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A moon of mass m orbits around a non-rotating planet of mass M with orbital angular velocity . The moon also rotates about its own axis with angular velocity .
1. A moon of mass \(m\) orbits around a non-rotating planet of mass \(M\) with orbital angular velocity \(\Omega\). The moon also rotates about its own axis with angular velocity \(\omega\). The axis of rotation of the moon is perpendicular to the plane of the orbit. Let \(I\) be the moment of inertia of the moon about its own axis. You can assume \(m<<M\)so that the center ofmass of the system is at the center of the planet.(a) What is...
4. The planet Earth orbits around the Sun and also spins around its own axis. (a) Calculate the angular momentum of Earth in its orbit around the sun. (b) Calculate the angular momentum of Earth spinning on its axis. (c) What is the ratio of the angular momentum of Earth in its orbit to the angular momentum of Earth about its axis?
(17%) Problem 5: The Moon orbits around the Earth and also spins on its axis. 33% Part (a) What is the angular momentum of the Moon in its orbit around Earth? 33% Part (b) What is the angular momentum of the Moon in its rotation around its axis? A 33% Part (c) How many times larger is the orbital angular momentum than the rotational angular momentum for the Moon?
Pg4 10. A solid disk is rotating around its central axis at an angular velocity of 10.6 rad/s. If the disk speeds up to a rate to 18.2 rad/s in 2 seconds a) What is the angular acceleration? b) Through what angle did it rotate? [2 points] Tla). Calculate the absolute pressure at an ocean depth of 1.050m. Assume the density of seawater is 1,024 kg/m^3 and the air above exerts a pressure of 101.3 kPa. [1 point 11b). A...
Question 2 A drum rotates around its central axis at an angular velocity of 19.5 rad/s. If the drum then slows at a constant rate of 4.93 rad/s2, (a) how much time does it take and (b) through what angle does it rotate in coming to rest? (a) Number Units (b) Number Units
A wheel is rotating about an axis that is in the z -direction. The angular velocity ω z is -6.00 rad/s at t = 0, increases linearly with time, and is +4.00 rad/s at t = 19.0 s . We have taken counterclockwise rotation to be positive. Part B During what time interval is the speed of the wheel increasing? Express your answer with the appropriate units. Part C During what time interval is the speed of the wheel decreasing?...
4) A rigid body rotates with constant angular velocity about a fixed axis. Show that its kinetic energy K and angular momentum L are related according to K = 5, where I is the rotational inertia.
A rectangular loop rotates with a constant angular velocity about an axis as shown. It makes one complete rotation in 0.03 s. The magnetic field lines are straight and parallel as shown. They are perpendicular to the axis of rotation. The lengths are c= 0.5 m and d= 3.5 m, the strength of the magnetic field is 0.08 T. The total resistance of the loop is 174 ?. 1. What is the magnetic flux through the loop at the instant...
9. A disc is rotating about a axis through the center at a constant angular velocity oo. Two ants of equal mass suddenly drop onto the edge the disc and gets stuck to the rotating disc. Does the Moment of Inertia of the system increase or decrease? Explain a. b. Does the angular velocity increase or decrease? Explain 01 c. Now suppose the two ants start moving toward the center at a constant speed. i.Does the moment of inertia increase...
a hoop rotates about an axis through the center with an angular velocity of 70 rad/s . if the rotational kinetic energy of the hoop is 500 j what is the angular momentum in si units