If a force is proportional to -x^3 , will the motion be oscillatory? If yes, then, is it also SHM?
Answer (1)
11th Mar, 2020
Hello Student ,
Oscillatory/Vibratory Motion : it is the motion that repeats to and fro along the same path, about an equilibrium position. Every oscillatory motion is periodic but all periodic motions are not oscillatory.
SHM : SHM is also an oscillatory motion, but here at any point acceleration is directly proportional to its displacement from mean position , but in opposite direction.
For Oscillatory Motion F = -kx^n
n>0 . But for SHM F= -kx^1 , so for SHM n = 1. Hence in the above question motion is oscillatory but not SHM.
Oscillatory/Vibratory Motion : it is the motion that repeats to and fro along the same path, about an equilibrium position. Every oscillatory motion is periodic but all periodic motions are not oscillatory.
SHM : SHM is also an oscillatory motion, but here at any point acceleration is directly proportional to its displacement from mean position , but in opposite direction.
For Oscillatory Motion F = -kx^n
n>0 . But for SHM F= -kx^1 , so for SHM n = 1. Hence in the above question motion is oscillatory but not SHM.
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