A particle initially at the mean position is executing simple harmonic motion with an angular frequency 4 rad s ⁻¹ . The ratio of the distances travelled by the particle in the first second and second is

Step-by-step solution

Angular frequency, = 4 Displacement of particle executing SHM at t=1 ~s Y₁=A 4 = A 2 Displacement of particles executing S H M at t=2 sY₂=A 2 4 =A Distance covered in time 2 ~s , Y ₂- Y ₁= A - A 2 Ratio = Y₁ Y₂-Y₁ = A 2 A- A 2 = 1 2 -1 2 +1 2 +1 Ratio =(1+ 2 ): 1