Recent content by toastie

Homework Statement y"+y=sinx initial conditions: y(90 deg) = 3, y(45 deg) = 2 Calculate y at x = -1 Homework Equations y=u+v The Attempt at a Solution I have gotten the following: r^2 + 1 = 0 Therefore, r1=i and r2 = -i u=(c1)cosx + (c2)sinx v=Asinx + Bcosx...

okay nevermind I was forgetting to convert theta to radians.

Homework Statement Find x coordinant of the the center of mass point of a uniform wire that subtends an arc of 22 degrees if the radius of the circular arc is 1m. Homework Equations I begin with: length = r*theta Therefore M = density*r*theta dm = density*ds = denisty*r8*d(alpha)...

you have the angular velocity and you need to find the velocity. So if w=10.78 then f=?

you have the correct equation but don't forget the w=2*pi*f

Homework Statement A small block (mass m) slides down a circular path (radius R) which is cut into a large block (mass M), as shown. M rests on a table and both blocks slide without friction. The blocks are initially at rest, and m starts at the top of the path. Determine the velocity of m...

if the velocity = 0 then I am left solving x(t) = Ae^(-(beta)*t) However, I do not know what beta is. Should beta be the spring constant?

okay i realize what ode stands for. I have tried that and I get x(t) = A*cos(angular velocity*t)*e^(-(beta)t). From here we are not really sure where to go. We know that we need to find the number of cycles but beyond that we are confused.

What is ODE an abreviation for?

I don't know how to solve this problem without the mass.

I mistyped the equation. Sorry for the confusion about equation! The equation I just typed is the one that I keep getting.

I have done an energy and force anaylsis. They both give the following equation: mx" - kx - constant magnitude = 0

Homework Statement The block oscillates about equilibrium for the spring. A weak frictional force of constant magnitude 2.7 N causes the oscillations to diminish slowly. The block oscillates many times and eventually comes to rest. First, show that the decrease in amplitude is the same for...

The track goes down and then stops at B.

Okay os using the corrections you gave me, I get that x2 = .2(a1)(t1^2)+(v1)(t2)+.5(a2)(t2^2). Using that I get x(t)=a1*(t1^2)+v1*t2+.5(a2)(t2^2). how do you get down to finding out a1 or a2 without the other unknown in the same equation?