A wad of clay of mass m1 with an initial horizontalvelocity v1 hits and adheres to the

Chapter 3, Problem 3/231

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QUESTION:

A wad of clay of mass \(m_{1}\) with an initial horizontal velocity \(v_{1}\) hits and adheres to the massless rigid bar which supports the body of mass \(m_{2}\), which can be assumed to be a particle. The pendulum assembly is freely pivoted at O and is initially stationary. Determine the angular velocity \(\dot{\theta}\) of the combined body just after impact. Why is linear momentum of the system not conserved?

                                                       

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QUESTION:

A wad of clay of mass \(m_{1}\) with an initial horizontal velocity \(v_{1}\) hits and adheres to the massless rigid bar which supports the body of mass \(m_{2}\), which can be assumed to be a particle. The pendulum assembly is freely pivoted at O and is initially stationary. Determine the angular velocity \(\dot{\theta}\) of the combined body just after impact. Why is linear momentum of the system not conserved?

                                                       

ANSWER:

Step 1 of 3

The figure shown below:

                             

Calculate the initial angular momentum of mass m1 about point O as follows:

         

 

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