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A simple harmonic motion is represented ...

A simple harmonic motion is represented by
`x=10sin(20t+0.5).`
Write down its amplitude, angular frequency, frequency, time period and initial phase if displacement is measured in metres and time seconds.

Text Solution

AI Generated Solution

To solve the problem, we will analyze the given equation of simple harmonic motion (SHM) and extract the required parameters step by step. Given the equation of SHM: \[ x = 10 \sin(20t + 0.5) \] ### Step 1: Identify the Amplitude The amplitude \( r \) is the coefficient of the sine function in the SHM equation. - From the equation, we see that the amplitude \( r = 10 \) meters. ...
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Knowledge Check

  • A simple harmonic motion is represented by x(t) = sin^(2)omega t - 2 cos^(2) omega t . The angular frequency of oscillation is given by

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