Recent content by Shambles

Thank you for your assistance. I believe I have constructed a response that is adequate by proving the vectors x,u,v to be elements of S-perp by continually showing that the dot product of the vectors with y (being an element of S) to equal 0 showing orthogonality showing them to be an element...

Homework Statement The Attempt at a Solution The terminology in this question confuses me into what I am actually trying to solve. It seems to me that S-perp would naturally be a subspace of real column vectors based on the fact that we specify that S\neq0. It goes on to mention...

Ah I see how when I change the limits of integration it removes the nasty sec^2(t) so all I'm left with is the integral of u^3 with u going from 1 to 2. Thanks.

Homework Statement Homework Equations The Attempt at a Solution Homework Statement Homework Equations u = 1+tant du = sec^2(t) dt dt = du / sec^2(t) The Attempt at a Solution It seems like I should be using substitution in the equation, however the exponent is...

Let's say we have a uniform beam with a weight of 10N that is 1m long. If there are two ropes holding it up that are positioned at x=0m and x=0.75m how would the gravitational force of the weight of the beam be distributed to the ropes? |-----------------| |-----------------|...

Homework Statement Homework Equations F=mg=(6kg)(9.81m/s^2)=58.86N Fx=(cos30)(58.86N) The Attempt at a Solution Obviously the triangle somehow interferes with the tension between the top of the pulley and the rope attached to the wall. What really confuses me is how the...

Ugh, that is so... dirty. Thanks, that was pretty simple.

Homework Statement Find g'(x) a(x)=x(18-x^2)^1/2 Homework Equations Answer stated as: a'(x)=(18-x^2)^1/2 - x^2/(18-x^2)^1/2 The Attempt at a Solution Having trouble with this solution. The chain rule states that f(x)g(x) = f'(x)g(x)+g'(x)f(x) so the first term in the solution is...

I thought that the net moment at a hinge was 0 as the distance from rotation is 0. Is this wrong?

I figured out the solution. Obviously the two torques must cancel each other out. (0.8h*F)-(Ftension*1h*cos(theta))=0 Ftension*cos(theta)=0.8F Ftension = 0.8F/cos(theta) NOT Ftension = 0.8Fcos(theta)

Homework Statement A flagpole of height h has a flag attached that is being blown by the wind with force F at a height of 0.8h. In order to prevent the flagpole from blowing over a rope is run from an anchor in the ground to the top of the flagpole at an angle \vartheta. What is the...

The question is asking for what values of x will the matrix have at least one repeated eigenvalue (algebraic multiplicity of 2 or greater). The matrix is | 3 0 0 | | 0 x 2 | So naturally a normal attempt to find the eigenvalue in a question with only intergers | 0 2 x | I would continue...

Thank you for clearing that up.

Question There are two blocks one of mass m and the other of mass 3m. The blocks are both start at rest on a frictionless surface and are connected by a spring which is initially compressed. The blocks are then released. If the final kinetic energy of the block of mass 3m is E what is the final...