Figure 9-23 shows an overhead view of three particles on

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QUESTION:

Figure 9-23 shows an overhead view of three particles on which external force act. The magnitude and directions of the forces on two of the particles are indicated. What are the magnitude and direction of the force acting on the third particle if the centre of mass of the three particle system is (a) stationary, (b) moving at a constant velocity rightward, and (c) accelerating rightward?

                                           

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QUESTION:

Figure 9-23 shows an overhead view of three particles on which external force act. The magnitude and directions of the forces on two of the particles are indicated. What are the magnitude and direction of the force acting on the third particle if the centre of mass of the three particle system is (a) stationary, (b) moving at a constant velocity rightward, and (c) accelerating rightward?

                                           

ANSWER:

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(a)

If the centre of mass is then the centre of mass of the acceleration will also be zero.

                                                            

                                             graph_line.jpg

The expression for the centre of mass of the acceleration is given by;

                                                 

                                                   

Therefore the force acting on the third particles is  in the rightward direction.

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