Topic 4: Oscillations and Waves 10 hours
4.1 Kinematics of simple harmonic motion (SHM) 2 hours
| |Assessment statement |Obj |Student Notes | |4.1.1 |Describe examples of oscillations. |2 |A mass hanged with a spring | | | | |A pendulum moving | |4.1.2 |Define the terms displacement, |1 |Displacement- the shortest distance between two points. | | |amplitude, frequency, period and phase | |Amplitude- the highest displacement from the mean position. | | |difference. | |Frequency- number of oscillation per second. | | | | |Period- time taken per oscillation. | | | | |Phase difference- it’s the difference between two waves having the | | | | |same frequency. | |4.1.3 |Define simple harmonic motion (SHM) |1 |Repeating motions are called SHM. | | |and state the defining equation as | |A is proportional to –x, thus a=(constant)-x | | |a = −ω2 x . | |a=-ω2x | |4.1.4 |Solve problems using the defining |3 |The displacement of an object attached to a spring is 1m and the | | |equation for SHM. | |angular frequency is 2.0Hz. Find the acceleration. | | | | |a=-4. | |4.1.5 |Apply the equations v = vo sin ωt, |2 |E=(1/2)kx02=(1/2)mv2+(1/2)kx2 | | |v = vo cos ωt, v =± ω√(xo2 – x2) | |kx02- kx2= mv2 | | |x = xocosωt and x = xosinωt as solutions to the defining | |v2=(x02-x2)k/m | | |equation for SHM. | |v=± ω(x02-x2)1/2 | | | | |ω=(k/m)1/2 | |4.1.6 |Solve problems, both graphically and by calculation, for |3 |Graph of displacement of an object with SHM is | | |acceleration, velocity and displacement during SHM. | |[pic] | | | | |Find the acceleration graph | | | | |Acceleration graph= | | | | |[pic] | | | |...
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