Consider the following data for an experiment to study the spring constant by dy

Question

Consider the following data for an experiment to study the spring constant by dynamic method:
Number of oscillations, N = 25
Load M1 = 120 gm; average time for N oscillations = 11.0 seconds
Load M2 = 280 gm; average time for N oscillations = 16.9 seconds
Calculate the spring constant k. (Note that the mass of the hanger is not given.) Consider the following data for an experiment to study the spring constant by dynamic method:
Number of oscillations, N = 25
Load M1 = 120 gm; average time for N oscillations = 11.0 seconds
Load M2 = 280 gm; average time for N oscillations = 16.9 seconds
Calculate the spring constant k. (Note that the mass of the hanger is not given.)

Explanation / Answer

N= 25
M1 = 120 gm ,
average time for N oscillations = 11.0 seconds
time period T1 = 11/25 = 0.44 s
from T = 2M1/k

solving spring constant k = 24.445 N/m

case 2 ) M2 = 280 gm = 0.280 kg ,

average time for N oscillations = 16.9 seconds

T2 = 16.9/25 = 0.676

from T2 = 2M2/k = 24.4 N/m

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