A uniform rod of mass M = 2.0 kg and length L = 0.50 m is hung vertically and pivoted at its upper end. Itis free to rotate (without friction) in a vertical plane about a horizontal axis which passes through the pivotpoint. A small particle of mass m = 10 g is shot at the rod with initial speed v; = 100 m/s at 60° below thehorizontal, immediately sticking to the lower end of the rod upon hitting it. (rod: Iem =ML?)(a) Consider the rod and the particle as one system. In the collision process, is the mechanical energy of thesystem conserved? What about the linear momentum and the angular momentum? Give simplejustifications.(b) What is the angular speed o of the rod-particle system immediately after the collision?(c) After the particle sticks to the rod, through what angle 0 does the system rotate about the pivot?

Answered: Image /qna-images/answer/ddc09bca-cb9b-435d-b543-2e96be8bc850.jpg Angular displacement, θ = 15.6o

A uniform rod of mass M = 2.0 kg and length L = 0.50 m is hung vertically and pivoted at its upper end. It is free to rotate (without friction) in a vertical plane about a horizontal axis which passes through the pivot point. A small particle of mass m = 10 g is shot at the rod with initial speed v; = 100 m/s at 60° below the horizontal, immediately sticking to the lower end of the rod upon hitting it. (rod: Iem =ML²) (a) Consider the rod and the particle as one system. In the collision process, is the mechanical energy of the system conserved? What about the linear momentum and the angular momentum? Give simple justifications. (b) What is the angular speed o of the rod-particle system immediately after the collision? (c) After the particle sticks to the rod, through what angle 0 does the system rotate about the pivot? 12

A uniform rod of mass M = 2.0 kg and length L = 0.50 m is hung vertically and pivoted at its upper end. It is free to rotate (without friction) in a vertical plane about a horizontal axis which passes through the pivot point. A small particle of mass m = 10 g is shot at the rod with initial speed v; = 100 m/s at 60° below the horizontal, immediately sticking to the lower end of the rod upon hitting it. (rod: Iem =ML²) (a) Consider the rod and the particle as one system. In the collision process, is the mechanical energy of the system conserved? What about the linear momentum and the angular momentum? Give simple justifications. (b) What is the angular speed o of the rod-particle system immediately after the collision? (c) After the particle sticks to the rod, through what angle 0 does the system rotate about the pivot? 12

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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