The Displacement of an Object Oscillating on a Spring Is $\omega$

question 51

Multiple Choice

The displacement of an object oscillating on a spring is given by x(t) = x_mcos( $\omega$ t + $\phi$ ) . If the object is initially displaced in the negative x direction and given a negative initial velocity, then the phase constant $\phi$ is between:

• A) 0 and \(\pi\)/2 radians
• B) \(\pi\)/2 and \(\pi\) radians
• C) \(\pi\) and 3 \(\pi\)/2 radians
• D) 3 \(\pi\)/2 and 2 \(\pi\) radians
• E) none of the above (\(\phi\) is exactly 0, \(\pi\)/2, \(\pi\), or 3 \(\pi\)/2 radians)

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