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A mass attached to a spring oscillates with a period of
Chapter 13, Problem 18P(choose chapter or problem)
A mass attached to a spring oscillates with a period of 3.35 s. (a) If the mass starts from rest at x = 0.0440 m and time t = 0, where is it at time t = 6.37 s? (b) Is the mass moving in the positive or negative x direction at t =6.37 s? Explain.
Questions & Answers
QUESTION:
A mass attached to a spring oscillates with a period of 3.35 s. (a) If the mass starts from rest at x = 0.0440 m and time t = 0, where is it at time t = 6.37 s? (b) Is the mass moving in the positive or negative x direction at t =6.37 s? Explain.
ANSWER:
Step 1 of 2
Part a
We are required to calculate the position of the mass at \(t=6.37 \mathrm{~s}\) .
The equation for position is,
\(\begin{array}{l} x=A \cos \left(\frac{2 \pi}{T} t\right) \\ x=0.0440 \times \cos \left(\frac{2 \pi}{3.35} \times 6.37\right) \mathrm{m} \\ x=0.036 \mathrm{~m} \end{array}\)
The mass will be at 0.036 m.