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An oscillator consists of a block attached to a spring (k
Chapter , Problem 17(choose chapter or problem)
An oscillator consists of a block attached to a spring (k = 400 N/m). At some time t, the position (measured from the system’s equilibrium location), velocity, and acceleration of the block are x = 0.100 m, v = -13.6 m/s, and \(a=-123 \mathrm{~m} / \mathrm{s}^{2}\). Calculate
(a) the frequency of oscillation,
(b) the mass of the block, and
(c) the amplitude of the motion.
Questions & Answers
QUESTION:
An oscillator consists of a block attached to a spring (k = 400 N/m). At some time t, the position (measured from the system’s equilibrium location), velocity, and acceleration of the block are x = 0.100 m, v = -13.6 m/s, and \(a=-123 \mathrm{~m} / \mathrm{s}^{2}\). Calculate
(a) the frequency of oscillation,
(b) the mass of the block, and
(c) the amplitude of the motion.
ANSWER:Step 1 of 5
Oscillator follows simple harmonic motion.
The given data is as follows:
Acceleration: \(a=-123 \mathrm{~m} / \mathrm{s}^{2}\)
Velocity = \(v=-13.6 \mathrm{~m} / \mathrm{s}\)
Displacement = \(x=0.100 \mathrm{~m}\)