The masses and coordinates of four particles are as follows: 35 g, x = 2.0 cm, y
ID: 1450540 • Letter: T
Question
The masses and coordinates of four particles are as follows: 35 g, x = 2.0 cm, y = 2.0 cm; 45 g, x = 0.0 cm, y = 4.0 cm; 25 g, x = -3.0 cm, y = -3.0 cm, 40 g, x = -3.0 cm, y = 4.0 cm.
What is the rotational inertia of this collection with aspect to the x-axis ( kg m2)? 7.25E-5kg*m^2 Incorrect.
What is the rotational inertia of this collection with aspect to the y-axis? 1.725*10^4kg*m^2 Incorrect.
What is the rotational inertia of this collection with aspect to the z-axis? 5.85E-3 kg*m^2 Incorrect.
Explanation / Answer
m1 = 35 g = 0.035 kg . ( x1 , y1 ) = (2 , 2) cm
m2 = 45 g = 0.045 kg ( x2 , y2 ) = ( 0 , 4 ) cm
m3 = 25 g = 0.025 kg ( x3 , y3 ) = (-3 , -3 ) cm
m4 = 40 g = 0.040 kg (x4 , y4 ) = (-3 , 4 ) cm
Moment of inertia about X axis .
IX = 10-7 *( 35*22 + 45*42 + 25*32 + 40*42 ) = 1.725*10-4 kg*m2
Moment of inertia about Y axis
IY = 10-7 *( 35*22 + 45*02 + 25*32 + 40*32 ) = 0.725*10-4 kg*m2
Moment of inertia about Z axis
IZ = 10-7 *{ 35*(22 + 22) + 45*(02 + 42) + 25*(32 + 32) + 40*(32 + 42 ) = 2.45*10-4 kg*m2
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