(a) A body moving with simple harmonic motion has velocities $10 \mathrm{~m} / \mathrm{s}$ and $4 \mathrm{~m} / \mathrm{s}$ at 2 and 4 m distances from mean position. Find the amplitude and time period of the body.
Explanation
The amplitude of the body is the maximum displacement from the mean position. The time period of the body can be calculated using the formula T = 2π √(m / k). However, since the velocities are given, we can use the formula v_max = Aω to find the angular frequency ω.
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