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Increasing the spring constant k of a mass-and-spring system causes what kind of

ID: 1299968 • Letter: I

Question

Increasing the spring constant k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's mass m.)

There is no change in the frequency.

The frequency increases if the ratio k/m is less than or equal to 1 and decreases if the ratio k/m is greater than 1.

The frequency increases if the ratio k/m is greater than or equal to 1 and decreases if the ratio k/m is less than 1.

The frequency decreases.

The frequency increases.

There is no change in the frequency.

The frequency increases if the ratio k/m is less than or equal to 1 and decreases if the ratio k/m is greater than 1.

The frequency increases if the ratio k/m is greater than or equal to 1 and decreases if the ratio k/m is less than 1.

The frequency decreases.

The frequency increases.

Explanation / Answer

f = 1/2pie * sqrt(k/m)

if k increases frequency also increases