A 0.23 kg mass is suspended on a spring which stretches a distance of 5.3 cm. The mass is then pulled down an additional distance of 11 cm and released. What is the displacement from the equilibrium position with the mass attached (in cm) after 0.33 s? Take up to be positive and use g = 9.81 m/s2. The initial condition should be set as y(0)=-A because the mass is pulled below the equilibrium (the origin along y-axis) and released. Hint: Get k from the displacement as it was done in this example. The equation will have ω = (k/m)1/2, and the phase will be such that it will be a cosine with a negative amplitude, because it starts at a negative displacement.

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
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A 0.23 kg mass is suspended on a spring which stretches a distance of 5.3 cm. The mass is then pulled down an additional distance of 11 cm and released. What is the displacement from the equilibrium position with the mass attached (in cm) after 0.33 s? Take up to be positive and use g = 9.81 m/s2. The initial condition should be set as y(0)=-A because the mass is pulled below the equilibrium (the origin along y-axis) and released.

Hint: Get k from the displacement as it was done in this example. The equation will have ω = (k/m)1/2, and the phase will be such that it will be a cosine with a negative amplitude, because it starts at a negative displacement.

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