Use the Parallelogram Rule to Find the Magnitude of the Resultant

question 37

Essay

Use the parallelogram rule to find the magnitude of the resultant force for the two forces shown in the figure. Round to
one decimal place.
-Explain what is wrong with the following solution for the equation $\tan 3 \theta = \sqrt { 3 }$ in the interval $[ 0,2 \pi )$ .
$\tan 3 \theta = \sqrt { 3 }$
$\tan \theta = \frac { \sqrt { 3 } } { 3 }$
$$\theta = \frac { \pi } { 6 } \text { or } \theta = \frac { 7 \pi } { 6 }$$

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Definitions:

Lower Control Limit

A statistical boundary in quality control processes, below which a process variation is considered non-random and indicative of a systemic issue needing correction.

Range

The difference between the highest and lowest values in a data set, used as a measure of statistical dispersion.

Natural Causes

Factors that affect events or conditions based on processes inherent to the natural world, as opposed to human-made influences.

Assignable Causes

Factors identified as reasons for variation in a process, which can be isolated and where corrective action can be applied.