Test 1

  1. An object rotating in place has its angular velocity increased uniformly. Which of the following would represent radial and tangential acceleration?
  1. The spool has inertia I. What is the value of the unknown mass required to keep the system from rotating? There is no frictional torque in the system.
  2. .25M
  3. .5M
  4. 2M
  5. 4M
  6. 16M
  1. A satellite moving in an elliptical orbit around a planet has a speed V when at the furthest location, a distance 2D. What is the speed of the satellite at point a, a distance D? The mass of the satellite is negligible when compared to the mass of the planet.
  2. .25V
  3. .5V
  4. 2V
  5. 4V
  6. 16V
  1. A mass M is hung about the end of a rod of negligible mass. What tension would be required to prevent the mass from rotating? The line is at a 30 degree angle from the horizontal and is connected at the center of the rod. The rod is free to rotate about the left side and has no frictional torque.
  2. .25mg
  3. .5mg
  4. Mg
  5. 2mg
  6. 4mg
  7. An object of mass 2M collides inelastically with a very light rod free to rotate around the top point without frictional torque. What will be the angular velocity immediately after impact?
  8. (1/3)(V/L)
  9. (1/2)(V/L)
  10. (2/3)(V/L)
  11. (3/2)(V/L)
  12. 2V/L
  1. For the system shown, the system is free to rotate about the center of the spool with no frictional torque. The tension on the left side is labeled TM and the tension on the right T2M. The system is released from rest. At this moment, which force statements will be true.
  2. 2*T(M)<2Mg<T(2M)
  3. 2*T(M)<2Mg=T(2M)
  4. 2*T(M) =2Mg =T(2M)
  5. 2*T(M) =2Mg>T(2M)
  6. 2*T(M)>2Mg>T(2M)
  1. An object has an acceleration of 4π rad/s2. Starting from rest what is the approximate revolutions covered in 2 seconds?
  2. 1
  3. 2
  4. 3
  5. 4
  6. 5
  1. Two heavy masses, each a distance R from center, are mounted on a light rod that can be rotated by a string wrapped around a central cylinder of negligible mass. A force F is applied to the string (perpendicular to the radius) to turn the system. With respect to the variables given in the figure, the equation for the angular acceleration α is______. Assume zero frictional torque

A solid cylinder of mass M and Radius R is supported on a plane, as shown, where friction exists. The cylinder is also supported by a light string is currently held in place. The inertia of a cylinder when rotated about the center of mass is I=.5MR2.

  1. Draw a free body diagram labeling all forces acting on the cylinder
  1. The magnitude of tension is______(circle the correct answer)

(Less than, Equal to, Greater than) friction

Justify your answer

Once the line is cut, (ignore the tiny mass of the string and any effect it may have)

  1. Determine the magnitude of the acceleration down the plane

For the following, circle the correct answer

  1. A solid sphere would have an acceleration that is (Less than, Equal to, Greater than) the acceleration of the cylinder.

Justify your answer

  1. A mass is connected to a spool and released. The spool is held in place by the platform above but is free to rotate about its center. The distance the mass falls is plotted as a function of time and then graphed, as shown. The mass, m=.5Kg and r=.25m.
  2. On the spool(left) draw and identify all of the forces acting on the spool of appropriate magnitude and direction (after mass m is released).
  3. Manipulating the raw data, create a linear plot. Place the variables you intend to plot in the box provided and create the plot on the graph provided. Include appropriate quantities with their units on your graph.
  4. Determine the acceleration of the system from the plot you have created.
  5. Determine the tension on the line.
  6. Determine the inertia of the spool.
  7. Determine the force that the support system must exert upward on the spool as the mass falls. Assume the spool has a mass of 1.0Kg.