   Chapter 13, Problem 17P

Chapter
Section
Textbook Problem

A block-spring system consists of a spring with constant k = 425 N/m attached to a 2.00-kg block on a frictionless surface. The block is pulled 8.00 cm from equilibrium and released from rest. For the resulting oscillation, find the (a) amplitude, (b) angular frequency, (c) frequency, and (d) period. What is the maximum value of the block’s (e) velocity and (f) acceleration?

a)

To determine
The amplitude of the oscillation.

Explanation

Given info: The force constant of the spring is given 425Nm-1 . The mass of the block is 2.00 kg. The block is pulled 8.00 cm from the equilibrium position.

Explanation:

The amplitude A is the maximum distance of the object from its equilibrium position. In the absence of friction, an object in simple harmonic motion oscillates between the positions x = -A and x = +A

b)

To determine
The angular frequency of the block-spring system.

c)

To determine
The frequency of the block-spring system.

d)

To determine
The period of the oscillation.

e)

To determine
The maximum value of the block’s velocity.

f)

To determine
The maximum acceleration of the block.

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