If x is the displacement of a simple harmonic oscillatorat a certain instant and y its acceleration at that instant, draw graph of (x, y) at all instant in one complete oscillation,

If x is the displacement of a simple harmonic oscillatorat a certain i

1.	If x is the displacement of a simple harmonic oscillatorat a certain instant and y its acceleration at that instant, draw graph of (x, y) at all instant in one complete oscillation,
Answer» SOLUTION :The acceleration y of a particle executing shm at.any in stant is `y = - omega^x, x` is the displacement at that instant and wo is a constant. Thus y is proportional to x and `omega^2`hence the GRAPH is a straight line passing through the origin as SHOWN in the Fig. For the second half of the oscillation the CURVE is RETRACED. When `x = -a, y =omega^2 a`and when `x= a,y = - omega^2` awhere .a. is the amplitude.