   Chapter 13, Problem 75AP

Chapter
Section
Textbook Problem

A 2.00-kg block hangs without vibrating at the end of a spring (k = 500. N/m) that is attached to the ceiling of an elevator car. The car is rising with an upward acceleration of g/3 when the acceleration suddenly ceases (at t = 0). (a) What is the angular frequency of oscillation of the block after the acceleration ceases? (b) By what amount is the spring stretched during the time that the elevator car is accelerating?

a)

To determine
The angular frequency of oscillation of the block.

Explanation

Given info: The mass of the block is 2.00kg . The spring constant of the spring is 500Nm-1 . The upward acceleration of the accelerating car is g3 .

The angular frequency is defined as,

ω=km

• ω is the angular frequency
• k is the spring constant
• m is the mass of the object

Substitute 2

b)

To determine
The amount by which the spring is stretched.

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