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A small package of weight W is projected into a vertical
Chapter 13, Problem 13.76(choose chapter or problem)
A small package of weight W is projected into a vertical return loop at A with a velocity \(v_{0}\). The package travels without friction along a circle of radius r and is deposited on a horizontal surface at C. For each of the two loops shown, determine (a) the smallest velocity \(v_{0}\) for which the package will reach the horizontal surface at C, (b) the corresponding force exerted by the loop on the package as it passes point B.
Questions & Answers
QUESTION:
A small package of weight W is projected into a vertical return loop at A with a velocity \(v_{0}\). The package travels without friction along a circle of radius r and is deposited on a horizontal surface at C. For each of the two loops shown, determine (a) the smallest velocity \(v_{0}\) for which the package will reach the horizontal surface at C, (b) the corresponding force exerted by the loop on the package as it passes point B.
ANSWER:
Step by step solution Step 1 of 2Loop 1: (a) Newton’s second law at position C: Conservation of energy between position A and B\n Smallest velocity (b) Conservation of energy between positions A and B .Newton’s second law at position B.\nForce exerted by the loop: