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A particle of mass m = 1 kg oscillates ...

A particle of mass `m = 1 kg` oscillates simple harmonically with angular frequency `1 rad//s`. Find the phase of the particle at `t = 1 s and 2 s`. Start calculating time when the particle moves up passing through the mean position.

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To solve the problem step by step, we will follow the principles of simple harmonic motion (SHM) and the given parameters. ### Step-by-Step Solution: 1. **Understand the Problem**: We have a particle of mass \( m = 1 \, \text{kg} \) that oscillates with an angular frequency \( \omega = 1 \, \text{rad/s} \). We need to find the phase of the particle at \( t = 1 \, \text{s} \) and \( t = 2 \, \text{s} \), starting from when the particle is at the mean position (displacement \( x = 0 \)). 2. **Displacement Equation**: The displacement \( x \) of a particle in SHM can be described by the equation: \[ ...
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