4.3 Verify the Principle of Moments by Using a Meter Rod Balanced on Wedge
Observations and Calculations
Position O of center of gravity of meter rule=50cm
No | Suspended Weights |
Position | Distance from center of gravity (moment arm) |
||||||
w1 N |
w2 N |
w3 N |
A cm |
B cm |
C cm |
OA cm |
OB cm |
OC cm |
|
1 | 0.7 | 0.2 | 0.2 | 70 | 20 | 10 | 20 | 30 | 40 |
2 | 0.7 | 0.2 | 0.2 | 70 | 20 | 10 | 20 | 30 | 40 |
3 | 0.7 | 0.2 | 0.2 | 70 | 20 | 10 | 20 | 30 | 40 |
No | Clockwise moment |
Total anticlockwise moment |
Difference of moments |
τ1=w1xOA Ncm |
τ2= w2xOB+w3xOC Ncm |
τ2-τ1 Ncm |
|
1 | 14 | 14 | 0 |
2 | 14 | 14 | 0 |
3 | 14 | 14 | 0 |
Result
Difference of moments is equal to zero.
4.4 Find the Unknown Weight of an Object by Using Principle of Moments
Observations and Calculations
Position O of center of gravity of meter rule=50cm
Value of known weight=5N
No | Position | Distance of unknown weight w1 from O |
Distance of unknown weight w2 from O |
Unknown weight of object |
|
w1 A cm |
w2 B cm |
a cm |
b cm |
w1=w2 x (b/a) N |
|
1 | 30 | 80 | 20 | 30 | 7.5 |
2 | 30 | 80 | 20 | 30 | 7.5 |
3 | 30 | 80 | 20 | 30 | 7.5 |
Result
Average value of weight w1= 7.5N
Measured weight of object w = 7N
Difference = w1-w = 0.5N
4.5 Find the Tension in Strings by Balancing a Meter Rod on the Stand
Observations and Calculations
Position O of center of gravity=50cm
Weight of the meter rod w = 10N
No | Position | Distance of S1 from B |
Distance of w from B |
|
A cm |
B cm |
a=AB cm |
b=OB cm |
|
1 | 10 | 20 | 200 | 10 |
2 | 8 | 55 | 176 | 10 |
3 | 12 | 18 | 176 | 10 |
No | Calculated tension |
Readings of spring balances |
Difference | |||
T1=w(b/a) N |
T2=w[(a-b)/a] N |
S1 N |
S2 N |
T1-S2 | T2-S2 | |
1 | 0.5 | 9.5 | 20 | 40 | -19.5 | 9 |
2 | 0.56 | 9.4 | 22 | 42 | -21.44 | 8.84 |
3 | 0.56 | 9.4 | 18 | 44 | -17.44 | 8.84 |
Result
Difference is approximately 9.