Answer:
F = 2985.125 N
Explanation:
Given that,
The radius of curvature of the roller coaster, r = 8 m
Speed of Micheal, v = 17 m/s
Mass of body, m = 65 kg We need to find the net force acting on Micheal. Net force act the bottom of the circle is given by :
So, the net force is 2985.125 N.
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: