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The following physics responses are provided by a student and, as such, should be considered in that context. While every effort is made for accuracy, absolute correctness cannot be fully guaranteed.
| C | I | Question | Answer |
|---|---|---|---|
| 8 | A majorette takes two batons and fastens them together in the middle at right angles to make an "x" shape. Each baton was 0.80 m long and each ball on the end is 0.20 kg. (Ignore the mass of the rods.) What is the moment of inertia if the arrangement is spun around an axis through the center perpendicular to both rods? | 0.13 kg*m^2 | |
| 8 | A meter stick is hinged at its lower end and allowed to fall from a vertical position. If its moment of inertia is ML^2/3, with what angular speed does it hit the table? | 5.42 rad/s | |
| 8 | A meter stick is supported by a knife-edge at the 50-cm mark. Doug hangs masses of 0.40 and 0.60 kg from the 20-cm and 80-cm marks, respectively. Where should Doug hang a third mass of 0.30 kg to keep the stick balanced? | 30 cm | |
| 8 | A rod of length L is hinged at one end. The moment of inertia as the rod rotates around that hinge is ML^2/3. Suppose a 2.00-m rod with a mass of 3.00 kg is hinged at one end and is held in a horizontal position. The rod is released as the free end is allowed to fall. What is the angular acceleration as it is released? | 7.35 rad/s^2 | |
| 8 | A rod of length L is pivoted about its left end and has a force F applied perpendicular to the other end. The force F is now removed and another force F' is applied at the midpoint of the rod. If F' is at an angle of 30° with respect to the rod, what is its magnitude if the resulting torque is the same as when F was applied? | 4F | |
| 8 | A rotating flywheel can be used as a method to store energy. If it has 1.0*106 J of kinetic energy when rotating at 400 rad/s, and if a frictional torque of 4.0 Nm acts on the system, in what interval of time would the flywheel come to rest? | 21 min | |
| 8 | A rotating flywheel can be used as a method to store energy. If it is required that such a device be able to store up to a maximum of 1.00*10^6 J when rotating at 400 rad/s, what moment of inertia is required? | 12.5 kg*m^2 | |
| 8 | A solid cylinder (I = MR^2/2) has a string wrapped around it many times. When I release the cylinder, holding on to the string, the cylinder falls and spins as the string unwinds. What is the downward acceleration of the cylinder as it falls? | 6.5 m/s^2 | |
| 8 | A solid cylinder of mass 3.0 kg and radius 0.2 m starts from rest at the top of a ramp, inclined 15°, and rolls to the bottom without slipping. (For a cylinder I = 0.5MR^2) The upper end of the ramp is 1.2 m higher than the lower end. Find the linear speed of the cylinder when it reaches the bottom of the ramp. (g = 9.8 m/s^2) | 4.0 m/s | |
| 8 | A solid disk of radius R rolls down an incline in time T. The center of the disk is removed up to a radius of R/2. The remaining portion of the disk with its center gone is again rolled down the same incline. The time it takes is: | more than T. | |
| 8 | A solid sphere of mass 4.0 kg and radius 0.12 m is at rest at the top of a ramp inclined 15°. It rolls to the bottom without slipping. The upper end of the ramp is 1.2 m higher than the lower end. Find the sphere's total kinetic energy when it reaches the bottom. | 47 J | |
| 8 | A solid sphere of mass 4.0 kg and radius 0.12 m starts from rest at the top of a ramp inclined 15°, and rolls to the bottom. The upper end of the ramp is 1.2 m higher than the lower end. What is the linear speed of the sphere when it reaches the bottom of the ramp? (Note: I = 0.4MR2 for a solid sphere and g = 9.8 m/s2) | 4.1 m/s | |
| 8 | A solid sphere with mass, M, and radius, R, rolls along a level surface without slipping with a linear speed, v. What is the ratio of rotational to linear kinetic energy? (For a solid sphere, I = 0.4 MR2). | 2/5 | |
| 8 | A tetherball is attached to a pole with a 2.0-m rope. It is circling at 0.20 rev/s. As the rope wraps around the pole it shortens. How long is the rope when the ball is moving at 5.0 m/s? | 1.0 m | |
| 8 | A turntable has a moment of inertia of 3.0*10^-2 kg*m^2 and spins freely on a frictionless bearing at 25 rev/min. A 0.30-kg ball of putty is dropped vertically on the turntable and sticks at a point 0.10 m from the center. By what factor does the kinetic energy of the system change after the putty is dropped onto the turntable? | 0.91 |
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