A particle executing simple harmonic motion has angular frequency 6.28 s−1 and amplitude 10 cm. Find (x) the speed when the displacement is 6 cm, from the mean position, (y) the speed at t=16 s assuming that the motion starts from rest at t=0.(i) 25.1 cms−1 (ii) 54.4 cms−1 (iii) 50.2 cms−1 (iv) 27.2 cms−1

A particle executing simple harmonic motion has angular frequency 6.28

1.	A particle executing simple harmonic motion has angular frequency 6.28 s−1 and amplitude 10 cm. Find (x) the speed when the displacement is 6 cm, from the mean position, (y) the speed at t=16 s assuming that the motion starts from rest at t=0.(i) 25.1 cms−1 (ii) 54.4 cms−1 (iii) 50.2 cms−1 (iv) 27.2 cms−1
Answer» A particle executing simple harmonic motion has angular frequency $6.28 s^{-} 1$ and amplitude $10 c m$ . Find $(x)$ the speed when the displacement is $6 c m$ , from the mean position, $(y)$ the speed at $t = \frac{1}{6} s$ assuming that the motion starts from rest at $t = 0$ . (i) $25.1 c m s^{- 1}$ (ii) $54.4 c m s^{- 1}$ (iii) $50.2 c m s^{- 1}$ (iv) $27.2 c m s^{- 1}$

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