00:01
Hello and welcome to this video solution of numerate.
00:04
Here we are given an object that oscillates up and down between y equal to plus a and y equal to minus a.
00:09
So let me draw a simple graph of it.
00:13
So let's say i consider a sinusoidal graph.
00:17
And let's say it is at this is the y axis and here we have plus a and here we are minus.
00:31
And here you have to calculate where we have the maximum kinetic energy.
00:35
So first of all let us introduce the concept of total energy of a s -h -l which is equal to the sum of the elastic potential energy plus the kinetic energy now elastic potential energy is given as half k x square x is a spring constant and x is the displacement and so kinetic energy is half m v square right and both of the sum is always constant equal to e so the energy is actually constant parameter in case of shm and because we assume that there is no loss of energy as the body undergoes this simple harmonic oscillation.
01:14
Now it is evident that x is a parameter which is from the, which is measured from the equilibrium point.
01:21
That means from the equilibrium point, the amount it displaced to the right or left.
01:27
And maximum displacement is obviously a, that is amplitude.
01:33
Now let us see...