 8.8.1: Verify that the positions of two particles can be written in terms ...
 8.8.2: Although the main topic of this chapter is the motion of two partic...
 8.8.3: Two particles of masses m 1 and m2 are joined by a massless spring ...
 8.8.4: Using the Lagrangian (8.13) write down the three Lagrange equations...
 8.8.5: The momentum p conjugate to the relative position r is defined with...
 8.8.6: Show that in the CM frame, the angular momentum Li of particle 1 is...
 8.8.7: a) Using elementary Newtonian mechanics find the period of a mass m...
 8.8.8: Two masses m1 and m2 move in a plane and interact by a potential en...
 8.8.9: Consider two particles of equal masses, m1 = m2, attached to each o...
 8.8.10: Two particles of equal masses m1 = m2 move on a frictionless horizo...
 8.8.11: Consider two particles interacting by a Hooke's law potential energ...
 8.8.12: a) By examining the effective potential energy (8.32) find the radi...
 8.8.13: Two particles whose reduced mass is interact via a potential energy...
 8.8.14: Consider a particle of reduced mass orbiting in a central force wit...
 8.8.15: In deriving Kepler's third law (8.55) we made an approximation base...
 8.8.16: We have proved in (8.49) that any Kepler orbit can be written in th...
 8.8.17: If you did 4.41 you met the virial theorem for a circular orbit of ...
 8.8.18: An earth satellite is observed at perigee to be 250 km above the ea...
 8.8.19: The height of a satellite at perigee is 300 km above the earth's su...
 8.8.20: Consider a comet which passes through its aphelion at a distance I...
 8.8.21: (a) If you haven't already done so, do 8.20. (b) Use Kepler's third...
 8.8.22: A particle of mass m moves with angular momentum about a fixed forc...
 8.8.23: A particle of mass m moves with angular momentum in the field of a ...
 8.8.24: Consider the particle of 8.23, but suppose that the constant A is n...
 8.8.25: [Computer] Consider a particle with mass m and angular momentum in ...
 8.8.26: Show that the validity of Kepler's first two laws for any body orbi...
 8.8.27: At time to a comet is observed at radius ro traveling with speed vo...
 8.8.28: For a given earth satellite with given angular momentum f, show tha...
 8.8.29: What would become of the earth's orbit (which you may consider to b...
 8.8.30: The general Kepler orbit is given in polar coordinates by (8.49). R...
 8.8.31: Consider the motion of two particles subject to a repulsive inverse...
 8.8.32: Prove that for circular orbits around a given gravitational force c...
 8.8.33: Figure 8.13 shows a space vehicle boosting from a circular orbit 1 ...
 8.8.34: Suppose that we decide to send a spacecraft to Neptune, using the s...
 8.8.35: A spacecraft in a circular orbit wishes to transfer to another circ...
Solutions for Chapter 8: Classical Mechanics 0th Edition
Full solutions for Classical Mechanics  0th Edition
ISBN: 9781891389221
Solutions for Chapter 8
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Key Physics Terms and definitions covered in this textbook

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parallel

any symbol
average (indicated by a bar over a symbol—e.g., v¯ is average velocity)

°C
Celsius degree

°F
Fahrenheit degree