 4.4.1: By writing a b in terms of components prove that the product rule f...
 4.4.2: Evaluate the work done P W = f F dr = f (Fxdx Fydy) 0 0 (4.100) by ...
 4.4.3: Do the same as in 4.2, but for the force F = (y, x) and for the thr...
 4.4.4: A particle of mass m is moving on a frictionless horizontal table a...
 4.4.5: a) Consider a mass m in a uniform gravitational field g, so that th...
 4.4.6: For a system of N particles subject to a uniform gravitational fiel...
 4.4.7: Near to the point where I am standing on the surface of Planet X, t...
 4.4.8: Consider a small frictionless puck perched at the top of a fixed sp...
 4.4.9: a) The force exerted by a onedimensional spring, fixed at one end,...
 4.4.10: Find the partial derivatives with respect to x, y, and z of the fol...
 4.4.11: Find the partial derivatives with respect to x, y, and z of the fol...
 4.4.12: Calculate the gradient Vf of the following functions, f (x, y, z): ...
 4.4.13: Calculate the gradient Vf of the following functions, f (x, y, z): ...
 4.4.14: Prove that if f (r) and g(r) are any two scalar functions of r, the...
 4.4.15: For f (r) = x2 + 2y2 3z2, use the approximation (4.35) to estimate ...
 4.4.16: If a particle's potential energy is U(r) = k(x2 + y2 + z2), ) where...
 4.4.17: A charge q in a uniform electric field Eo experiences a constant fo...
 4.4.18: Use the property (4.35) of the gradient to prove the following impo...
 4.4.19: (a) Describe the surfaces defined by the equation f = const, where ...
 4.4.20: Find the curl, V x F, for the following forces: (a) F = kr; (b) F =...
 4.4.21: Verify that the gravitational force GMini 1r2 on a point mass m at ...
 4.4.22: The proof in Example 4.5 (page 119) that the Coulomb force is conse...
 4.4.23: Which of the following forces is conservative? (a) F = k(x , 2y, 3z...
 4.4.24: An infinitely long, uniform rod of mass p, per unit length is situa...
 4.4.25: The proof that the condition V x F = 0 guarantees the path independ...
 4.4.26: A mass m is in a uniform gravitational field, which exerts the usua...
 4.4.27: Suppose that the force F(r, t) depends on the time t but still sati...
 4.4.28: Consider a mass m on the end of a spring of force constant k and co...
 4.4.29: [Computer] A mass m confined to the x axis has potential energy U =...
 4.4.30: Figure 4.25 shows a child's toy, which has the shape of a cylinder ...
 4.4.31: a) Write down the total energy E of the two masses in the Atwood ma...
 4.4.32: Consider the bead of Figure 4.13 threaded on a curved rigid wire. T...
 4.4.33: Computer] (a) Verify the expression (4.59) for the potential energy...
 4.4.34: An interesting onedimensional system is the simple pendulum, consi...
 4.4.35: Consider the Atwood machine of Figure 4.15, but suppose that the pu...
 4.4.36: A metal ball (mass m) with a hole through it is threaded on a frict...
 4.4.37: Computer] Figure 4.28 shows a massless wheel of radius R, mounted o...
 4.4.38: Computer] Consider the simple pendulum of 4.34. You can get an expr...
 4.4.39: a) If you have not already done so, do 4.38(a). (b) If the amplitud...
 4.4.40: a) Verify the three equations (4.68) that give x, y, z in terms of ...
 4.4.41: A mass m moves in a circular orbit (centered on the origin) in the ...
 4.4.42: In one dimension, it is obvious that a force obeying Hooke's law is...
 4.4.43: In Section 4.8, I claimed that a force F(r) that is central and sph...
 4.4.44: 4.43 suggests two proofs that a central, spherically symmetric forc...
 4.4.45: In Section 4.8, I proved that a force F(r) = f (r)i that is central...
 4.4.46: Consider an elastic collision of two particles as in Example 4.8 (p...
 4.4.47: Consider a headon elastic collision between two particles. (Since ...
 4.4.48: A particle of mass m1 and speed v1 collides with a second particle ...
 4.4.49: Both the Coulomb and gravitational forces lead to potential energie...
 4.4.50: The formalism of the potential energy of two particles depends on t...
 4.4.51: Write out the arguments of all the potential energies of the fourp...
 4.4.52: Consider the fourparticle system of Section 4.10. (a) Write down t...
 4.4.53: (a) Consider an electron (charge e and mass m) in a circular orbit ...
Solutions for Chapter 4: Classical Mechanics 0th Edition
Full solutions for Classical Mechanics  0th Edition
ISBN: 9781891389221
Solutions for Chapter 4
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Classical Mechanics was written by and is associated to the ISBN: 9781891389221. Chapter 4 includes 53 full stepbystep solutions. 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. Since 53 problems in chapter 4 have been answered, more than 52942 students have viewed full stepbystep solutions from this chapter.
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