Problem 13.11 The position of a mass oscillating on a spring is given by x =(8.2

Question

Problem 13.11

The position of a mass oscillating on a spring is given by x=(8.2cm)cos[2?t/(0.60s)].

Part A

What is the frequency of this motion?

Express your answer using two significant figures.

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Part B

When is the mass first at the position x=?8.2cm?

Express your answer using two significant figures.

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Problem 13.11

The position of a mass oscillating on a spring is given by x=(8.2cm)cos[2?t/(0.60s)].

Part A

What is the frequency of this motion?

Express your answer using two significant figures.

f =   Hz  

SubmitMy AnswersGive Up

Part B

When is the mass first at the position x=?8.2cm?

Express your answer using two significant figures.

t =   s  

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Explanation / Answer

x = 8.2 cos(2 / 0.6)t

f = 2 / (0.6 * 2pi)
= 0.5306 Hz.

At the required time t:
8.2 = 8.2 cos(2t / 0.6)
cos(2t / 0.6) = 1
2t / 0.6 = pi
t = 0.6 pi / 2

t= 3pi/10 sec
= 1.43 sec.

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