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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

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

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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 mo P. R. my 27. A uniform rope of mas m and length is spread out on a horizontal
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 radius of its circular path in its steady motion mo P. R. my 27. A uniform rope of mas m and length is spread out on a horizontal
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