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The masses and coordinates of four particles are as follows:25 g , x = 2.0 cm ,

ID: 1726297 • Letter: T

Question

The masses and coordinates of four particles are as follows:25 g, x = 2.0 cm, y = 1.0 cm; 25g, x = 0.0 cm, y = 4.0 cm; 45g, x = -3.0 cm, y = -3.0 cm, 35g, x = -3.0 cm, y = 4.0 cm. What is therotational inertia of this collection with aspect to the x-axis (kg m2)?
What is the rotational inertia of this collectionwith aspect to the y-axis? What is the rotational inertia of this collectionwith aspect to the z-axis?
The masses and coordinates of four particles are as follows:25 g, x = 2.0 cm, y = 1.0 cm; 25g, x = 0.0 cm, y = 4.0 cm; 45g, x = -3.0 cm, y = -3.0 cm, 35g, x = -3.0 cm, y = 4.0 cm. What is therotational inertia of this collection with aspect to the x-axis (kg m2)?
What is the rotational inertia of this collectionwith aspect to the y-axis? What is the rotational inertia of this collectionwith aspect to the z-axis?

Explanation / Answer

The masses and coordinates of four particles are as follows:25 g, x = 2.0 cm, y = 1.0 cm; 25g, x = 0.0 cm, y = 4.0 cm; 45g, x = -3.0 cm, y = -3.0 cm, 35g, x = -3.0 cm, y = 4.0 cm. What is therotational inertia of this collection with aspect to the x-axis (kg m2)?

IX=0.025*0.02*0.02+0.025*0.04*0.04+0.045*0.03*0.03+0.035*0.04*0.04
     =0.0056830kgm2 What is the rotational inertia of this collectionwith aspect to the y-axis?
IY=0.025*0.01*0.01+0+0.045*0.03*0.03+0.035*0.03*0.03
     =0.0000745kgm2
What is the rotational inertia of this collectionwith aspect to the z-axis?
IZ=IX+IY=0.0056830kgm2+
0.0000745kgm2=0.005728kgm2