Question

derive a differentials eqution for SHM​

Answer 1

Answer:

F=mg−T=−kx. ... This is the differential equation for simple harmonic motion with n2=km. Hence, the period of the motion is given by 2πn=2π√mk. We can conclude that the larger the mass, the longer the period, and the stronger the spring (that is, the larger the stiffness constant), the shorter the period.