Homework Statement
Are the columns of this matrix linearly independent?
1...3...-2
0...-8...11
0...0...1
0... 0... 0
(periods are just to make spacing clear)
The Attempt at a Solution
What is confusing me is the last row of zeros. If a set of vectors contains the zero vector, it is linearly...
http://filesaur.us/files/1858/pulley/
Derivation of equation for mass on pulley and displacement
Sorry that the picture stinks, but its all I got. The system is in equilibrium.The counter mass on the left is mass A and the mass on the right is mass B, both of mass m. The center mass of...
Oh no, I stopped looking at the problem for a while. But I decided to come back to it, and I had posted another question, but in the meantime I figured out the answer so I edited my post to the one you quoted. No worries :)
A block of mass m1 = 2.05 kg and a block of mass m2 = 5.95 kg are connected by a massless string over a pulley in the shape of a solid disk having radius R = 0.250 m and mass M = 10.0 kg. These blocks are allowed to move on a fixed block-wedge of angle = 30.0°. The coefficient of kinetic...
At first I didn't see where you were going, but then I realized that work = change in energy. Which enabled me to use that wonderful equation
delta K = .5I(final angular velocity^2 - initial angular velocity^2). Thanks for the hint!
A top has a moment of inertia of 4.40 10-4 kgm2 and is initially at rest. It is free to rotate about the stationary axis AA'. A string, wrapped around a peg along the axis of the top, is pulled in such a manner as to maintain a constant tension of 5.19 N. If the string does not slip while it is...
A rotating wheel requires 2.98 s to rotate through 37.0 revolutions. Its angular speed at the end of the 2.98 s interval is 98.8 rad/s. What is the constant angular acceleration of the wheel?
First I tried acceleration = (98.8rad/s - 0 rad/s) / 2.98 s - 0s = 33.15, which was incorrect...
A railroad car of mass 2.49 104 kg, is moving with a speed of 3.89 m/s. It collides and couples with three other coupled railroad cars, each of the same mass as the single car and moving in the same direction with an initial speed of 1.95 m/s.
(a) What is the speed of the four cars after the...