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Consider a system of three equal-mass particles moving in a pl
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Consider a system of three equal-mass particles moving in a plane; their positions are given by a i i ^ + b i j ^ , where a i and b i are functions of time with the units of position. Particle 1 has a 1 = 6 t 2 + 5 and b 1 = 0; particle 2 has a 2 = 4 t + 3 and b 2 = 4t; particle 3 has a 3 = 8 t and b 3 = t + 4. Find the center-of-mass position, velocity, and acceleration of the system as functions of time.

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Consider a system of three equal-mass particles moving in a plane; their positions are given by a i i ^ + b i j ^ , where a i and b i are functions of time with the units of position. Particle 1 has a 1 = 6 t 2 + 5 and b 1 = 0; particle 2 has a 2 = 4 t + 3 and b 2 = 4t; particle 3 has a 3 = 8 t and b 3 = t + 4. Find the center-of-mass position, velocity, and acceleration of the system as functions of time.
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Question Text
Consider a system of three equal-mass particles moving in a plane; their positions are given by a i i ^ + b i j ^ , where a i and b i are functions of time with the units of position. Particle 1 has a 1 = 6 t 2 + 5 and b 1 = 0; particle 2 has a 2 = 4 t + 3 and b 2 = 4t; particle 3 has a 3 = 8 t and b 3 = t + 4. Find the center-of-mass position, velocity, and acceleration of the system as functions of time.
TopicAll topics
SubjectPhysics
ClassClass 12
Answer TypeText solution:1