A particle moves in the x-y plane according to the equation
\(x = A \cos^2 \omega t\) and \(y = A \sin^2 \omega t\)
Then, the particle undergoes:
1. | \(x + y = A\) | uniform motion along the line
2. | \(x^2 + y^2 = A^2\) | uniform circular motion along
3. | \(x + y = A\) | SHM along the line
4. | \(x^2 + y^2 = A^2\) | SHM along the circle
A particle executing simple harmonic motion of amplitude \(5~\text{cm}\) has a maximum speed of \(31.4~\text{cm/s}.\) The frequency of its oscillation will be:
1. \(1~\text{Hz}\)
2. \(3~\text{Hz}\)
3. \(2~\text{Hz}\)
4. \(4~\text{Hz}\)