This Pre-lab is due when you come to the lab to do the experiment. Staple any wo

Question

This Pre-lab is due when you come to the lab to do the experiment. Staple any work sheets used to this pre-lab test. Be sure to print your name on all sheets. 1. In part one of this experiment, a 0.35 kg mass hangs vertically from a spring and an elongation below the support point of the spring of 7.50 cm is recorded. With 1.05 kg hanging on the spring, a second elongation of 11.50 cm is recorded. Calculate the spring constant k in Newtons per meter (N/m). (Note the equilibrium position is not zero.) 2. The same apparatus is used in part two of this experiment. At the elongation of 0.095 m, a frequency of 300 rev/min is recorded. Then at the elongation of 1.2 cm, a frequency of 24000 rev/sec is recorded. Calculate the effective mass of the system in kilograms. (Remember to convert to SI. w-f 2/60 switches from rev/min to rad/sec.) meff

Explanation / Answer

here,

let the spring constant be K and natural length be l

when 0.35 kg is hanging

equating the forces vertically

0.35 * g = K * (0.075 - l)

0.35 * 9.81 = K * (0.075 - l) ....(1)

when 1.05 kg is hanging

equating the forces vertically

1.05 * g = K * (0.115 - l)

1.05 * 9.81 = K * (0.115 - l) ....(2)

from (1) and (2)

K = 171.7 N/m

l = 0.055 m

the spring constant is 171.7 N/m

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