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Solution: Two workers pull horizontally on a heavy box, but
Chapter 1, Problem 1.59(choose chapter or problem)
Two workers pull horizontally on a heavy box, but one pulls twice as hard as the other. The larger pull is directed at 21.0 west of north, and the resultant of these two pulls is 460.0 N directly northward. Use vector components to find the magnitude of each of these pulls and the direction of the smaller pull.
Questions & Answers
QUESTION:
Two workers pull horizontally on a heavy box, but one pulls twice as hard as the other. The larger pull is directed at 21.0 west of north, and the resultant of these two pulls is 460.0 N directly northward. Use vector components to find the magnitude of each of these pulls and the direction of the smaller pull.
ANSWER:Step 1 of 2
Given,
The net force acting on the box,
The direction of the larger pull iswest of the north.
Let us assume that the larger pull is and the smaller pull is .
Thus,
The net force is given by,
Clearly, the x-component of the net force is zero.
Thus,
The negative sign indicates that the angle measured is in the clockwise direction. And as we used sine for the x-component, the direction of the smaller pull is east of north.