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Center of Mass of Particles

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A) Find the xcm coordinate of the center of mass of the system of particles shown in the figure. (See attached file for full problem description with diagram and values)

Express your answer in meters to two significant figures.
xcm =

B) A straight rod has one end at the origin and the other end at the point (L,0) and a linear density given by lambda = ax^2 , where is a known constant and is the x coordinate. Since this wire is not uniform, you will have to use integration to solve this part. Use this integration formula to find the total mass . Find xcm for this rod.
Express your answer in terms of one or both of a and L .
xcm =

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This solution contains step-by-step explanations and calculations to determine the xcm coordinate of the center of mass for the system of particles and for the rod. All workings and formulas are shown for further understanding.

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Find the x coordinate of the center of mass.

Please see the attached file for full problem description with diagram.

For the system of particles described above, find the x coordinate xcm of the center of mass. Assume that the particle of mass M is at the origin and the positive x axis is directed to the right.
Express your answer in terms of L.

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