Question

Which statement is correct about the vector F acting parallel to the direction of the motion of the rolling body?

(a) F= Fcos β + Fcos α + Fcosγ

(b) F= Fsin β + Fcos α + Fcosγ

(c) F= Fcos β + Fsin α + Fcosγ

(d) F= Fcos β + Fcos α + Fsinγ

This question was addressed to me in my homework.

I'd like to ask this question from Rolling Resistance in portion Friction of Engineering Mechanics

Answer 1

Correct answer is (a) F= Fcos β + Fcos α + Fcosγ

The explanation: As we know the α, β and γ are the angles made by the x, y and z-axis respectively. Thus, is the magnitude of the vector is F, the F= Fcos β + Fcos α + Fcosγ. Which means the force is the resultant of all its axis’ components. The force driving the rolling motion of the body can be divided like this.