Amassless spring (force constant k1) is suspended from the ceiling with a mass m1 hanging from its lower end. a second massless spring (force constant k2) is suspended from m1, and a second mass m2 is suspended from the second spring’s lower end. assuming all motion is in the vertical direction, and using co-ordinates y1 and y2 show that the equations of motion can be written in matrix form, my ? = ? ky, where y is made up of y1 and y2. find the matrices m and k.

Amass attached to a spring is displaced from its equilibrium position by 5cm and released. the system then oscillates in simple harmonic motion with a period of 1s. if that same mass–spring system is displaced from equilibrium by 10cm instead, what will its period be in this case? a mass attached to a spring is displaced from its equilibrium position by and released. the system then oscillates in simple harmonic motion with a period of . if that same mass–spring system is displaced from equilibrium by instead, what will its period be in this case? a) 0.5sb) 2sc) 1sd) 1.4s