A) Calculate the moment of inertia of the array of point objects shown in the fi

Question

A) Calculate the moment of inertia of the array of point objects shown in the figure (Figure 1)about the vertical axis. Assume m = 2.3kg , M = 3.0kg , and the objects are wired together by very light, rigid pieces of wire. The array is rectangular and is split through the middle by the horizontal axis.

Iy =_____________ kg*m2

B) Calculate the moment of inertia of the array of point objects shown in the figure about the horizontal axis. Assume m = 2.3kg , M = 3.0kg , and the objects are wired together by very light, rigid pieces of wire. The array is rectangular and is split through the middle by the horizontal axis.

Ix = ______________kg*m2

A) Calculate the moment of inertia of the array of point objects shown in the figure (Figure 1)about the vertical axis. Assume m = 2.3kg , M = 3.0kg , and the objects are wired together by very light, rigid pieces of wire. The array is rectangular and is split through the middle by the horizontal axis. Iy =_____________ kg*m2 B) Calculate the moment of inertia of the array of point objects shown in the figure about the horizontal axis. Assume m = 2.3kg , M = 3.0kg , and the objects are wired together by very light, rigid pieces of wire. The array is rectangular and is split through the middle by the horizontal axis. Ix = ______________kg*m2

Explanation / Answer

A)

Here , about the vertical axis ,

moment of inertia , Iy = (2.3 + 3)*0.50^2 + (2.3 + 3)*1^2

Iy = 6.625 Kg.m^2

the moment of inertia about the vertical axis is 6.625 Kg.m^2

B)

Now , about the horizonatal axis

Ix = 2*2.3 * 0.25^2 + 2*3*0.25^2

Ix = 0.6625 Kg.m^2

moment of inertia about the x - axis is 0.6625 Kg.m^2

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