A playground ride consists of a disk of mass M = 59 kg and radius R = 2.2 m mounted on a low-friction axle. A child of mass m =18 kg runs at speed v = 2.2 m/s on a line tangential to the disk and jumps onto the outer edge of the disk.Rm(d) If the disk was initially at rest, now how fast is it rotating? That is, what is its angular speed? (The moment ofinertia of a uniform disk is Â½MR².)W =radians/s(e) How long does it take for the disk to go around once?Time to go around once =MOMENTUM(g) What was the speed of the child just after the collision?V =m/s(j) Calculate the change in linear momentum of the system consisting of the child plus the disk (but not including theaxle), from just before to just after impact, due to the impulse applied by the axle. Take the x axis to be in thedirection of the initial velocity of the child.Apx = Px,f - Px,i =kgÂ-m/sANGULAR MOMENTUM(k) The child on the disk walks inward on the disk and ends up standing at a new location a distance R/2 = 1.1 mfrom the axle. Now what is the angular speed? (It helps to do this analysis algebraically and plug in numbers at theend.)W =radians/s

SOlution: I will solve the first 3 parts of teh question as per the Bartleby guidelines:

A playground ride consists of a disk of mass M = 59 kg and radius R = 2.2 m mounted on a low-friction axle. A child of mass m = 18 kg runs at speed v = 2.2 m/s on a line tangential to the disk and jumps onto the outer edge of the disk. m (d) If the disk was initially at rest, now how fast is it rotating? That is, what is its angular speed? (The moment of inertia of a uniform disk is Â½MR2.) W = radians/s (e) How long does it take for the disk to go around once? Time to go around once = MOMENTUM (g) What was the speed of the child just after the collision? V = m/s

A playground ride consists of a disk of mass M = 59 kg and radius R = 2.2 m mounted on a low-friction axle. A child of mass m = 18 kg runs at speed v = 2.2 m/s on a line tangential to the disk and jumps onto the outer edge of the disk. m (d) If the disk was initially at rest, now how fast is it rotating? That is, what is its angular speed? (The moment of inertia of a uniform disk is Â½MR2.) W = radians/s (e) How long does it take for the disk to go around once? Time to go around once = MOMENTUM (g) What was the speed of the child just after the collision? V = m/s

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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