System of three particles
Not what you're looking for?
Consider a system of three particles, each of mass m, whose motions are described by {m_1a_1 = F_12 + F_13, m_2a_2 = F_21 + F_23, m_3a_3 = F_31 + F_32}.
If particles 2 and 3, even though not rigidly bound together, are regarded as forming a composite body of mass 2m located at their mid-point r = (1/2)*(r_2 + r_3), find the equations describing the motion of the two-body system comprising particle 1 and the composite body (2+3).
What is the force on the composite body due to particle 1?
Show that the equations above (in {}) agree with m_1a_1 = -m_2a_2.
When the masses are unequal, what is the correct definition of the position of the composite (2+3) that will make m_1a_1 = - m_2a_2 hold true?
Purchase this Solution
Solution Summary
The expert examines the systems of three particles. A step by step solution provided.
Solution Preview
Consider a system of three particles, each of mass m, whose motions are described by {m1a1 = F12 + F13, m2a2 = F21 + F23, m3a3 = F31 + F32}.
If particles 2 and 3, even though not rigidly bound together, are regarded as forming a composite body of mass 2m located at their mid-point r = (1/2)*(r2 + r3), find the equations describing the motion of the two-body system comprising particle 1 and the composite body (2+3).
What is the force on the composite body due to particle 1?
Show that the equations above (in {}) agree with m1a1 = -m2a2.
When the masses are unequal, what is the correct definition of the position of the composite (2+3) that will make m1a1 = -m2a2 hold true?
y 3 F32
F31 F23 2
F21 ...
Purchase this Solution
Free BrainMass Quizzes
Variables in Science Experiments
How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.
Intro to the Physics Waves
Some short-answer questions involving the basic vocabulary of string, sound, and water waves.
Classical Mechanics
This quiz is designed to test and improve your knowledge on Classical Mechanics.
Basic Physics
This quiz will test your knowledge about basic Physics.
The Moon
Test your knowledge of moon phases and movement.