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A thin disk of mass m = 4 kg rotates with an angular velocity W2 with respect to arm ABC, which itself rotates with an angular velocity w1 about the y axis. Assume that ABC has a negligible mass. -450 mm 150 mm 225 mm Determine the couple Mij that should be applied to arm ABC to give it an angular acceleration (1= -(8.1 rad/s2); when w1 = 5.6 rad/s, knowing that the disk rotates at the constant rate w2...
As shown in Fig. 3, a homogenous disk of mass m = 3.5 kg rotates
at the constant rate ?1 = 15 rad/s with respect to arm ABC, which
is welded to a shaft DCE rotating at the constant rate ?2 = 8.5
rad/s. Determine (a) the angular momentum of the disc about point C
(b) the couple of body representing the dynamic reactions at
supports D and E and (c) the kinetic energy of the system. Both
angular momentum...
24 4 points Conservation of angular momentum: A disk with moment of inertia I1 = 3kgm rotates about a frictionless, vertical axle with angular speed wi = 8Rad/s. A second disk, this one having moment of inertia 12 = 1kgm and initially not rotating, drops onto the first disk. Because of friction between the surfaces, the two eventually reach the same angular speed W2 . What is w2? 13 Before After 24 Rad/s 12 Rad/s 6 Rad/s 16 Rad/s 4...
1a. A cockroach of mass m lies on the rim of a uniform
disk of mass 9.00 m that can rotate freely about its
center like a merry-go-round. Initially the cockroach and disk
rotate together with an angular velocity of 0.456 rad/s. Then the
cockroach walks halfway to the center of the disk.
(a) What then is the angular velocity of the
cockroach-disk system?
(b) What is the ratio
K/K0 of the new kinetic energy of the
system to its...
A uniform solid disk of mass m = 3.06 kg and radius r = 0.200 m rotates about a fixed axis perpendicular to its face with angular frequency 6.09 rad/s. (a) Calculate the magnitude of the angular momentum of the disk when the axis of rotation passes through its center of mass. kg · m2/s (b) What is the magnitude of the angular momentum when the axis of rotation passes through a point midway between the center and the rim?...
A uniform solid disk of mass m = 3.08 kg and radius r = 0.200 m rotates about a fixed axis perpendicular to its face with angular frequency 6.09 rad/s. (a) Calculate the magnitude of the angular momentum of the disk when the axis of rotation passes through its center of mass. kg · m2/s (b) What is the magnitude of the angular momentum when the axis of rotation passes through a point midway between the center and the rim?...
A uniform solid disk of mass m = 2.99 kg and radius r = 0.200 m rotates about a fixed axis perpendicular to its face with angular frequency 5.96 rad/s. (a) Calculate the magnitude of the angular momentum of the disk when the axis of rotation passes through its center of mass. kg · m2/s (b) What is the magnitude of the angular momentum when the axis of rotation passes through a point midway between the center and the rim?...
The answers are wrong
A disk of 0.15-m radius rotates at the constant rate ?2 with respect to plate BC, which itself rotates at the constant rate Wjabout the y axis. Know that w w2 4.2 rad/s 0.15 m 0.15 m References eBook &Resources Section Break Difficulty: Hard value: Required information 0.50 points Determine, for the position shown, the velocity and acceleration of Point D. (Round the final answer to two decimal places.) The velocty is The acceleration is 1.89...
1. (4 points) Four forces are acting on a disk as shown in the Figure 1. The radius and the mass of the disk are 10 cm and 2 kg, respectively. The disk is free to rotate about a frictionless axle going through its center. (laisk = {MR2) y (a) Find the torque produced by each force. Make 10 N V2N sure to specify the directions. 15 N (b) Find the angular acceleration of the disk. (c) How many turns...
A system of two bodies consisting of a rod of mass m and length L, and a disk of mass M and radius R, moves in the x-y plane. The disk rotates about the axis attached to the rod at a distance b from its axis of rotation. The absolute angular velocity of the rod is 2, and the angular velocity of the disk relative to the rod is @. Determine the ratio E/Ho of the kinetic energy E of...