- 1-4 : Review Table 1-1

- 1-6 : Review Section 1-3

- 1-18 : See example 1-2

- 1-20 : The argument of the exponential is dimensionless.

- 1-26 : The dimensions of force are kg m/sec^2. Now follow
the procedure in example 1-2

- 1-52 : What is the volume of a sphere in terms of its
radius ? (See appendix D for mathematics review)

- 2-8 : Review Section 2-1 and definitions of velocity,
displacement.

- 2-15 : Again review Section 2-1 and definitions of velocity,
displacement

- 2-22 : Review examples 2-5 and 2-6 and the graphical
interpretation of average and instantaneous velocity

- 2-24 : Review examples 2-5 and 2-6. Also equations 2-5 and 2-6.

- 2-36 : Review examples 2-5 and 2-6 and the graphical
interpretation of velocity and acceleration

- 2-40: Review equations 2-5 and 2-10

- 2-72 : Review applications of equation 2-15.
Use v^2= v_0^2 + 2 a delta x. The velocity just after leaving
the floor is slightly less than the velocity that it hits
the floor since the final height 2m is less than the initial
height. For part (c), a reasonable guess is the ball is contact
with the floor for 0.05 s.

- 2-76 : Write down expressions for the velocity and
displacement at all times in terms of v_0 and a. Insert the known
information and then solve.

- 2-82:
Review examples 2-15 and 2-18. Write expressions
for the displacement of each stone and then insert the given
information.

- 2-122 : Review examples 2-15 and 2-18. Write expressions
for the displacement of each police car and then insert the given
information.

- 3-14 : Review section 3-2 and equation 3-8.

- 3-16 : Review section 3-2 and operations with vectors in
Table 3-1

- 3-36 : Write the vector displacement and velocity
in component form. Review examples 3-3 and 3-6

- 3-38 : Review example 3-5

- 3-42 : Review example 3-4

- 3-58 : Write the x and y components of the displacement.
What is the y component of the velocity at its highest point ?

- 3-70 : Find the time of flight first. Review examples
3-8 and 3-9 for similiar problems.

- 3-102 : Find the condition on the velocity to
clear the cars. Remember the motorcyclist can only drop 5 m and
that the initial velocity is in the horizontal direction.

- 4-12 : Add the force vectors. Review example 4-7 if
necessary.

- 4-14 : How are displacement and acceleration related
for constant acceleration ?

- 4-24 : Review the difference between mass and weight,
section 4-3.

- 4-32 : Review section 4-4

- 4-42 : Review section 4-6. (b) Static equilibrium
implies the net force is zero.

- 4-47 : Review example 4-9.

- 4-56 : Balance force
components. Review examples 4-8 and 4-9.

- 4-76 :
Define a convenient coordinate system.
Then write down the equations of motion in the
x and y directions for each mass.

- 4-81 : Define a convenient coordinate system.
Then write down the equations of motion in the
x and y directions for each mass. How are the accelerations
of mass 1 and mass 2 related ?

- 5-4 : What is the acceleration along the inclined
plane ?

- 5-14 : Review example 5-1.

- 5-22 : Review example 5-4 and example 4-8

- 5-55 : Write the equation of motion for each
block. Be careful about the signs.

- 5-66 : Review example 5-9.

- 5-34 : Review example 5-6.

- 5-52 : Review examples 5-8 and 5-9

- 5-108 : (a) What is the magnitude of r vector ?
What is the equation that describes a circle ?

- 6-6 : Review the definition of kinetic energy.

- 6-10 : Use the Work-Energy Theorem.

- 6-20 : Review example 6-8

- 6-26 : Review p. 155-157

- 6-42 : An easy way: Use Power x time = Delta K.E.

- 6-56 : (a) Review definition of U_grav (b),(c) Use kinematic
equations from chapter 3 (d) Use conservation of mechanical energy.
energy. Review example 6-12

- 6-61 : Review Atwood's machine example from class or
example 7-5. Express K in terms of m_1 + m_2.
Express a in terms of m_1, m_2 and
g. Now solve for the masses.

- 6-78 : The potential energy of N people is N m g h.
Compare this to the energy in Joules that corresponds to 54.3
billion kW-h.

- 7-6 : Define the zero of U_grav at the equilibrium
position. Apply conservation of energy as in example 7-2.

- 7-8 : Conserve mechanical energy. Study example 7-3.

- 7-18 : Compute the mechanical energy at P and Q.
Conserve energy.

- 7-20 : Conserve mechanical energy. Pick a convenient
point for U_grav=0. Then write down E_i and E_f.

- 7-42 : What is U= m g h. Remember to how express mass
in terms of density.

- 7-49 : Break up into two parts, the sloped and flat
sections. For the first part delta E=0. For the second part,
delta E= W_nc (the work done by friction).

- 7-82 : Use conservation of energy and remember the normal
force N=0 when the particle has just enough velocity to go around
the top of the loop.

- 8-6 : Find the center of the mass of the handle.
Find the center of mass of the club. Now treat as two
point particles located at the center of masses of each.

- 8-7 : Review definition of center of mass on p 213.

- 8-18 : Review section 8-3 and use equation 8-7.

- 8-19 : Review section 8-3.

- 8-32 : Use conservation of momentum. P_i = ? P_f = ?

- 8-66 : Review example 8-17. Use conservation of momentum
and energy.

- 8-69 : (a) Review equation 8-7
(b) After the collision while the masses are connected,
energy is conserved. (c) The collision is elastic.
(d) Note that this is easiest in the CM frame

- 8-114 : During the collision, momentum is conserved.
After the bullet is embedded, energy is conserved.

