Two simple harmonic motions of angular frequencies 100 and 1000 rad/s have the same displacement amplitude. The ratio of their maximum acceleration is………….

Two simple harmonic motions of angular frequencies 100 and 1000 rad/s

1.	Two simple harmonic motions of angular frequencies 100 and 1000 rad/s have the same displacement amplitude. The ratio of their maximum acceleration is………….
Answer» `1:10` `1:10^(2)` `1:10^(3)` `1:10^(4)` SOLUTION :The MAGNITUDE of the maximum ACCELERATION is given by `a_(max)=OMEGA^(2)Aimplies((a_(max))_(1))/((a_(max))_(2))=(omega_(1)^(2))/(omega_(2)^(2))=((100)/(1000))^(2)=(1)/(10^(2))`