 7.7.1: Write down the Lagrangian for a projectile (subject to no air resis...
 7.7.2: Write down the Lagrangian for a onedimensional particle moving alo...
 7.7.3: Consider a mass in moving in two dimensions with potential energy U...
 7.7.4: Consider a mass m moving in a frictionless plane that slopes at an ...
 7.7.5: Find the components of V f (r, 0) in twodimensional polar coordina...
 7.7.6: Consider two particles moving unconstrained in three dimensions, wi...
 7.7.7: Do 7.6, but for N particles moving unconstrained in three dimension...
 7.7.8: (a) Write down the Lagrangian L (x1, x2, xl, i2) for two particles ...
 7.7.9: Consider a bead that is threaded on a rigid circular hoop of radius...
 7.7.10: A particle is confined to move on the surface of a circular cone wi...
 7.7.11: Consider the pendulum of Figure 7.4, suspended inside a railroad ca...
 7.7.12: Lagrange's equations in the form discussed in this chapter hold onl...
 7.7.13: In Section 7.4 [Equations (7.41) through (7.51)], I proved Lagrange...
 7.7.14: Figure 7.12 shows a crude model of a yoyo. A massless string is sus...
 7.7.15: A mass mi rests on a frictionless horizontal table and is attached ...
 7.7.16: Write down the Lagrangian for a cylinder (mass m, radius R, and mom...
 7.7.17: Use the Lagrangian method to find the acceleration of the Atwood ma...
 7.7.18: A mass m is suspended from a massless string, the other end of whic...
 7.7.19: In Example 7.5 (page 258) the two accelerations are given by Equati...
 7.7.20: A smooth wire is bent into the shape of a helix, with cylindrical p...
 7.7.21: The center of a long frictionless rod is pivoted at the origin, and...
 7.7.22: Using the usual angle 0 as generalized coordinate, write down the L...
 7.7.23: A small cart (mass m) is mounted on rails inside a large cart. The ...
 7.7.24: We saw in Example 7.3 (page 255) that the acceleration of the Atwoo...
 7.7.25: Prove that the potential energy of a central force F = krni (with n...
 7.7.26: In Example 7.7 (page 264), we saw that the bead on a spinning hoop ...
 7.7.27: Consider a double Atwood machine constructed as follows: A mass 4m ...
 7.7.28: A couple of points need checking from Example 7.6 (page 260). (a) F...
 7.7.29: Figure 7.14 shows a simple pendulum (mass m, length 1) whose point ...
 7.7.30: Consider the pendulum of Figure 7.4, suspended inside a railroad ca...
 7.7.31: A simple pendulum (mass M and length L) is suspended from a cart (m...
 7.7.32: Consider the cube balanced on a cylinder as described in Example 4....
 7.7.33: A bar of soap (mass m) is at rest on a frictionless rectangular pla...
 7.7.34: Consider the wellknown problem of a cart of mass m moving along th...
 7.7.35: Figure 7.16 is a bird'seye view of a smooth horizontal wire hoop t...
 7.7.36: A pendulum is made from a massless spring (force constant k and uns...
 7.7.37: Two equal masses, ml = m2 = m, are joined by a massless string of l...
 7.7.38: A particle is confined to move on the surface of a circular cone wi...
 7.7.39: a) Write down the Lagrangian for a particle moving in three dimensi...
 7.7.40: The "spherical pendulum" is just a simple pendulum that is free to ...
 7.7.41: Consider a bead of mass m sliding without friction on a wire that i...
 7.7.42: [Computer] In Example 7.7 (page 264), we saw that the bead on a spi...
 7.7.43: Computer] Consider a massless wheel of radius R mounted on a fricti...
 7.7.44: [Computer] If you haven't already done so, do 7.29. One might expec...
 7.7.45: (a) Verify that the coefficients Ai j in the important expression (...
 7.7.46: Noether's theorem asserts a connection between invariance principle...
 7.7.47: In Chapter 4 (at the end of Section 4.7) I claimed that, for a syst...
 7.7.48: Let F = F (q 1, , qn) be any function of the generalized coordinate...
 7.7.49: Consider a particle of mass in and charge q moving in a uniform con...
 7.7.50: A mass m1 rests on a frictionless horizontal table. Attached to it ...
 7.7.51: Write down the Lagrangian for the simple pendulum of Figure 7.2 in ...
 7.7.52: The method of Lagrange multipliers works perfectly well with nonCa...
Solutions for Chapter 7: Classical Mechanics 0th Edition
Full solutions for Classical Mechanics  0th Edition
ISBN: 9781891389221
Solutions for Chapter 7
Get Full Solutions
Solutions for Chapter 7
23
2
This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Classical Mechanics, edition: 0. Classical Mechanics was written by and is associated to the ISBN: 9781891389221. Chapter 7 includes 52 full stepbystep solutions. Since 52 problems in chapter 7 have been answered, more than 47633 students have viewed full stepbystep solutions from this chapter.
Key Physics Terms and definitions covered in this textbook

//
parallel

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

°C
Celsius degree

°F
Fahrenheit degree