Ch10 2 #4

How does the frequency depend on length?

Ch10 2 #3

You can figure out the answer for the fundamental mode, and then figure out which overtone is shown

Ch10 2 #2

This uses the Doppler Effect to shift the frequency

Ch10 2 #1

See sheet 20

Ch10 1 #4

See the sheets on intensity, especially sheet 9.2

Ch10 1 #3

See sheet 9.5 for the definition of dB

Ch10 1 #2

See sheet 4

Ch10 1 #1

Use the speed of sound, and compute the times from the different distances the sound waves travel. Why are the distances different?

Ch9 3 #4

This a resonance question, and you are tapping at the resonance frequency. Why must this be the resonance frequency?

Ch9 3 #3

This is most easily done using conservation of energy

Ch9 3 #2

This is essentially the generalization of the previous problem.

Ch9 3 #1

Remember that total energy is conserved, and figure out when either KE or PE is zero. When KE is zero PE must be its maximum and vice versa

Ch9 2 #4

CH9 2 #3

See section 9.2.3

Ch9 2 #2

The intermediate step in this problem involves finding the period of the oscillation from the information given.

Ch9 2 #1

See sheet 14 and use Newton's 2nd law, F = ma.

Ch9 1 #4

Use the definitions on sheets 4 - 6.

Ch9 1 #3

Use the basic definitions.

Ch9 1 #2

Ch9 1 #1

Remember that a positive value means "up".

Ch8 3 #4

Ch8 3 #3

The stick isn't moving, so the sums of all forces and all torques must both be zero.

Ch8 3 #2

Ch8 3 #1

This problem is like the conservation of energy problems in Ch6, but now there is also kinetic energy of rotation, equation 8.15

Ch8 2 #4

Ch8 2 #3

Use equation 8.12. What is the moment of inertia for a cylinder?

Ch8 2 #2

The "net torque" is the sum of all torques. Remember the opposite rotation directions have opposite signs.

Ch8 2 #1

Use equation 8.10. Make sure to use the perpendicular distance between force and pivot.

Ch8 1 #4

This problem is very much like the previous problem and uses the same basic ideas. Do you see why?

Ch8 1 #3

Use the rotational analogies for linear motion in constant acceleration. The rotational forms are equations 8.7 - 8.9

Ch8 1 #2

Decide if any of the quantities, angular or linear, must be the same for both people by using the picture without any math needed. Then use definitions like equation 8.3.

Ch8 1 #1

Ch7 3 #4

Ch7 3 #3

Watch out to not confuse "elastic" and "inelastic"

Ch7 3 #2

CH7_3 #1

Ch7 2 #4

In addition to Ch7 momentum conservation, you'll need the work-energy theorem from Ch 6. The friction does work to slow the block down. Do this problem in two pieces: (1) immediately before and immediately after the collision, and (2) while the block slows down.

Ch7 2 #3

Ch7 2 #2

Ch7 2 #1

See Ch7 example 7.2

Ch7 1 #4

See Ch7 sheet 11

Ch7 1 #3

Break these problems into parts corresponding to each value of the force. (Right is moving in the positive x direction.)

Ch7 1 #2

The change in momentum is the difference between final and initial momentum

Ch7 1 #1

See Ch 7 sheet 3