A certain vector has an x-component of —3 and a y-component of +4. What is the d

Question

A certain vector has an x-component of —3 and a y-component of +4. What is the direction of the vector given as an angle counterclockwise from the +x-axis.
a. 37°
b. 53°
c. 127°
d. 143°
e. 307°
f. 323°


The equilibrant of three forces is found to have a magnitude of 430 gwt at an angle of 30° counterclockwise from the +x-axis. What is the magnitude and direction of the resultant of the three forces? (Positive angles are counterclockwise from the +x-axis and negative angles are clockwise from the +x-axis.)
a. -430 gwt at 30°
b. 430 gwt at -30°
c. -430 gwt at -30°
d. 430 gwt at 210°
e. -430 gwt at 210°

Explanation / Answer

1.

=tan-1(4/-3) = 180 - tan-1(4/3)

= 126.87

= 127 degrees

Answer is C

2. Equilibriant of Forces is in the opposite direction to the resultant of the two forces,

MAgnitude of Resultant = MAgnitude of Equilibriant = 430 gwt

Angle = (180+30)

= 210 degrees

ANswer is D

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