Question

The displacement of a particle is given by x = cos2 wt. The motion is -; 1) simple harmonic; 2) periodic but not simple harmonic; 3) non-periodic; 4) None of the above

Answer 1

Hola User___________

Here is Your Answer....!!
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↪⭐Actually welcome to the concept of the SIMPLE HARMONIC MOTION..

↪Basically here the Displacement of the particle is given as ...

↪X = Cos2wt

↪since we know that condition for the SHM is that the dispalcemt is directly proportional to the restoring force and also acceleration is SHM IS always -w^2 times displacement ..

↪So after differentiating the equation two times we get as ...

↪V = -2 wsin 2 wt

↪and Acceleration = -4 w^2 cos 2wt

↪since it is in the form of the -w^2X

↪thus the given equation is a SIMPLE HARMONIC MOTION EQUATION
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↪⭐hope it helps u....☺

Answer 2

$\bold{\huge{Hay!!}}$

$\bold{Dear\:user!!}$

$\bold{\underline{Question-}}$

The displacement of a particle is given by x = cos2 wt. The motion is -; 1) simple harmonic; 2) periodic but not simple harmonic; 3) non-periodic; 4) None of the above ?

$\bold{\underline{Answer-}}$

$\bold{Your\:Answer\:is\:Options\:(1) }$

The displacement of a particle is given by x = cos2 wt. The motion is -;

1) simple harmonic; ✔️
2) periodic but not simple harmonic;
3) non-periodic;
4) None of the above

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \small \: {swarnimkumar22}$