1. | \(\sqrt{\dfrac{4L\sin\theta}{g}} \) | 2. | \(\sqrt{\dfrac{8L\sin\theta}{g}} \) |
3. | \(\sqrt{\dfrac{8L}{g\sin\theta}} \) | 4. | \(\sqrt{\dfrac{4L}{g\sin\theta}} \) |
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