Question

PROB.7 (EXTRA CREDIT) Inside a cylinder with frictionless walls, a disc of mass M = 4.Okg is dropped from a height H = 3.0m above a spring of negligible mass and equilibrium length L = 75.0cm. If the length of the spring at its maximum compression is 55.0cm what is the value in Nm)of the spring's stiffness constant k? м н T L 1

Answer 1

Solution:

From the information given,

Using conservation of energy,

mg[H + L] = mgx + 1/2 k[L-x]²

4*9.81*[3 + 0.75] = 4*9.81*0.55 + 0.5*k[0.75 - 0.55]²

k = 6278.4 N/m.

I hope you understood the problem and got your answers, If yes rate me!! or else comment for a better solutions.