Tactics Box 14.1 Identifying and Analyzing Simple Harmonic Motion Part A ( I alr

Question

Tactics Box 14.1 Identifying and Analyzing Simple Harmonic Motion

Part A ( I already found this answer!!)

The position of a 55 g oscillating mass is given by x(t)=(2.0cm)cos(10t), where t is in seconds. Determine the velocity at t=0.40s.

Express your answer in meters per second to two significant figures.

0.15

Part B **** This is what I need help on***

Assume that the oscillating mass described in Part A is attached to a spring. What would the spring constant k of this spring be?

Express your answer in newtons per meter to two significant figures.

0.15

Explanation / Answer

given,

mass = 55 g

angular frequency = 10

angular frequency = sqrt(spring constant / mass)

10 = sqrt(spring constant / 0.055)

spring constant = 5.5 N/m

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