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A light stretchless string is wrapped around a wheel of mass M = 3.00 kg, radius R= 0.400 m, and a moment of inertia I= (7/10) M· R. The cylinder is released from rest from the lower edge of a table to which the string is attached, as shown below. The cylinder unwinds itself as it descends vertically without slipping, as shown. a) Find first an algebraic expression for the magnitude of the final linear velocity vy (speed) of the center of cylinder after having descended a distance H = 5.00 m from the point of release, and then proceed to plug the numbers in to find a numerical value for it (lv/). Neglect any energy dissipation

A light stretchless string is wrapped around a wheel of mass M = 3.00 kg, radius R= 0.400 m, and a moment of inertia I= (7/10) M· R. The cylinder is released from rest from the lower edge of a table to which the string is attached, as shown below. The cylinder unwinds itself as it descends vertically without slipping, as shown. a) Find first an algebraic expression for the magnitude of the final linear velocity vy (speed) of the center of cylinder after having descended a distance H = 5.00 m from the point of release, and then proceed to plug the numbers in to find a numerical value for it (lv/). Neglect any energy dissipation

Physics for Scientists and Engineers, Technology Update (No access codes included)
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotation Of A Rigid Object About A Fixed Axis
Section: Chapter Questions
Problem 10.2OQ: Consider an object on a rotating disk a distance r from its center, held in place on the disk by...
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Please show all work and circle your answers for Parts A,B and C. Thank you in advanced!
Problem #4 A light stretchless string is wrapped around a wheel of mass M= 3.00 kg, radius R = 0.400 m, and a moment of inertia I= (7/10) M · R². The cylinder is released from rest from the lower edge of a table to which the string is attached, as shown below. The cylinder unwinds itself as it descends vertically without slipping, as shown. a) Find first an algebraic expression for the magnitude of the final linear velocity vr (speed) of the center of cylinder after having descended a distance H = 5.00 m from the point of release, and then proceed to plug the numbers in to find a numerical value for it (vd). Neglect any energy dissipation initial final M R M bcn lo nfts agbow ord lo 7 gioolev ah a dW (o b) What is the wheel's linear acceleration a? c) What is the tension T on the rope? Pogbew orli lo d irigiard adi al indW d d) What is the magnitude of the wheel's final angular speed wf after having descended the distance H from the release? e) What's the wheel's total change in angle 40 (in radians) through its complete descent of the distance H? f) What is the magnitude of the wheel's angular acceleration a? Tlo 2 sge9 Page 6 of 7
Transcribed Image Text:Problem #4 A light stretchless string is wrapped around a wheel of mass M= 3.00 kg, radius R = 0.400 m, and a moment of inertia I= (7/10) M · R². The cylinder is released from rest from the lower edge of a table to which the string is attached, as shown below. The cylinder unwinds itself as it descends vertically without slipping, as shown. a) Find first an algebraic expression for the magnitude of the final linear velocity vr (speed) of the center of cylinder after having descended a distance H = 5.00 m from the point of release, and then proceed to plug the numbers in to find a numerical value for it (vd). Neglect any energy dissipation initial final M R M bcn lo nfts agbow ord lo 7 gioolev ah a dW (o b) What is the wheel's linear acceleration a? c) What is the tension T on the rope? Pogbew orli lo d irigiard adi al indW d d) What is the magnitude of the wheel's final angular speed wf after having descended the distance H from the release? e) What's the wheel's total change in angle 40 (in radians) through its complete descent of the distance H? f) What is the magnitude of the wheel's angular acceleration a? Tlo 2 sge9 Page 6 of 7
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