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if a pendulum is swinging , then where will be the maximum acceleration?? At the mean or extreme???and why????? Pls explain!!!

if a pendulum is swinging , then where will be the maximum acceleration?? At the mean or extreme???and why????? Pls explain!!!

Grade:9

1 Answers

vikas askiitian expert
509 Points
10 years ago

equation of motion of pendulam is x = Asinwt          (for small displacements)

A = amplitude of motion ...

 x = Asinwt          .............1

v(velocity) = dx/dt = Awcoswt

a(accleration) = dv/dt = -Aw2sinwt    ..............2

now accleration is maximum when sinwt = 1 or -1 ..

         sinwt = + or - 1

now , position when sinwt = + or -1 is

 x = A or -A                  (from eq 1)

so maximum accleration is at extream  positions

 

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