Question

In: Mechanical Engineering

The rigid structural member is subjected to a couple consisting of the two 100-N forces. Replace this couple by an equivalent couple consisting of the two forces P and -P, each of which has a magnitude of 400 N. Determine the proper angle θ.

The rigid structural member is subjected to a couple consisting of the two 100-N forces. Replace this couple by an equivalent couple consisting of the two forces P and -P, each of which has a magnitude of 400 N. Determine the proper angle θ.  

Solutions

Expert Solution

Solution

The original couple is counterclockwise when the plane of the forces is viewed from above, and its magnitude is

M= F*d=100(0.1)=10 N.m counterclockwise

The forces P and -P produce a counterclockwise couple

M=400(0.040) cosθ

Equating the two expressions gives

10=(400)(0.040) cosθ θ=cos-1 10/16=51.3°  

             


Related Solutions

Two forces, 80 N and 100 N acting at an angle of 60° with each other,...
Two forces, 80 N and 100 N acting at an angle of 60° with each other, pull on an object. a) What single force would replace the two forces? b) What single force (called the equilibrant) would balance the two forces? Solve graphically (using protractor and ruler) and algebraically (components method). please anserw in a way i can understand and please do the graph.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT