Given 3 forcevectors as shown in part C (attached file).

With the measured directions for the first and second quadrant forces, and the magnitude of the force measurement along the negative y direction, calculate the theoretical tensions in the cords that are in the first two quadrants (use the summation of x and y components equal zero). Compare each of these theoretical tensions with the measured experimentalvalues using a percent difference.

A uniform steel beam has a mass of 1178kg. On it is resting half of an identical beam, as shown in the figure attached. What is the vertical support at the right end. How about at the left end?

In a simulation, m1 is 1.0 kg and m2 is 1.1 kg. Mass m2 rests on the floor that exerts a normal force, FN, on m2. There is no motion (i.e.. the system is in equilibrium). What is the normal force, FN, and what is the tension, T, in the rope? T (at t = 2.54 s) = ______. At equilibrium: FN + T - m2 ? g = 0. Then FN = _______.

1 Given a = 9i - 5j and b = 7i-4j, express i and j in terms of a and b
2 Given a=<4,5,-3> and b =<4,-2,2> determine whether a and b are parrallel, perpendicular, or neither.
3 Given F = 4i -2k;..... P(0,1,0) and Q(4,0,1) find the work W done by the force (F)moving a particle in a straight line from P to Q.
4 Given a

A body of mass 50 kg is suspended by two light, inextensible cables of lengths 15 m and 20 m from rigid supports placed 25 m apart on the same level. Find the tensions in the cables. Note that, by convention, "light" means "of negligible mass." Take g = 10 m/(s^2). This is an application using vector addition.

To insure a point of stable equilibrium, the necessary and sufficient conditions on the potential energy of a physical system, U = U(x), are that dU/dx = 0. What does the second derivative at that point have to be?

1) For which values of k are the following vectors u and v orthogonal?
a) u = (2,1,3) , v = (1,7,k)
b) u = (k,k,1) , v = (k,5,6)
2) Let u,v be orthogonal unit vectors. Prove that d(u,v) = 2^(1/2)
(The questions are unrelated)

Problem:
Problem:
a. what is the force acting through (F) required to hold the lever in static equilibrium? Indicate clearly the Force and resistance vectors due to the weight, the force moment arm and the resistance moment arm, as well as the axis. Note that the weight is 40 kg and gravity is g=9.81 m/s2.
b. What would be

Two vectors are given by A = -3i + 7j -4k and
B = 6i -10j + 9k. Evaluate the quantities:
a) cos^-1 [A.B/AB] ( the . between the A.B is a dot product)
b) sin^-1 [ |A x B|/AB]
c) Which gives the angle between the vectors.
I haven't a clue as to what to do with this problem. Do I use the cross products of unit vectors t

1. Four charges are held together in place as shown (see attachment). Q1 = +30 micro C and Q2 = Q3 = Q4 = +15 micro C. Determine the magnitude and direction of the total force on charge 2.
1a. Draw all forcevectors on charge 2 due to every other charge. Label each vector accordingly with two subscripts. Draw the vector