00:01
Hey everyone, welcome back.
00:01
In this question, our object is performing simple harmonic motion and we have to tell that at equilibrium, at equilibrium where net force is 0 and this is also known as mean position, at equilibrium that is to say x equals to 0, we have to tell that what features are minimum at this particular location at equilibrium.
00:24
So let us start with velocity.
00:27
So we know that velocity is given by the formula.
00:30
Omega root over a square minus x square now at equilibrium that is to say if i put x equals to 0 here then velocity will come out as a omega and this is the maximum velocity a omega is the maximum velocity but we require the minimum characteristics okay so velocity is not minimum so this is incorrect let us talk about acceleration which is given by the formula minus omega square x so, at x equals to 0, the acceleration is coming out as 0, which is the minimum value.
01:06
So, acceleration is minimum at equilibrium, so this is correct.
01:10
Now, let us talk about the kinetic energy.
01:13
As we know that kinetic energy is given by the formula, half k a square minus x square.
01:19
Again, if i put x equals to 0, because we need to find out kinetic energy at equilibrium, then this is coming out as half k a square, and that is maximum value of kinetic energy...