(a) Find the coordinates of the center of mass if M A = 150 g and M B = M C = M

Question

(a) Find the coordinates of the center of mass if MA = 150 g and MB = MC = MD = 190 g.
x = __ m
y = __ m

(b) Find the moment of inertia about an axis that passes through mass A and is perpendicular to the page.
__ kg m2

(c) Find the moment of inertia about a diagonal axis that passes through masses B and D.
__ kg?m2

(a) Find the coordinates of the center of mass if MA = 150 g and MB = MC = MD = 190 g. x = __ m y = __ m (b) Find the moment of inertia about an axis that passes through mass A and is perpendicular to the page. __ kg.m^2 (c) Find the moment of inertia about a diagonal axis that passes through masses B and D. __ kg.m^2

Explanation / Answer

(a)
? = [2*190*10]/(3*190 + 150) = 5.28 cm = 0.0528 m
? = [2*190*10]/(3*190 + 150) = 5.28 cm = 0.0528 m

b)
I = ?m*r^2 = 2 * 0.190 * 0.1^2 + 0.190 * (0.1 * 1.414)^2
I = 0.0076 kg?m^2

c)
I = ?mr^2 = 0.190 * (0.1 / 1.414)^2 + 0.150 * (0.1 / 1.414)^2
I = 0.0017 kg?m^2

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