For the member acted on by F_A^vector, F_B^vector, F_C^vector and M_D^vector as
ID: 3163517 • Letter: F
Question
For the member acted on by F_A^vector, F_B^vector, F_C^vector and M_D^vector as shown, calculate an equivalent force and moment acting at C. The moment produced by F_B^vector about point B is equivalent to the moment produced by F_B^vector about point C. TRUE or FALSE Reason: The moment at point B due to the combination of forces F_A^vector and F_B^vector is equivalent to the moment at point C due to the combination of forces F_A^vector and F_B^vector. TRUE or FALSE Reason: The moment at point B due to M_D^vector is equivalent to the moment at point C due to M_D^vector. TRUE or FALSE Reason:Explanation / Answer
resolve the forces along x and y directions
Fx = FA Cos(70) - FB Cos(70) =0
Fy = -200 N + FASin(70) - FASin(70) = -200 N
Taking Moments about C ( CW moments -ve)
FC *0 - FB Cos(70) *0.025 + FASin(70) *0.08
= 33.31 N-m , FB x-comp and FA y-comp produce 0 moment about C.
MD = -100 N-m
Net torque at C = 33.31 -100 = 66.69 N-m
b) TRUE , they are paallel forces and the perpendicular disatnce is same.
c) FALSE , FB produce no moment about B
d) TRUE , moment already takes care of the distance and is same about any point in the plane.