energy

    E=(m/2)xV^2→ equilibrium point → kinetic energy

• The balls maximum velocity is:

  • V=+- A(k/m)^1/2

  • T= 2pi(m/k)^1/2

    -f= 1/(2pi)(k/m)^1/2

• For an object in simple harmonic motion, the graph of its position versus time is a wave

• Resonance can increase the amplitude of an oscillation by applying force at just the right frequency

• resonance - energiöverföring från från ett system till ett annat