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Solved: A particle of mass m is moving on a frictionless
Chapter 4, Problem 4.4(choose chapter or problem)
A particle of mass m is moving on a frictionless horizontal table and is attached to a massless string, whose other end passes through a hole in the table, where I am holding it. Initially the particle is moving in a circle of radius with angular velocity , but I now pull the string down through the hole until a length r remains between the hole and the particle. (a) What is the particle's angular velocity now? (b) Assuming that I pull the string so slowly that we can approximate the particle's path by a (a) (b) Figure 4.24 (a) 4.2. (b) 4.3 a circle of slowly shrinking radius, calculate the work I did pulling the string. (c) Compare your answer to part (b) with the particle's gain in kinetic energy.
Figure 4.24 (a) Problem 4.2 (b) Problem 4.3
Questions & Answers
QUESTION:
A particle of mass m is moving on a frictionless horizontal table and is attached to a massless string, whose other end passes through a hole in the table, where I am holding it. Initially the particle is moving in a circle of radius with angular velocity , but I now pull the string down through the hole until a length r remains between the hole and the particle. (a) What is the particle's angular velocity now? (b) Assuming that I pull the string so slowly that we can approximate the particle's path by a (a) (b) Figure 4.24 (a) 4.2. (b) 4.3 a circle of slowly shrinking radius, calculate the work I did pulling the string. (c) Compare your answer to part (b) with the particle's gain in kinetic energy.
Figure 4.24 (a) Problem 4.2 (b) Problem 4.3
ANSWER:Step 1 of 4
Part (a)
Let 
Now apply the conservation of angular momentum.
