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

Two simple harmonic motions of angular frequencies 100 and 1000"rad"*s^(-1) have the same displacement amplitude. What is the ratio of their maximum acceleration?

A simple harmonic motion is described by a = -16x where a is acceleration and x is the displacement in meter. What is the time period?

A 0.1 kg mass is suspended from a wire of negligible mass. The length of the wire is 1 m and its cross sectional area is 4.9 times 10^-7 m^2 . IF the mass is pulled a little in the vertically downward direction and released, it performs simple harmonic motion of angular frequency 140 rad.s^-1 . IF the young's modulus of the material of the wire is n times 10^9 N.m^-2 . Find the value of n.

A simple harmonic motion has an amplitude of A and an angular frequency of omega . Determine the distance of the point from the equilibrium position where the magnitudes of velocity and acceleration of the motion are equal.

What is the result of superposition of two collinear simple harmonic motions of the same frequency but of different amplitudes when they are (i) in the same phase and (ii) in opposite phase?

In case of a simple harmonic motion, if the velocity is plotted along the X-axis and the displacement (from the equilibrium position) is plotted along the Y-axis, the resultant curve happens to be an ellipse with the ratio ("major axis (along X)")/("minor axis (along Y)")=20pi What is the frequency of the simple harmonic motion?