Experiment No. 2
Object
To determine the moment of Inertia of an inregular rigid body about an axis passing through its centre of gravity & perpendicular to its plane by dynamical method ( Inertia table ).
Apparatus Required
Inertia table inregular body whose moment of
inertia is to be determine , regular body whose moment of inertia can be
calculated by majoring its dimenations & mass , stopwatch , sprit level
physical balance with wait box & vernier calipers .
Formula Used
The moment of inertia I1 ( आई वन ) of the inregular body is determine with the help of following formula –
- Where I2 ( I tow ) is moment of Inertia of the regular body
- To is time period of inertia table .
- T1 ( T one ) is time period with the inregular body on the
inertia table .
If the regular body is disc then –
Where
M is mass of the disc & R is radius of the disc.
Observation table -
For
without mass –
|
S. No. |
No. of
oscillation |
Time t (sec) |
Total time
period |
Mean ( sec )
( To ) |
|
1. |
10 |
123 |
12.3 |
62.3/5 |
|
2. |
15 |
182 |
12.1 |
|
|
3. |
20 |
262 |
13.1 |
= 12.46 |
|
4. |
25 |
313 |
12.5 |
|
|
5. |
30 |
310 |
12.3 |
|
|
|
|
|
|
|
2. For regular body mass = 560,
radius = 4.375 cm
|
S .No . |
No . of
oscillation |
Time t (sec) |
Time period |
Mean ( sec )
(T1) |
|
1. |
10 |
109 |
10.9 |
57.5/5 |
|
2. |
15 |
111 |
11.4 |
|
|
3. |
20 |
232 |
11.6 |
= 11.5 |
|
4. |
25 |
294 |
11.7 |
|
|
5. |
30 |
357 |
11.9 |
|
Calculation the moment of inertia of inregular rigid body
-
3 . For Inregular body -
|
S .No. |
No. of
oscillation |
Time (t) sec |
Time period |
Mean (sec)
T2 |
|
1. |
10 |
123 |
12.3 |
61.3/5 |
|
2. |
15 |
184 |
12.2 |
|
|
3. |
20 |
246 |
12.3 |
= 12 .26 |
|
4. |
25 |
308 |
12.3 |
|
|
5. |
30 |
368 |
12.2 |
|
Result –
Moment of inertia of inregular body
is 0.2490 kg/miter equare
Source of error & Precautions
1.
The inertia table should set horigental.
2.
The table should be rotted by a few degree only.
3.
Periodic time should be noted very carefully.
4.
There should not be any rink in the wire .
5.
There should not be any up & down as well as joo &
fro motion of the table.
Note.
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