Recent content by jj2443

  1. J

    Moment of Inertia using Triple Integral

    Oh, that's much easier than I was trying to make it. Thank you!
  2. J

    Centroid of a 3D Region using Triple Integral

    Homework Statement Compute the centroid of the region defined by x^{2} + y^{2} + z^{2} \leq k^{2} and x \geq 0 with \delta(x,y,z) = 1. Homework Equations \overline{x}=\frac{1}{m}\int\int\int x \delta(x,y,z) dV \overline{y}=\frac{1}{m}\int\int\int y \delta(x,y,z) dV...
  3. J

    Moment of Inertia using Triple Integral

    Homework Statement Compute the moment of inertia around the z-axis of the solid unit box [0,1]x[0,1]x[0,1] with density given by \delta=x^{2}+y^{2}+z^{2}. Homework Equations I=\int\int\intr^{2} \delta dV The Attempt at a Solution I know that the distance r^{2} from the z-axis would...
  4. J

    Solve Tricky Integration: Compute Value of 1∫g(ln(t))/t dt

    Homework Statement Suppose that the 0\int1 g(t)dt=5. Compute the value of 1\inte g(ln(t))/t dt Homework Equations The Attempt at a Solution I think that u substitution is the best way to solve. If you set u=ln(t), then du=1/t dt which is in your integration. I do not know how to incorporate...
  5. J

    Tricky Collision Problem: Solving for Block Masses and Heights

    So far I've come up with: GPE=KE m(10)y = (1/2)mv^2 v= sqrt(20y) p1=m*sqrt(20y) p2= 3mv+mv2 ehh something can't be right, anyone want to help me with the algebra? thanks a lot!
  6. J

    What is the solution to the Tricky Collision Problem?

    I've done a picture, and have a basic understanding that I should use conservation of energy to find velocity of the block at bottom of incline. Then I need conservation of momentum in an elastic collision to find velocity of ball on string...(?) How does this help me find the new h and the L?
  7. J

    Tricky Collision Problem: Solving for Block Masses and Heights

    1. Homework Statement A small hard block of mass 3m is suspended from a thread of length L. A second block of mass m is located on an incline, originally at rest, a height y above the level of the large mass. When the smaller block is released it slides, without friction, down the ramp, and...
  8. J

    What is the solution to the Tricky Collision Problem?

    Homework Statement A small hard block of mass 3m is suspended from a thread of length L. A second block of mass m is located on an incline, originally at rest, a height y above the level of the large mass. When the smaller block is released it slides, without friction, down the ramp, and then...
  9. J

    Simple Force Problem (with acceleration and friction)

    Homework Statement A 300 kg box rests on a platform attached to a forklift. Starting from rest at time t=0, the box is lowered with a downward acceleration of 1.5 m/s^2. 1)Determine the upward force exerted by the horizontal platform on the box as it is lowered. At time t=0 the forklift...
  10. J

    Forces Problem involving acceleration and friction

    A 300 kg box rests on a platform attached to a forklift. Starting from rest at time t=0, the box is lowered with a downward acceleration of 1.5 m/s^2. 1)Determine the upward force exerted by the horizontal platform on the box as it is lowered. At time t=0 the forklift also begins to move...
Back
Top