Center of Mass
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We have the following distribution of masses in the xy-plane: m1 = 2 kg at position (1, -1), m2 = 3 kg at (0, 2), m3 = 1 kg at (-1,0), m4 = 2 kg at (4, 3) and m5 = 7 kg at (-11, 2). Determine the coordinates of the center of mass of this distribution and plot a graph.
Solution

Two particles, A and B, have masses of 4 kg and 6 kg, respectively. Both move with constant speeds vA = 5 m/s e vB = 3 m/s such that their directions make an angle of 60°. Determine:
a) The velocity of the center of mass;
b) The momentum of the system.
Solution

A semicircular arc of radius R has the center of mass at a distance \( \frac{2R}{\pi} \) from the center. Determine the position of the center of mass, of a wire homogeneous and a constant cross-section with the shape shown in the figure, relative to the cartesian system given.
Solution

A man of mass m is sitting on the stern of a resting boat in a lake. The mass of the boat is M = 3m, and its length is L. The man rises and walks toward the bow. Neglecting the water resistance determine the distance D that the boat travels when the man walks from the stern to the bow.
Solution using center of mass

Solution using linear momentum

From the opposite sides of a platform of length L, resting on frictionless rollers, an adult and a child are running toward each other. Determine how far the platform will slide when the adult moves from one end of the platform to the other. We know that the speed of the adult is twice the speed of the child, and the masses of the platform, the adult, and the child are m1, m2 and m3, respectively.
Solution using center of mass

Solution using linear momentum
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Fisicaexe - Physics Solved Problems by Elcio Brandani Mondadori is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License .