The 2-lb ball at A is suspended by an inextensible cord

Chapter 13, Problem 13.201

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QUESTION:

The 2-lb ball at A is suspended by an inextensible cord and given an initial horizontal velocity of \(v_{0}\). If l = 2 ft, \(x_{B} = 0.3 \ ft\), and \(y_{B} = 0.4 \ ft\), determine the initial velocity \(v_{0}\) so that the ball will enter the basket. (Hint: Use a computer to solve the resulting set of equations.)

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QUESTION:

The 2-lb ball at A is suspended by an inextensible cord and given an initial horizontal velocity of \(v_{0}\). If l = 2 ft, \(x_{B} = 0.3 \ ft\), and \(y_{B} = 0.4 \ ft\), determine the initial velocity \(v_{0}\) so that the ball will enter the basket. (Hint: Use a computer to solve the resulting set of equations.)

ANSWER:

Step by step solution Step 1 of 11Let position 1 be at ALet position 2 be the point described by the angle where the path of the ball changesfrom circular to parabolic. At position 2 the tension Q in the cord is Zero.Relationship between and based on .

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