For the hook support shown, determine by trigonometry the magnitude and direction of the resultant of the two forces applied to the hook

Question-Answer › Category: Engineering Mechanics › For the hook support shown, determine by trigonometry the magnitude and direction of the resultant of the two forces applied to the hook

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GME asked 11 months ago

For the hook support shown, determine by trigonometry the magnitude and direction of the resultant of the two forces applied to the hook.

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Mazurek Gravity answered 11 months ago

Step No: 1

Draw a triangle with the forces as shown:

Here, R is the resultant of the two forces.

Step No: 2

Apply law of cosines to find the resultant R.

Therefore, the resultant of two forces applied to the hook is .

Step No: 3

Apply sine rule to find the direction of resultant force.

Substitute 413.569lb for R.

Find the angle of the resultant with respect to the horizontal.

Substitute for .

Therefore, the angle made by the resultant with the resultant is