The position of a particle is given by the expression x = 6.00 cos (2.00t + /2),

Question

The position of a particle is given by the expression x = 6.00 cos (2.00t + /2), where x is in meters and t is in seconds. (a) Determine the frequency Hz (b) Determine period of the motion. (c) Determine the amplitude of the motion. (d) Determine the phase constant. what is the phase constant in the equation x(t) = cos(at + )? rad e) Determine the position of the particle at t0.330 s You know the equation giving the position of the particle as a function of time. How do you use that equation to determine the position at a specific value of the time? m

Explanation / Answer

D) comparing with standard equation,

phase constant = pi/2

E) x = 6 cos (2pi*0.33 +pi/2)

= - 5.258 m answer

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