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(Solved) : 513 Hole Hole Radius R Cut Infinite Flat Sheet Mass Density Per Unit Area Let L Line Perpe Q32812988 . . .

5.13. Through the hole ** (a) A hole of radius R is cut out from an infinite flat sheet with mass density σ per unit area Let L be the line that is perpendicular to the sheet and that passes through the center of the hole. What is the force on a massm that is located on L, at a distance x from the center of the hole? Hint Consider the plane to consist of many concentric rings. (b) If a particle is released from rest on L, very close to the center of the hole, show that it undergoes oscillatory motion, and find the frequency of these oscillations. (c) If a particle is released from rest on L, at a distance x from the sheet, what is its speed when it passes through the center of the hole? What is your answer in the limit

5.13. Through the hole ** (a) A hole of radius R is cut out from an infinite flat sheet with mass density σ per unit area Let L be the line that is perpendicular to the sheet and that passes through the center of the hole. What is the force on a massm that is located on L, at a distance x from the center of the hole? Hint Consider the plane to consist of many concentric rings. (b) If a particle is released from rest on L, very close to the center of the hole, show that it undergoes oscillatory motion, and find the frequency of these oscillations. (c) If a particle is released from rest on L, at a distance x from the sheet, what is its speed when it passes through the center of the hole? What is your answer in the limit Show transcribed image text

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Answer to 513 Hole Hole Radius R Cut Infinite Flat Sheet Mass Density Per Unit Area Let L Line Perpe Q32812988 . . .

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