HINT: (VECTOR ADDITION) THE AXIS OF ROTATION PASSES THROUGH theta. FIGURE-3 Figu
ID: 1816736 • Letter: H
Question
HINT: (VECTOR ADDITION) THE AXIS OF ROTATION PASSES THROUGH theta. FIGURE-3 Figure 3 shows three forces acting on a pipe assembly that can rotate through an axis passing through the origin. Distances are in meters and forces are in Newton, Two forces are coming out of the paper and one force is going into the paper as indicated. The position vector for each force is measured with respect to the origin. The Z axis is perpendicular to the paper passing through the origin. Find the individual moments and the net moment. Remember that we are dealing here with vector quantities. Hint: Notice the position of the X and Y axis. The Z axis is perpendicular to the paper. Make sure you get the i. j and k unit vectors in the correct directions.Explanation / Answer
position vector of F1 = -1.25i
force F1 = 180k
torque produced by F1 = (-1.25i) X (180k)
= 225j
position vector of F2 = -1.25i + 0.5j
force F2 = 20k
torque produced by F2 = (-1.25i +0.5j) X (20k)
= 25j + 10i
position vector of F3 = -2i + 0.5j
force F3 = -150k
torque produced by F3 = (-2i +0.5j) X (-150k)
= -300j -75i
net torque = torque1+torque2+ torque3
= 225j+25j+10i-300j-75i
= 250j-300j-65i
= -50j-65i
= -(65i+50j)
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.