Intro to Oscillation Video Lessons

Concept

# Problem: An oscillator consists of a block attached to a spring (k = 316 N/m). At some time t, the position (measured from the system's equilibrium location), velocity, and acceleration of the block are x = 0.0979 m, v = -19.2 m/s, and a = -149 m/s2. Calculate (a) the frequency (in Hz) of oscillation, (b) the mass of the block, and (c) the amplitude of the motion.

###### FREE Expert Solution

(a)

Frequency:

$\overline{){\mathbf{f}}{\mathbf{=}}\frac{\mathbf{\omega }}{\mathbf{2}\mathbf{\pi }}}$

But we know that a = ω2x

Therefore, ω = sqrt(a/x) = sqrt(149/0.0979)

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###### Problem Details
An oscillator consists of a block attached to a spring (k = 316 N/m). At some time t, the position (measured from the system's equilibrium location), velocity, and acceleration of the block are x = 0.0979 m, v = -19.2 m/s, and a = -149 m/s2. Calculate (a) the frequency (in Hz) of oscillation, (b) the mass of the block, and (c) the amplitude of the motion.