•
• 8595965620 •
20
11\\1\11\1\1 \111' 11I11 1111111111 1111111111 11111111111111 1111
4
Fig. 4.1 shows a metronome.
A metronome is a device used by musicians to set a regular beat in which a rod moves backwards
and forwards. The movement of a rod is controlled by gears inside the casing of the metronome.
The rod must be displaced sideways before it starts to move.
The frequen cy of the beat of the rod is adjusted by moving a mass along the length of the rod. The
position of the mass on the rod determines the frequency of the beat. The position of the mass
can be measured on the sca le of the metronome.
Most music is within the range 60 to 200 beats per minute.
scale
mass
Fig . 4.1
The frequency of oscillation of a ve rtical rod clamped at the bottom, with a mass m placed a
distance d along its length is
where k and p and q are constants.
hfzfkt
You are provided with a rod, some small masses and a clamp.
Design an experiment to determine the va lu es of p and q.
You should draw a diagram to show the arrangeme nt of your apparatus and you should pay
particular attention to
(a)
(b)
(e)
(d)
the equipment you wou ld use
the procedure to be followed
how you could ca lculate whether your frequencies are within the range referred to
the control of variables
(e) any precautions that should be taken to improve the accuracy and safety of the experi ment.
l.!.UCLES & MOE 2017
9749f04fOfNf17
CI
CI
Cz
C!O
C>-
c8
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
,...,
E
E
;;
c-
(-
,,:
):
)-
the
;E
IE
IE
IE
IE
IE
IE
IE
IE
IE
iE
IE
IE
IE
IE
IE
IE
i
i
IE
Ie:
lengthbetween
ofholds
thetop
an
is unto
hewntheduration to
•
ant man
siltation
⼼⼼ ⽐
扣
扣
⽐
rod
wd
Me thesup watch
fat ⼼⼼ to
dump is
used
The2blocks to rule the
wd
Stud still
E
E
E
E
E
E
L
m
Stopnotch
nun
E
E
E
E
E
E
E
E
E
E
E
因
is
䈘
些
1感应
balance
E
E
E
E
E
E
i
Diagram
5:
E
E
E
E
E
E
E
E
E
E
21
111111111111111111111111111111111111111111111111111111111111
2:-:
:-
E
E
E
E
E
metreruler
tohemun the
* 8595965621 *
Step
D setupthe apparatus above
2 Useelectronic balance toheuunethehusofshdlhase.nltapes
bucks and ate
nanami
3 keepthe length between
4 Me the
the
of
hwlpwpagpushtheubaulnaheitailliate
2005111intins meanwhile methestopwatch to fr
readthe the of 205111intions
5 repentthestep 4 for 了 tinesfor gettingaverage result
6 Tabulate the result hit h addition of the
hen find Out the fuqueugfrdiftecutua.gg
..........................................................................................................................................................
Ohthe wb
..........................................................................................................................................................
7
tqag
. . .fikid9ihfihlhjtpe.lt
.... ..............
.......................................................
i
CI
CI
* 8595965622 *
I
IIIII
22
IIIII II1I1 I1111 I1111 I11111111I 1111111111111
dis
虬以
as
and
•
Not thegraph
Cz
lf
gain
intercept
..........................................................................................................................................................
⻓ k
is
tqhu
they
..........................................................................................................................................................
Pi
the grad in of the graph
8
keepthe
..........................................................................................................................................................
mul constant andchangethelengthof
between theblock and cane of the nun
metre ruler
9 The length measured
10 Repeat Step 41
n plotthe graph
as
hall
tap
hG
is constant
gnp eiuseygate.to
by
LG
q
again hld
is the gradientthe
the periodof
rsiliutiiou.eu the the topofthe rod
passes though the light
gate
name
the man on the
fix
wbpwpwytpheu thewnfndnpingthctlun.in
V
julien
c2
CI
CI
CI
Cl
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
CI
Cl
CI
CI
CI
CI
CI
CI
C
C
C
C
C
C
C
C
C
C
C
C
C
CI
CI
C
..........................................................................................................................................................
..........................................................................................................................................................
.................................................................................................................................................... [11]
[Total: 11 marks]
l.!.UCLES & MOE 2017
9749/04/0/NI17
C
C
C
C
C
C
C
C
C
C
C
C
C
I" I