. Then
. (b) At point
, the velocity is
obtained
in (a), and the height is
. Compared to point
,
. So
. (c) To lift water, the pressure needs to be greater
than zero.
leads to
. To get a maximum value, we set
and use
. Then
.
3-1
(a) and (b) omitted. (c) speed = 200 cm/s in the direction.
3-2
Assume the cross-sectional are of the steel wire . The
maximum tension per area is
, so the
maximum tension is . The linear mass density is . Therefore, the maximum speed is
.
3-3
(a) Zero. (b) 0.30 m.
3-4
Given ,
,
, and
, we can obtain the
angular frequency and the wave number:
and
. We can first
write down the wave function
.
(a)
and
.
So
(b)
, and
. Therefore,
.
(c) Maximum is
.
(d) Wave function:
.
3-5
,
. (a) The wavelength is
. (b)
wavelengths. This is an enough resolution to
take detailed images of the circuits.
3-6
.
(a) amplitude:
. wavelength:
. speed:
. (b)
. (c)
Maximum speed:
.
3-7
The total wave can be expressed as
. So the total amplitude is .
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Hyok-Jon Kwon
2001-07-27