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An object is attached to a horizontal spring. A graph is made of the motion of t

ID: 2252911 • Letter: A

Question

An object is attached to a horizontal spring. A graph is made of the motion of the object (position vs.

time). The graph is shown below. For this motion, find the following: (a) the amplitude, (b) the period,

(c) the frequency, (d) the angular frequency, (e) the maximum speed and acceleration, and (f) write the

equation for its position in terms of a sine function using the appropriate numbers.

An object is attached to a horizontal spring. A graph is made of the motion of the object (position vs. time). The graph is shown below. For this motion, find the following: (a) the amplitude, (b) the period, the frequency, (d) the angular frequency, (e) the maximum speed and acceleration, and (f) write the equation for its position in terms of a sine function using the appropriate numbers.

Explanation / Answer


T = 10 s

a) A = 5m

b) T = 10s

c) f = 1/T = 0.1 Hz

d) W = 2*pi*f = 0.628 rad/s

e) V max= A*W = 3.14 m/s

f) y = A*sin(Wt) = 5*sin(0.628t)

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