Материал: Mekhanika_Ch2

6. Analyse the experimental results and draw the conclusion.

m₀ = 0,5 kg; m(I) = 0,592 kg; m(II) = 0,59 kg; m(III) = 0,575 kg;

m(IV) = 0,592 kg; I₀ = 4,5_˙10^-2 kg_˙m²

15.5 Task 5.4

THE AIM is to determine the angular accelerations and moments of inertia of the pendulum when the load masses at the shafts are changed and the moment of force is constant.

1. Put down the data of measurements in table 15.7.

Table 15.7

№	T,s s	The middle mass of the load , kg	r, m	h, m	R, m	ε0, s-2	I, kg·m2	1/I, kg-1·m-2	Note
1									Measurement with the first set of loads
2
3
4
5
6									…with the second set of loads.
7									…with the third set of loads.
8									…with the fourth set of loads.
9									…with the set of loads.

2. Calculate angular acceleration defined by

.

3. Calculate moments of inertia given by

,

where I₀ is the moment of inertia of the pendulum without loads (I₀ = 4,610^-2 кg/m²); m is the mean mass of four loads at the shafts; R is the distance between the axis of revolution and the centre if gravity loads.

4. Calculate and Δε for five measurements. Calculate the half-width of the confidence interval for r and h using the main errors of measurements. Calculate the half-width of the trust interval for t using five measurements.

5. Results of calculation carry in the table 15.8.

Table 15.8

∑ t_i = ∑Δ t_i²= =

6. Make analysis of the experiment results.

15.6 Task 5.5

THE AIM is to determine the angular accelerations and moments of inertia of the pendulum with changed distance of the loads at the shafts and a moment of force is constant.

1. Measure t and h for five different distances of the loads at the shafts.

2. Put down the data of measurements in table 15.9.

Table 15.9

3. Calculate angular acceleration defined by

.

4. Calculate moment of inertia given by

,

where I₀ is the moment of inertia of the pendulum without loads () kg m²; m is the mean mass of four loads at the shafts; R is the distance between the axis of revolution and centre of gravity loads.

5. Calculate ΔI and for one measurement. Calculate the half-width of the confidence interval for R to use main errors of measurements, and m is the table values; ΔI₀ =

6. Put down the results of calculations in table 15.10.

Table 15.10

∑ t_i = ∑Δ t_i²= =

7. Put I versus R² on the graph.

8. Put I versus ε on the graph.

9. Make analysis of the experimental results.

15.7 Task 5.6

THE AIM is to determine moment of inertia of the pendulum with dynamics and theoretical methods.

NSTRUMENTATION AND APPLIANCES: cross-shaped pendulum, seconds counter, set of loads

1. Put down the data of measurement in table 15.11.

Table 15.11

2. Determine the moment of inertia of the pendulum by with the dynamics method