Determine the magnitude of the moments of the force F about the x, y, and z...
Determine the magnitude of the moments of the force F about the x, y, and z axes. a. Solve the problem using a Cartesian vector approach. Express your answer in terms of the unit vectors i, j, and k. b. Solve the problem using a scalar approach. Express your answers using three significant figures separated by commas. 4 ft 3 ft 2 ft
3. Determine the magnitude of the moments of the force F about the x. y, and z axes. appre the problem (a) using a Cartesian vector approach and (b) using a scalar s ft 3 ft F (20i+ 80j-60k) lb
Please solve all parts in this problem neatly 3. Let f(x, y, ). g(y,z) and h(x,y,z) be C2 scalar functions. Prove the following identity: (a) By direct calculation (without using the vector identities) ( b) Using the vector identities. Clearly state which identities you have used . 3. Let f(x, y, ). g(y,z) and h(x,y,z) be C2 scalar functions. Prove the following identity: (a) By direct calculation (without using the vector identities) ( b) Using the vector identities. Clearly state...
4-47. Determine the magnitude of the moment of each of the three forces about the axis AB. Solve the problem (a) using a Cartesian vector approach and (b) using a scalar approach. IF 0N 25 N F -45 N SOLUTION a) Vector Analysis Position Vector and Force Vector: 1- {-1.5j} m - - 0 F:- {-60k}N F. - {8Si) N Unir Vector Along AB Aris: (2-0)i + (0 - 1.5) * V(2 - 0) + (0 - 15) F -...
Problem 2 Determine the moments of inertia of the shaded area about the x and y axes. Given: a = 3 in b = 3 in ab- c= 6 in d= 4 in r= 2 in
Name Lecture 8 Assignment Problem 1 Determine the moment of the force F about the aa axis. Express the result as a Cartesian vector. Given: F 600 lb a=5ft b 3 ft c-2 ft d 4 ft e 4 ft f 2 ft ca
2) The force that a magnetic field exerts on a charged particle is given by F = qö x B. A particle with mass m = 2.0x10 kg and charge q - +2.5x10°C has an initial speed of v = 4/2 x 103 m/s (in the x- y plane). The magnetic field vector and velocity vector are 5 and 0, respectively are displayed on the coordinate axis below. The angle between the vectors is 135 degrees. Use unit vector notation...
The 2.9-kN force F is applied at point A. (a) Compute the moment of F about point O, expressing it both as a scalar (positive if CCW, negative if CW) and as a vector quantity. (b) Determine the coordinates of the points on the x- and y-axes about which the moment of F is zero. 1.7 m, a 3,b 7. AssumexA 1.4 m, yA y, m A (x y a F b ----x, m
A 540-N force F acts at the end of a cable-supported bar as shown. a. Use the cross product to determine the moment the 540-N force creates at a moment center at A (M_A). Write the moment in vector notation based on the xyz coordinate axes. b. Using the x*y*z* coordinate axes and the cross product, determine M_A*. Write in vector notation. c. Confirm that the moments found in a and b have the same magnitude. Determine the magnitudes of...
The space structure is subjected to a force F = -5i + 3j – 7k (kips) applied at joint H. 1- Determine the moment of the force about line CG. 2- Determine the moment of the force about line DE. 3- Express the moments in Cartesian coordinates. 8 ft 8 ft