SHMHard
Question
According to a scientists, he applied a force F= − cx1/3 on a particle and the particle is performing SHM. No other force acted on the particle. He refuses to tell whether c is a constant or not. Assume that he had worked only with positive x then :
Options
A.as x increases c also increases
B.as x increases c decreases
C.as x increases c remains constant
D.the motion cannot be SHM
Solution
Comparing F = −kx
with F = −cx1/3
⇒ kx = cx1/3
⇒ c = kx2/3
As x increases c also increases. x
with F = −cx1/3
⇒ kx = cx1/3
⇒ c = kx2/3
As x increases c also increases. x
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