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26. A light inextensible cord is wrapped around a frictionless cylinder of radius R fixed vertically on a floor that is lubricated with oil. A bead of mass m is tied at one end of the cord and the other end P is free as shown by the top view of the situation. Force of viscous drag on the bead due to layer of the lubricating oil is proportional to the speed of the bead and the proportionality constant is k. If the free end of the cord is pulled with a constant speed u along the cylinder, the bead eventually acquires a steady motion on a circular path. Find expressions for speed of the bead and radius of its circular path in its steady motion R 27 4 m out on a horizonta

26. A light inextensible cord is wrapped around a frictionless cylinder of radius R fixed vertically on a floor that is lubricated with oil. A bead of mass m is tied at one end of the cord and the other end P is free as shown by the top view of the situation. Force of viscous drag on the bead due to layer of the lubricating oil is proportional to the speed of the bead and the proportionality constant is k. If the free end of the cord is pulled with a constant speed u along the cylinder, the bead eventually acquires a steady motion on a circular path. Find expressions for speed of the bead and radius of its circular path in its steady motion R 27 4 m out on a horizonta

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26. A light inextensible cord is wrapped around a frictionless cylinder of radius R fixed vertically on a floor that is lubricated with oil. A bead of mass m is tied at one end of the cord and the other end P is free as shown by the top view of the situation. Force of viscous drag on the bead due to layer of the lubricating oil is proportional to the speed of the bead and the proportionality constant is k. If the free end of the cord is pulled with a constant speed u along the cylinder, the bead eventually acquires a steady motion on a circular path. Find expressions for speed of the bead and radiųs of its circular path in its steady motion R. my 27 A uniform rone of mas m and lengthlis spread out on a horizonta P.
Transcribed Image Text:26. A light inextensible cord is wrapped around a frictionless cylinder of radius R fixed vertically on a floor that is lubricated with oil. A bead of mass m is tied at one end of the cord and the other end P is free as shown by the top view of the situation. Force of viscous drag on the bead due to layer of the lubricating oil is proportional to the speed of the bead and the proportionality constant is k. If the free end of the cord is pulled with a constant speed u along the cylinder, the bead eventually acquires a steady motion on a circular path. Find expressions for speed of the bead and radiųs of its circular path in its steady motion R. my 27 A uniform rone of mas m and lengthlis spread out on a horizonta P.
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