   Chapter 13, Problem 63AP

Chapter
Section
Textbook Problem

An object of mass 2.00 kg is oscillating freely on a vertical spring with a period of 0.600 s. Another object of unknown mass on the same spring oscillates with a period of 1.05 s. Find (a) the spring constant k and (b) the unknown mass.

(a)

To determine
The spring constant of the spring.

Explanation

Given info: The mass of the object is 2.00kg . The period is 0.600s .

The period of oscillation of an object which is undergoing simple harmonic motion is given by,

T=2πmk

• T is the period of oscillation
• m is the mass of the object
• k is the spring constant

Rewrite in terms of k.

k=4π2mT

Substitute 2

(b)

To determine
The unknown mass of the object with a period of 1.05s .

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