Chapter 11, Problem 6P

To determine

To Draw: The table indicating on $\mathrm{x}\mathrm{v}\mathrm{s}\mathrm{t}$ .

Explanation of Solution

Given info:

The given points for the oscillations are $\mathrm{t}=0,\frac{1}{4}\mathrm{T},\frac{1}{2}\mathrm{T},\frac{3}{4}\mathrm{T},\mathrm{T},\frac{5}{4}\mathrm{T}$ where, T is the period of oscillations.

Table:

$\mathrm{x}$	$0$	$\frac{1}{4}\mathrm{T}$	$\frac{1}{2}\mathrm{T}$	$\frac{3}{4}\mathrm{T}$	$\mathrm{T}$	$\frac{5}{4}\mathrm{T}$
$\mathrm{t}$	$\mathrm{A}$	$0$	$-\mathrm{A}$	$0$	$\mathrm{A}$	$0$

Graph:

Using the given points, draw the graph.

  

Conclusion:

The graph resembles cosine curve and its general equation can be written as: $\mathrm{x}=\mathrm{A}\times \cos (\mathrm{\omega }\mathrm{t})$ .