The position of a particle is given by the expression x =(4.00 m) cos(6.00 t + 1

Question

The position of a particle is given by the expression x =(4.00 m) cos(6.00t + 1/4), where x is in metersand t is in seconds. (a) Determine the frequency and period of themotion.
1 Hz
2 s
(b) Determine the amplitude of the motion.
3 m
(c) Determine the phase constant.
4 rad
(d) Determine the position of the particle at t =0.250 s.
5 m (a) Determine the frequency and period of themotion.
1 Hz
2 s
(b) Determine the amplitude of the motion.
3 m
(c) Determine the phase constant.
4 rad
(d) Determine the position of the particle at t =0.250 s.
5 m

Explanation / Answer

From the given equation = 2 / T = 6.0 then T = 2 / 6.0 = 0.333 s frequency f = 1/T = 3 Hz (b) Amplitude a = 4.0m (c) Phase constant = 0.25 (d) Displacement      x = 4.0 cos( 6*(0.25) + (0.25) = 3.98 m

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