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11:59:00 PM End Date: 12/14 W16 (SHM and Wave motion) Begin Date: 11/162017 12:0

ID: 1794923 • Letter: 1

Question

11:59:00 PM End Date: 12/14 W16 (SHM and Wave motion) Begin Date: 11/162017 12:01:00 AM-Due Date: 11/28/2017 (796) Problem 1: A 0.43-kg mass suspended from a spring undergoes simple harmonic oscillations with a period of 1.45s. How much mass, in kilograms, must be added to the object to change the period to 2.15 s? Gra Ded Pote Am=11.37 7 89 HOME sin) cotan) asin acos0 atan) acotan sinh) cosh tanh0 cos) tan() | Sub Atte 0% deta cotanh0 END Degrees C) Radians BACKSPACEDEL CLEAR Submit Hint I give upt Hints:, deduction per hint Hints remaining: 2 Feedback: 0% deduction per feedback.

Explanation / Answer

1)

as the time period of a spring mass system is given as

T = 2pi * sqrt(m/k)

T2/T1 = sqrt(m2/m1)

let the mass added is m

2.15/1.45 = sqrt((0.43 + m)/.43)

solving for m

m = 0.52 Kg

the mass added is 0.52 Kg