A sphere with radius 0.245m has density ϝ that decreases with distance r from the center of the sphere according to =3.25x103kg/m^3-(9.50x103kg/m^4)r .   Part A   Calculate the total mass of the sphere.   Part B   Calculate the moment of inertia of the sphere for an axis along a diameter.

A uniform disk of mass 7 kg and radius 0.2 m is free to rotated about an axis perpendicular to its center.  A constant force of size 146 N acts at the edge of the disk, in a direction tangent to that edge.  The force acts until the disk has completed 169 full rotations.  What is the angular momentum of the disk after those rotations are complete, in kg m2/s?  It could be useful to you to know that the rotational inertia of a uniform disk is 1/2 M R2. (Please answer to the fourth decimal place - i.e 14.3225)

A carousel has a radius of 1.65 m and a moment of inertia of 118 kg· m2. A girl of mass 49.0 kg is standing at the edge of the carousel, which is rotating with an angular speed of 3.40 rad/s. Now the girl walks toward the center of the carousel and stops at a certain distance from the center d. The angular speed of the carousel is now 5.4 rad/s. How far from the center, in meters, did the girl stop?

A potter's disk spins from rest up to 3.8 rev/s in 15 s. The disk has a mass 3.5 kg and radius 24.0 cm. What is the angular momentum (in kg · m2/s) of the disk at t = 5 s? (Enter the magnitude.) What is the angular momentum (in kg · m2/s) of the disk at  t = 10 s?(Enter the magnitude.)

A cylinder 37.0 cm in diameter is at rest initially. It is then given an angular acceleration of 0.068 rad/s^2. Find the angular velocity at 5.26 s. Give your answer in rad.

Determine the angular momentum of a 78-g particle about the origin of coordinates when the particle is at x = 4.9 m, y = -6.3 m, and it has velocity v = (3.51-80k) m/s. Find the x-component. Express your answer using two significant figures. Lx = ΜΕ ΑΣΦ Submit Request Answer ▼ Part B Find the y-component. Express your answer using two significant figures. Ly= ΜΕ ΑΣΦ Submit Request Answer Part C Find the z-component. Express your answer using two significant figures. ? kg-m²/s ? kg-m²/s

z [meters] mc 6 kg MB 11 kg -5 10 x [meters] 100 kg MA -5- Calculate the moment of inertia about the z-axis for a group of point masses (see Figure). Mass A = 100 kg, mass B = 11 kg, massC = 6 kg and mass D = 8.8 kg. (PUHQ0239) %3D %3D a) 03.88 x 10 kg m2 3 b) O-9.18 x 10 2 kg m2 c) 04.08 x 10 kg m² 3 2 d) 03.65 x 10 3 kg m?

A sanding disk with rotational inertia 3.9 x 10-3 kg·m2 is attached to an electric drill whose motor delivers a torque of magnitude 37 N·m about the central axis of the disk. About that axis and with torque applied for 17 ms, what is the magnitude of the (a) angular momentum and (b) angular velocity of the disk?

Joe's shoulder is labeled S and two points on the cable are labeled P and B. The coordinates of the three points are given below and the tension in the cable is 200 N. Find the moment about Joe's shoulder. Point S P B X (m) 0.68 0 1.9 Y (m) 0.9 3.2 1.1 z (m) 1.4 0 1.4

A star originates as a large body of slowly rotating gas.Because of gravitational attraction, this large body of gas slowly decreases in size.You can assume that no external forces are acting.Which one of the following statements correctly describes what happens as the radius of the body of gas decreases? Both the moment of inertia and the angular velocity increase. Both the angular momentum and the angular velocity increase.     The angular momentum increases and the angular velocity decreases. Both the angular momentum and the angular velocity decrease. The angular momentum remains constant and the angular velocity increases.