The three masses show below are connected by massless rigid rods. M=200 g A) Fin

Question

The three masses show below are connected by massless rigid rods. M=200 g

A) Find the coordinates of the center of gravity.

B) Find the moment of inertia that passes through mass A and is perpendicular to the page.

C) Find the moment of inertia about an axis that passes through masses B and C

The three masses show below are connected by massless rigid rods. M=200 g A) Find the coordinates of the center of gravity. B) Find the moment of inertia that passes through mass A and is perpendicular to the page. C) Find the moment of inertia about an axis that passes through masses B and C

Explanation / Answer

M = 200 g, m = 100 g, coordinate of A: (6, (102 - 62)) = (6, 8) cm
a) By symmetry, the coordinates of the center C of mass is on the vertical line through mass A,
so xc = 6 cm,
yc = 200*8/(200 + 100 + 100) = 4 cm
C: (6, 4) cm

b) the moment of inertia about an axis that passes through mass A and is perpendicular to the page
= 100*102 + 100*102 + 200*02 = 2.00*104 g-cm2

(c) the moment of inertia about an axis that passes through masses B and C
= 100*02 + 100*02 + 200*82 = 1.28*104 g-cm2

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