Forces of 225 N and 60 N act on the tooth of a spur gear (Figure P4.8). The forces are perpendicular to one another, but they are inclined by 20° relative to the x-y coordinates. Determine the magnitude and direction of their resultant. Use the

(a) Vector algebra and

(b) Vector polygon methods.

Compare the answers from the two methods to verify the accuracy of your work.

**Figure P4.8**

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