- 8-121 : The net external force is zero since truck and
car make an action-reaction pair.

- 9-6 : review section 9-1 and example 9-1

- 9-23 : Review example 9-6.

- 9-30 : review definition of moment of inertia and
example 9-2

- 9-33 : Review parallel axis theorem (9-21) and example
9-4

- 9-48 : (a) Use equation 9-23 (b) review how to calculate
the moment of inertia (eqn 9-17)

- 9-68 : An easy way to do this. First use conservation
of mechanical energy to get the velocity v. (Don't forget about
the rotational kinetic energy of the wheel). Then find acceleration a
from v^2= 2 a delta x. Be careful about the tensions, since the
pulley is not masseless T_1 is not quite equal to T_2.

- 9-86 : Study example 9-15.

- 9-92 : We have done this before. Don't forget to
include the rotational kinetic energy.

- 9-118 : Conservation of energy. Don't forget
to include the rotational kinetic energy.

- 10-4 : Use equation 10-11

- 10-5 : Review cross product of vectors p 296

- 10-26 : Torque is r x F and dL/dt. Use both

- 10-72 : Review definition of angular momentum and example
10-1

- 10-34 : If F and r are parallel, what is the torque ?

- 10-38 : Study example 10-3

- 10-50 : Review example 10-7

- 10-82 : Review problem 10-34. Look at Figure 11-4.

- General hints : Remember that if the r and F vectors
are parallel then r x F is zero. For the Kepler's Laws problems,
use this to deduce that angular momentum is conserved.
For the second Kepler's law problem, remember how to
express the area of a triangle in terms of the lengths
of the sides.

- For angular momentum conservation problems. Write down
initial and final angular momenta. Remember that the motion
can be decomposed into two parts, motion of the center of mass
and motion relative to the center of mass.

- 11-81 : Use the hint in the problem. Write down
the gravitational field of the large sphere. Write down the
gravitational field of the smaller sphere. Remember their
centers are at different locations

- 11-105 : Write down the force as a function
of radius. (It will depend on the mass enclosed at radius r.
Review equation 11-27 and accompanying text). Now integrate F dr and use
energy conservation

- 12-16 : The sum of torques is zero. Use this principle
as in examples 12-1 and 12-2.

- 12-28 : Study example 12-3

- 12-34 : Review example 12-4

- 12-48 : Review example 12-5. Remember the frictionless
floor only exerts a normal force on the ladder. Balance forces
and torques.

- 13-18 : Review buoyant force (examples 13-6, 13-7)
and equation 13-13

- 13-12 : Review Pascal's principle

- 13-26 : Think about Archimedes principle and the
size of the buoyant forces.

- 13-51 : Similiar to example 13-8. An application
of Bernoulli's Law.

- 14-6 : Review examples 14-1 and 14-2

- 14-18 : Review p. 409 and homework problem 5-108

- 14-46 : Review section 14-3

- 14-58 : Review the physical pendulum. Use the parallel
axis theorem, p. 265.

- 14-116 : Use the hint in the text i.e write F= k_eff * x
and solve for k_eff.

- 14-76 : Review section 14-4 and example 14-12

- 14-90 : Review example 14-13. After one cycle,
E= E_0 * (1- Delta E/E). After n cycles, E = E_0 * (1- Delta E/E)^n

15-8: What is the relation between tension, linear density and wave speed ?

15-28: Review example 15-4. Note f(x-v t) (f(x+v t)) describes a wave traveling to the right (left).

15-36: Use equation 15-22

15-40: How does spherical wave intensity fall off with distance. Review section 15-3.

- 15-44 : Review the definition of the decibel scale p. 457

- 15-68 : Does lambda (wavelength) change in this case ?

- 15-60 : Try to draw a picture of the wavefronts.

- 15-101 : Review p 443 and example 15-4

- 16-12 : Review examples 16-2 and 16-3.

- 16-46 : Review p. 493

- 16-49 : Review section 16-2

- 16-8 : Use equation 16-9 to find the phase difference.
Use equation 16-6 to find the amplitude. (Review examples 16-2 and 16-3)

- 16-76 : Review the string fixed at one end p. 492

- 18-24 : Use equation 18-13. Be careful to use R with the
correct units. (Review example 18-3)

- 18-32 : Remember P = P_0 + rho g h (chapter on fluids).
Now use P V = n R T. Be careful with units.

- 18-40 : Reread p 551 (careful about the units of R)

- 18-44 : Review example 18-7. Read the paragraph on p 558
below the example.

- 18-62 : Review p 550

- 19-2 : review p 567

- 19-6 : Review examples 19-3 and 19-4 (remember
you must take into account the energies associated with
phase changes as well as the energy to raise/lower the temperature)

- 19-10 : Review example 19-5

- 19-12 : No phase changes. The two substances must
come into equilibrium and be at the same final temperature.
The heat lost by the lead is equal to the heat gained by the water.

- 19-28 : Review equation 19-10 and example 19-6

- 19-40 : Review section 19-5 and example 19-7

- 19-20 : Calculate the heat flow for each component.
Set the sum equal to zero. Review example 19-4.

- 19-38 : Review the discussion of PV diagrams p. 576-577

- 19-54 : What is the internal energy for a diatomic gas ?
(see p. 582) (b) Find dT first, now determine d U, and
get W from the first law of thermodynamics (c) How much
work is done if the volume is held constant ? Note example 19-9
is similiar

- 20-6 : Use equation 20-2. See example 20-1.

- 20-52 : Review of concepts in chapter 20

December 3, 1998