Question

Mass and coordinates of three particles are given: Mass, M1 = 3 kg, Coordinates: X = 1, Y = 1 Mass, M2 = 2 kg, Coordinates: X = -1, Y = -1 Mass, M3 = 1 kg, Coordinates: X = 0, Y = 1 (a) Find the Moment of Inertia of the three particles about the X-axis (axis of rotation) (b) Find the Center of Mass of the three objects

Answer #1

to calculate part a:

where:

li=moment of inertia

xi=around the x axis

mI=mass of each of the particles

lx=5kg

to calculate part b :

for the calculation of the center of mass of the three objects

A 3
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b) Find the vertical center of mass coordinate,
ycm=_____m
c) Find lz=_____ kg-m2

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b. (0.04 m, -0.261 m)
c. (- 0.04 m, -0.261 m)
d. (- 0.04 m, 0.261 m)

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c) What are the main axes?( this part is also important
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m2 (kg)
m3 (kg)
m4 (kg)
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kg · m2
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1
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