Force A, at 260 pounds, and force B, at 710 pounds, make an angle of 95° with each other. Represent their respective vectors as complex numbers written in trigonometric form and solve for the resultant force to one decimal place.
A) Trigonometric form: 260(cos 0° + i sin 0°) + 710(cos 95° + i sin 95°)
B) Trigonometric form: 710(cos 0° + i sin 0°) + 260(cos 95° + i sin 95°)Resultant force: 734.5 pounds
C) Trigonometric form: 260(cos 95° + i sin 95°) + 710(cos 95° + i sin 95°)Resultant force: 734.5 pounds
D) Resultant force: 734.5 pounds

Question

Quizplus · Accepted Answer

The forces can be represented as complex numbers in trigonometric form, with Force A along the x-axis (0°) and Force B at a 95° angle to it. The resultant force is calculated by adding these vectors, which involves trigonometric operations, not directly provided in the options but leading to the correct representation in option A.

Force A, at 260 Pounds, and Force B, at 710