Problem 3: Let P' (mass 4 m) be an attracting particle acting on the system S....

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Problem 3: Let P' (mass 4 m) be an attracting particle acting on the system S. The system S is comprised of the 4 colored particles: S4 a2 S1 S3 S2 Then, the system S possesses the following characteristics where the distance of each particle relative to P'is given: Fo4da-2d S1 mass = 2.5 m S2 mass = 2 m F S3 mass = 3 m S4 mass = 6 m P' mass = 4 m = S=11da-10d 70-S=6da-5d 7.0S = 14 d+5d 70-54 70S = 15 d 8 d (a) Plot the system exactly to scale. Compute the location of the c.m.; add the center of mass to the figure. (b) Compute the resultant gravity force; express it as a magnitude and unit vector in terms of a, . Add the resultant gravity force to the figure including its line of action as it extends through the system S. (c) Determine the distance R' between the attracting particle and the c.g. Add the c.g. to the figure. Do the c.m. and the c.g. coincide? (d) Determine the equivalent system, i.e., a force and moment about the center of mass that will deliver the same dynamical effect to the system. (Note that for this system of particles, it is possible to get the exact gravity force and the exact gravity moment!) Problem 3: Let P' (mass 4 m) be an attracting particle acting on the system S. The system S is comprised of the 4 colored particles: S4 a2 S1 S3 S2 Then, the system S possesses the following characteristics where the distance of each particle relative to P'is given: Fo4da-2d S1 mass = 2.5 m S2 mass = 2 m F S3 mass = 3 m S4 mass = 6 m P' mass = 4 m = S=11da-10d 70-S=6da-5d 7.0S = 14 d+5d 70-54 70S = 15 d 8 d (a) Plot the system exactly to scale. Compute the location of the c.m.; add the center of mass to the figure. (b) Compute the resultant gravity force; express it as a magnitude and unit vector in terms of a, . Add the resultant gravity force to the figure including its line of action as it extends through the system S. (c) Determine the distance R' between the attracting particle and the c.g. Add the c.g. to the figure. Do the c.m. and the c.g. coincide? (d) Determine the equivalent system, i.e., a force and moment about the center of mass that will deliver the same dynamical effect to the system. (Note that for this system of particles, it is possible to get the exact gravity force and the exact gravity moment!)