The mass of the disk is 0.35 kg with a radius of 0.18 m and is initially spinning at 5 revolutions per second. It is spinning horizontally and on a very low friction axle.
Then a uniform thin rod of length 0.40m and mass of 0.085 kg is suspended just above the spinning disk and dropped, without any rotational motion, onto the spinning disk exactly across its diameter.
After the rod is dropped, the rod and disk are moving with the same rotational speed.
a) What is the rotational speed? Show all work and explain.
b) What is the total kinetic energy of the system before and after the rod is dropped? Show all work and explain.
A solid disk of mass m = 9.2 kg and radius R = 0.2 m is rotating with a constant angular velocity of w = 38 rad/s. A thin rectangular rod with mass m2 = 3.7 kg and length L = 2R = 0.4 m begins at rest above the disk and is dropped on the disk where it begins to spin with the disk. 1) What is the initial angular momentum of the rod and disk system? kg-m2/s Submit...
A disk with radius 0.6 meters and mass 31 kg is spinning about its own center with an angular velocity of 88ed A solid sphere (/ mR2) with a radius of 0.18 meters which is spinning with an angular velocity of -18 ed (the negative sign indicates the opposite 6. rad sec direction), is gently lowered onto the disk a sticks to the disk. The two rotate together (about their mutual center of mass) at an angular velocity of 33...
A merry-go-round modeled as a disk of mass 100 kg and radius 2.0 m is rotating around a frictionless vertical axle. After a person of mass 60 kg jumps onto the merry-go-round, the system’s angular speed decreases to 2.0 rad/s. If the person walks slowly from the edge toward the center, find the change in the system’s rotational kinetic energy caused by her movement to 0.5 m from the center.
A playground ride consists of a disk of mass M =40 kg and radius R=1.6 m mounted on a low-friction axle (see figure below). A child of mass m=22 kg runs at speed v =2.6 m/s on a line tangential to the disk and jumps onto the outer edge of the disk. R We were unable to transcribe this image
152 Rotational collision A O.400 kg A 0.150 kg solid disk with radius 0.050 m rotates at 180 revolutions per minute. ring with radius 0.030m is held at rest and then gently dropped onto the disk so that its center coincides with the center of the disk. It sticks. Determine the angular velocity of the combination after the ring sticks to the disk
A playground ride consists of a disk of mass M =40 kg and radius R=1.6 m mounted on a low-friction axle (see figure below). A child of mass m=22 kg runs at speed v =2.6 m/s on a line tangential to the disk and jumps onto the outer edge of the disk. R x Your answer is incorrect. Try again. (e) The child on the disk walks inward on the disk and ends up standing at a new location a...
A disk of mass M and radius R is rotating with an angular velocity ω. A rod also of mass M but length 2R is initially not rotating. It is dropped vertically onto the rotating disk. After the collision, the disk and rod rotate together with an angular velocity of? What fraction of the initial kinetic energy was lost in the collision?
A disk with mass m = 8.6 kg and radius R = 0.35 m begins at rest and accelerates uniformly for t = 18.9 s, to a final angular speed of ω = 29 rad/s. (answer all parts of this question please, thank you so so much) 1) What is the angular acceleration of the disk? 2) What is the angular displacement over the 18.9 s? 3) What is the moment of inertia of the disk? 4) What is the...
The lower disk in the figure has a mass of 440 ? and a radius of 3.5 ?? and is rotating at 180 ??? on a frictionless shaft of negligible radius. The upper disk, which is initially not rotating, has a mass of 270 ? abd a radius of 2.3 ??, and is dropped onto the lower disk. Assume no friction between the shaft and the disks. a. Determine their common rotation speed after the drop (in ???). b. The...
(4) A playground ride, known as merry-go-round, consists of a disk with a mass of 40.0 kg and a radius of 1.80 m mounted on a frictionless axle. The frictionless axle is a vertical cylinder of radius kg, and has the same rotational axis as the disk. A child with a mass of 3.50 m/s on a line tangential to the outer rim of the disk and jumps onto the outer edge of the ride while it is at rest...