13.1.1 Shm Part 2 Circular To Shm

13.1.1 simple harmonic motion Part 2: translating circular motion to simple harmonic

Simple harmonic motion ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Linking circular motion and SHM ,[object Object]

[object Object],[object Object],[object Object],[object Object],O N A B

Displacement and velocity ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Definition ,[object Object],[object Object],[object Object],[object Object],[object Object]

Equations of SHM ,[object Object],[object Object],[object Object],[object Object],[object Object]

Displacement ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object], r x

Velocity ,[object Object],Bob Ball  v =  r O  r  velocity = - v sin  Ball Bob

Variation of velocity with displacement ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Acceleration ,[object Object],[object Object],[object Object], Bob Ball a =  2 /r a =  2 r cos  O  O

Time period ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Time traces of SHM ,[object Object],T/4 T/2 3T/4 T Note: the gradient = velocity

[object Object],T/4 T/2 3T/4 T Note: when  = 0, a = max

[object Object],T/4 T/2 3T/4 T a = 0 when  = max

[object Object],[object Object],[object Object],[object Object],[object Object]

Summary: equations of SHM ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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