A uniform disk of mass 10 m and radius 3.0 r can rotate freely about its fixed center like a merry-go-round. A smaller uniform disk of mass m and radius r lies on top of the larger disk, concentric with it. Initially the two disks rotate together with an angular velocity of 20 rad/s. Then a slight disturbance causes the smaller disk to slide outward across the larger disk, until the outer edge of the smaller disk catches on the outer edge of the larger disk. Afterward, the two disks again rotate together (without further sliding). (a) What then is their angular velocity about the center of the larger disk? (b) What is the ratio K / K 0 of the new kinetic energy of the two-disk system to the system's initial kinetic energy?
A uniform disk of mass 10 m and radius 3.0 r can rotate freely about its fixed center like a merry-go-round. A smaller uniform disk of mass m and radius r lies on top of the larger disk, concentric with it. Initially the two disks rotate together with an angular velocity of 20 rad/s. Then a slight disturbance causes the smaller disk to slide outward across the larger disk, until the outer edge of the smaller disk catches on the outer edge of the larger disk. Afterward, the two disks again rotate together (without further sliding). (a) What then is their angular velocity about the center of the larger disk? (b) What is the ratio K / K 0 of the new kinetic energy of the two-disk system to the system's initial kinetic energy?
Solution Summary: The author explains how to calculate the initial and final moment of inertia and the ratio of final to initial kinetic energies.
A uniform disk of mass 10m and radius 3.0r can rotate freely about its fixed center like a merry-go-round. A smaller uniform disk of mass m and radius r lies on top of the larger disk, concentric with it. Initially the two disks rotate together with an angular velocity of 20 rad/s. Then a slight disturbance causes the smaller disk to slide outward across the larger disk, until the outer edge of the smaller disk catches on the outer edge of the larger disk. Afterward, the two disks again rotate together (without further sliding). (a) What then is their angular velocity about the center of the larger disk? (b) What is the ratio K/K0 of the new kinetic energy of the two-disk system to the system's initial kinetic energy?
Definition Definition Product of the moment of inertia and angular velocity of the rotating body: (L) = Iω Angular momentum is a vector quantity, and it has both magnitude and direction. The magnitude of angular momentum is represented by the length of the vector, and the direction is the same as the direction of angular velocity.
as a hiker in glacier national park, you need to keep the bears from getting at your food supply. You find a campground that is near an outcropping of ice. Part of the outcropping forms a feta=51.5* slopeup that leads to a verticle cliff. You decide that this is an idea place to hang your food supply out of bear reach. You put all of your food into a burlap sack, tie a rope to the sack, and then tie a bag full of rocks to the other end of the rope to act as an anchor. You currently have 18.5 kg of food left for the rest of your trip, so you put 18.5 kg of rocks in the anchor bag to balance it out. what happens when you lower the food bag over the edge and let go of the anchor bag? Determine the acceleration magnitude a of the two-bag system when you let go of the anchor bag?
2. A thin Nichrome wire is used in an experiment to test Ohm's
law using a power supply ranging from 0 to 12 V in steps of 2 V.
Why isn't the graph of I vs V linear?
1.
Nichrome wire does obey Ohm's law. Explain how that can that be true given the
results above
1. The average KE and temperature in Kelvin of the molecules of a gas are related by the
equation KE = 3/2 KT where k is the Boltzmann constant 1.38 x 10 m² kg s².
The diagram shows the energy levels for a Hydrogen atom.
Energy/eV
0.00
-1.51
3.39
13.58
Use this information to show that Hydrogen at room temperature will not emit light.
2. When hydrogen burns in oxygen 241.8 kJ of energy are released per mole. Show that this
reaction can produce light.
Chapter 11 Solutions
Fundamentals Of Physics 11th Edition Loose-leaf Print Companion Volume 2 With Wileyplus Card Set
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.