Acheerleader waves her "pom-pom" in shm with an amplitude of 18.0cm and a frequency of 0.850hz. find, a) the maximum magnitudes of acceleration and velocity. b) the acceleration and speed when the pom-pom’s coordinate is x = 9.00cm. c) the time required to move from equilibrium position directly to a point 12.0cm away.

Explanation:

Given that,

Amplitude of wave, A = 18 cm = 0.18 m

Frequency of wave, f = 0.85 Hz

(a) The maximum velocity in SHM is given by :

v = 0.96 m/s

The maximum acceleration in SHM is given by :

(b) The velocity of particle at point x is given by :

at x = 9 cm = 0.09 m

v = 0.83 m/s

The acceleration of particle at point x is given by :

(c) The equation of SHM is given by :

Let (at the particle is at x = 0 at t = 0 )

t = 0.13 seconds

Hence, this is the required solution.

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