Solution to HW problem. A point mass of mass m is moving on a frictionless surface towards a thin rod, asshown in the diagram below. The mass of the rod is 2m and its length is L. Theinitial velocity of the point mass is vo and it points perpendicularly to the bottomof the rod. The point mass collides with the system disc-rod at the lowest point ofthe rod (as shown in diagram). The collision is perfectly inelastic and the pointmass sticks to that impact point.You can use:Irod.coM =ML? (rod of length L%3Dand mass M)2mLvoa) Find the center of mass and rotational inertia (around its COM) of the system aftercollision (disc and rod), in terms of the given parameters (m and L).b) Find the final linear velocity of the system after collision, in terms of the initialvelocity of the point mass, vo.c) Find the final angular velocity of the system after collision, in terms of vo and L. Ifyou did not find the answers to a) and b) use: RCOM =L (measured from thebottom of the rod), Isyst. =mL? and v.cOM =vo (in the same direction as vo).%3DCOM

Answered: Image /qna-images/answer/4ff65d64-89bc-4ba1-9f5a-c26a6b786a1e.jpg

A point mass of mass m is moving on a frictionless surface towards a thin rod, as shown in the diagram below. The mass of the rod is 2m and its length is L. The initial velocity of the point mass is vo and it points perpendicularly to the bottom of the rod. The point mass collides with the system disc-rod at the lowest point of the rod (as shown in diagram). The collision is perfectly inelastic and the point mass sticks to that impact point. You can use: Iyod.coM =ML2 (rod of length L and mass M) 2m vo m a) Find the center of mass and rotational inertia (around its COM) of the system after collision (disc and rod), in terms of the given parameters (m and L). b) Find the final linear velocity of the system after collision, in terms of the initial velocity of the point mass, vo. c) Find the final angular velocity of the system after collision, in terms of vo and L. If you did not find the answers to a) and b) use: RCOM =L (measured from the bottom of the rod), Isyst. =ml? and v.coM =Vo (in the same direction as vo). COM

A point mass of mass m is moving on a frictionless surface towards a thin rod, as shown in the diagram below. The mass of the rod is 2m and its length is L. The initial velocity of the point mass is vo and it points perpendicularly to the bottom of the rod. The point mass collides with the system disc-rod at the lowest point of the rod (as shown in diagram). The collision is perfectly inelastic and the point mass sticks to that impact point. You can use: Iyod.coM =ML2 (rod of length L and mass M) 2m vo m a) Find the center of mass and rotational inertia (around its COM) of the system after collision (disc and rod), in terms of the given parameters (m and L). b) Find the final linear velocity of the system after collision, in terms of the initial velocity of the point mass, vo. c) Find the final angular velocity of the system after collision, in terms of vo and L. If you did not find the answers to a) and b) use: RCOM =L (measured from the bottom of the rod), Isyst. =ml? and v.coM =Vo (in the same direction as vo). COM

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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