The four masses shown in the figure are connected by massless,rigid rods. A) Fin

Question

The four masses shown in the figure are connected by massless,rigid rods.

A) Find the coordinates of the center of gravity in meters x,y.

B) Find the motion of inertia about an axis that passes through mass A and is perpendicular to the page

C) Find the momemnt of inertia about a diagonal axis that passes through mass B and D

***Please show work and equations used.

The four masses shown in the figure are connected by massless,rigid rods. Find the coordinates of the center of gravity in meters x,y. Find the motion of inertia about an axis that passes through mass A and is perpendicular to the page Find the momemnt of inertia about a diagonal axis that passes through mass B and D

Explanation / Answer

X= (0.2* 10 + 0.2 * 10 )/( 0.2+0.2 +0.1+0.2) = 5.714cm

Y= (0.2*10 +0.2*10)/(0.7) = 5.714cm

Moment of inertia = summation of mr^2 = 0.2*0.1^2 + 0.2^0.1^2 + 0.2 * (0.141)^2 = 7.97 *10^-3 Kgm^2

moment of inertia about the diagonal axis = 0.1 * 0.07^2 + 0.2 * 0.07^2 = 1.47 *10^-3 Kgm^2

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