a) Using the position vector from A to C, calculate the moment about segment AB due to force F
b) Using the position vector from B to C, calculate the moment about segment AB due to force F
The general process (not referenced to Figure 1) to calculate the moment of a force about a specified axis is as follows:
The magnitude of a moment about a line segment connecting points P and Q due to a force F applied at point R (with R not on the line through P and Q ) can be calculated using the scalar triple product,
MPQ=uPQ · r × F
where r is a position vector from any point on the line through P and Q to R and u_{P Q} is the unit vector in the direction of line segment P Q. The unit vector u_{P Q} is then multiplied by this magnitude to find the vector representation of the moment.
As shown in the figure, the member is anchored at A and section A B lies in the x-y plane. The dimensions are x1=1.6 m, y1=1.8 m, and z1=1.5 m. . The force applied at point C is F=[-165 i+95 j+190 k] N
a) Using the position vector from A toC, calculate the moment about segment AB due...
The general process (not referenced to Figure 1) to calculate the moment of a force about a specified axis is as follows:The magnitude of a moment about a line segment connecting points P and Q due to a force F applied at point R (with R not on the line through P and Q ) can be calculated using the scalar triple product,MPQ=uPQ · r × Fwhere r is a position vector from any point on the line through P...
Learning Goal: To gain insight into the independence of the scalar triple product from the point on the line chosen as the reference point of the calculation. The general process (not referenced to Figure 1) to calculate the moment of a force about a specified axis is as follows: The magnitude of a moment about a line segment connecting points P and Q due to a force F applied at point R (with R not on the line through P...
Part C - Calculating the moment about AB using the position vector BC As shown in the figure, the member is anchored at A and 1.6 m, 1 1.7m, and z1 1.6 m. The force applied Figure 1) section AB lies in the x-y plane. The dimensions are c Using the position vector from B to C, calculate the moment about segment AB due to force F Express the individual components to three significant figures, if necessary, separated by commas....
Please answer this ASAP!! Moment of a Force-Vector Formulation Learning Goal To use the vector cross product to calculate the moment produced by a force or forces, about a specified point on a member The moment of a force F about the moment axis passing through O and perpendicular to the plane containing o and F can be expressed using the veotor cross product, Mo x F. n a properly constructed Cartesian coordinate system he vector cross product can be...
To understand two different techniques for computing the torque on an object due to an applied force.Imagine an object with a pivot point p at the origin of the coordinate system shown (Figure 1). The force vector F⃗ lies in the xy plane, and this force of magnitude F acts on the object at a point in the xy plane. The vector r⃗ is the position vector relative to the pivot point p to the point where F⃗ is applied.The torque on the...
Question 4 (20 points) Moment about a Line Find the moment about line segment OA caused by the applied force F. Note: Point A is located in the x-z plane; Point B is located in the x-y plane F=< -10, 30, -8 > KN 2 m
Problem 3.5 Consider the L-shaped beam illustrated in Figure 3.34. The beam is mounted to the wall at A, the arm AB extends in the z direction, and the arm BC extends in the x direction. A BE force E is applied in the z direction at the free-end of the beam. (a) If the lengths of arms AB and BC are a and b, respectively and the magnitude of the applied force is F, observe that the position vector...
Name (25 %) A force acts along line AB in the figure below. Determine, as a vector, the moment of this force about the line CD I. 2 m 4 m 3 m 4 m 3 m 2 m 2 m
1. Find the moment about point O due to the force P. 2. Find the moment about point O due to the combined forces Q and R 3. Find the moment about point B due to the combined forces Q and R 4. Find the moment about point A due tot the combined forces Q and R 5. Are the moments about point O, B, A the same due to the combined forces Q and R. Why? 6. Don't the...
moment about an axis) Problem 4,61 Part A Determine the magnitude of the moment of the force P-sol-28j-sok) N about the baseine AB of the pode 1) Express your answer to three significant figures and include the appropriate units ВА + M-176 Nom Submit Ana Best Answer Figure tot 1 * Incorrect; Try Again: one attempt remaining < Return to Assignment Provide Feedback a Search or type URL NE $ 2 3 5 6 7 8 9 P W E...