A spring, of negligible mass and which obeys Hooke\'s Law supports a mass M on a

Question

A spring, of negligible mass and which obeys Hooke's Law supports a mass M on an incline which has negligible friction. The figure below shows the system with mass M in its equilibrium position. The spring is attached to a fixed support at P. The spring in its relaxed state is also illustrated. Mass M has a value of 205 g. Calculate k, the spring constant. Incorrect. Tries 1 / 99 Previous Tries The mass oscillates when given a small displacement from its equilibrium position along the incline. Calculate the period of oscillation. Incorrect. Tries 1/99 Previous Tries

Explanation / Answer

strching x = 20*0.707 =0.1414 m

F=kx

k=mg/x=0.205*9.8/0.1414 = 14.42 N/m

b.w^2=k/m=14.42/0.205

f=1.33 Hz

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