F18-8. The 50-kg reel has a radius of gyration about its center o of ko = 300 mm. If it is released from rest, determine its angular velocity when its center O has traveled 6 m down the smooth inclined plane. 0.4 m 0.2 m 30

playground merry-go-round of radius R=2.00m has a moment of inertia? = 250??. ?2 and is rotating at 10.0 ???/??? about a frictionless vertical axle. Facing the axle, a 25.0-kg child hops onto the merry-go-round from the ground and manages to sit down on its edge. What is the new angular speed of the merry-go-round?

A clock hangs on a wall. a) What is the direction of the average angular velocity of the seconds hand? b) What is the magnitude of the average angular velocity of the seconds hand?

A 1.10-kg particle moves in the xy plane with a velocity of Need Help? Read It = (3.70 1-3.70 ĵ) m/s. Determine the angular momentum of the particle about the origin when its position vector is = (1.50 î+ 2.20 ĵ) m. k) kg - m²/s Watch It

In orbit mechanics, the angular momentum is also an important quantity governing the satellite's motion. Assume planar motion, a satellite is orbiting around Earth center within a fixed plane. Thus it's motion is completely described by the distance r and the angle (relative to some reference direction). êo 0 (center of Earth) êr PO.. P (satellite) satellite's trajectory Obtain the satellite's angular momentum with respect to Earth center. For spacecrafts, the angular momentum (h) is h = Fx, it is independent of mass. What is the magnitude of h?

A solid metal disk with moment of inertia I, radius R, and mass m1 can rotate freely about a frictionless axis passing through its center. A light string is wrapped around the disk and connects to a hanging mass m2. The hanging mass is released from rest at a distance d above the ground and accelerates downward with acceleration awhile the disk rotates through an angle q. a) Find an expression for the angular accelerationaof the diskin terms of m2, I, R, and any necessary constants. b) Find an expression for the time it takes for the hanging mass to reach the ground. Write your answer in terms of q, a, and any necessary constants. c) Find an expression for the angular velocity of the disk just before the hanging mass hits the ground. Write your answer in terms of q, a, and any necessary constants.

given:wheel, radius 6.6 cm, m = 4.2 kgaccelerates from rest with angular acceleration 2.6 rad/s2.After 27 s, what is the angular velocity?

LAA-2 A solid disk of radius 15.0cm starts at rest and reaches a final angular speed of 1,200rev/min clockwise after turning thru a total of 80.0 revolutions. rotation a) Find the (constant) angular acceleration of the disk in units of radians and seconds. b) Find the final linear speed in m/s of point P on the rim of the disk. c) Find the magnitude of the tangential acceleration of point P on the rim of the disk. point P R=15.0cm d) Find the magnitude of the radial acceleration of point P on the rim of the disk. e) Sketch on your paper a figure like the one to the right and show arrows that represents atan and arad at point P. 9:47 PM 梦 0 arch 66°F Mostly cloudy 9/23/2021 Gup ISTRUCTION

A skater spins about a fixed point on the ice. She begins with her arms extended and an initial angular velocity wo. She then pulls her arms in to her body. After her arms are pulled to her body, she spins with an angular velocity final ,wf . Throughout the time she is spinning, no external forces are acting in the horizontal plane. How do the magnitudes of the initial and final angular velocities compare? OA. Wo > Wf OB. WO = wf w0 < wf OE. ооо оо

In the figure, the disk is at rest, homogeneous, and weighs 50 lb. If a horizontal force P is applied to its center of mass at G, and it experiences friction as shown, determine the angular acceleration of the disk and the acceleration of point G.