Consult interactive solution 10.37 to explore a model for solving this problem. a spring is compressed by 0.0647 m and is used to launch an object horizontally with a speed of 2.08 m/s. if the object were attached to the spring, at what angular frequency (in rad/s) would it oscillate?

Explanation:

Given that,

The compression in the spring, x = 0.0647 m

Speed of the object, v = 2.08 m/s

To find,

Angular frequency of the object.

Solution,

We know that the elation between the amplitude and the angular frequency in SHM is given by :

A is the amplitude

In case of spring the compression in the spring is equal to its amplitude

So, the angular frequency of the spring is 32.14 rad/s.

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