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Old Dec 17th 2008, 03:31 PM   #1
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Join Date: Nov 2008
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Problems..

ok i am completely lost here....

I need these problems done tomorrow morning if there is anyone that can help or send me somewhere or to someone that could possibly help me thank you.

  1. Sir Lancelot rides out of the castle at Camelot and onto the 12.0 m long drawbridge that passes over the moat. Unbeknownst to him, his enemies have partially severed the cable (60° angle with the horizontal) holding up the front end of the bridge so that it will break under a tension of . The bridge weighs 1900 N and it is uniform. Lancelot, his lance and armor and his horse have a combined weight of 5800 N. Will the cable break before Lancelot reaches the end of the drawbridge? If so, how far from the castle will he be when the cable breaks? (measure from the castle to the center of mass)
  2. A uniform beam 4.0 m long and weighing 2500 N carries a 3500 N weight 1.50 m from the far end, as shown in the figure. It is supported horizontally by a hinge at the wall and a metal wire at the far end. Find the vertical and horizontal normal forces on the base of the beam and the tension in the wire.
  3. A bucket of mass m is connected by a rope to a frictionless pulley of mass M. Use Newton’s 2nd law for torques and Newton’s 2nd law to find an equation for the acceleration of the bucket if it is released from rest and allowed to fall.
  4. Use conservation of energy to find an equation for the linear velocity of the bucket for the set up in problem number 2 (bucket of mass m released from rest unwinding a frictionless pulley of mass M). Call the height the bucket drops through, h.
  5. A solid sphere and a hollow sphere of equal mass and radii are released from rest at a height h and allowed to roll down an inclined plane. If they both roll without slipping calculate the velocities of each at the bottom of the plane as a function of h. Which one will go faster?
  6. A solid, vertical cylinder of mass 10.0 kg and radius 1.00 m rotates with an angular speed of 7.00 rad/s about a fixed vertical axis through its center. A .250 kg piece of putty is dropped vertically onto the cylinder at a point 0.900 m from the center of ration and sticks to the cylinder. Determine the final angular speed of the system.
  7. A disk with moment of inertia, I is spinning about its center with an angular velocity, . Another disk of moment of inertia, I, with no angular velocity is dropped directly over and onto the first spinning disk. After a moment the two disks are both spinning with the same new angular velocity, . How is the new angular velocity related to the initial angular velocity of the first disk? Prove it.
  8. A spinning cylindrical satellite of mass 140 kg has a radius of 0.700 m. Attached to the edge is small weight which has a mass of 15.0 kg. To slow the satellite down the small weight is extended via a light wire out to a radius of 4.00 m. If the satellite and weight were initially spinning at 6.6 rad/s, what is the angular velocity after the weight is extended?
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