Write result and dicussion for Determination of mass moment of inertia of a wood

Question

Write result and dicussion for Determination of mass moment of inertia of a wooden pendulum for below talbles.

From this practical, our main target was to determine the moment of inertia of a wooden pendulum. Moment Of Inertia is a property of the diffusion of mass that measure mass's resistance to rotational acceleration about one or more axes. The moment of inertia must be the specified with respect to a chosen axis of rotation. For a simple pendulum, the equation for the moment of inertia "I" is in terms of mass and the distance. Because of that we can say that the moment of inertia is depends on both mass and distance. In before classes we learned soon different methods and equations to calculate the time, which take to rotate the pendulum. But in here, we used a modified theory and some modified equations to measure the time. It's, T = 2 pi squareroot L_red/g = 2 pi squareroot J_0/mgr_so L_red = J_o/mr_so Then we measured the time period which take to go 10 rounds to the pendulum. We named it as T. We got three readings for each T. Then we calculated the average time period dividing by 30. After that we had to measure pendulum lengths. So we used below equations to calculate that length. L_red1 = (T_1/2 pi)^2 g L_red2 = (T_2/2 pi)^2 g After that we had to calculate the r_so by using below equation. r_so = x(L_red2 - x)/L_red1 + L_red2 - 2x After measuring that, we calculated |the moment of inertia by using these equations. J_s = mr_so (L_red1 - r_so) J_01 = J_s + mr^2_so J_02 = J_s + m(x - r_so)^2 Period measurement with taking 10 oscillation Sample Calculations mass moment of inertia for position 1 mass moment of inertia for position 2

Explanation / Answer

Result:

The given experiment was conducted to determine the moment of inertia of the given wooden pendulum. Results were obtained for two different locations of the pendulum. In both the positions we observe that the measures and the calculated values are almost the same.

Discussion:

It is clearly observable that the result we obtained are different for either locations. This proves that the moment of inertia not only depends on mass but also on the distance.

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