B
Assume north and east as two sides of a right angled triangle. magnitude of the distance is then given by the length of the hypotenuse which is
where a = 1.2 km north
and b = 1.6 km east
magnitude = 2 km
Direction is given by the angle between them, that is atan(a/b) = 36.86 deg north of east = 53.1 deg east of north.
The given magnitude of forces of F₁ = F₄, F₂ = F₃, F₁ = 2·F₂, give the
forces that exert zero net torque on the disk as the options;
(B) F₂
(D) F₄
<h3>How can the net torque on the disk be calculated?</h3>The given parameters are;
F₁ = F₄
F₂ = F₃
F₁ = 2·F₂
Therefore;
F₄ = 2·F₂
In vector form, we have;
Clockwise moment due to F₄, M₁ =
Therefore;
Counterclockwise moment due to F₂ =
Given that the clockwise moment due to F₄ = The counterclockwise moment due to F₂, we have;
Two forces that combine to exert zero net torque on the disk are;
F₂, and F₄
Which are the options; (B) F₂, and (D) F₄
Learn more about the resolution of vectors here: