The masses and coordinates of four particles are as follows: 25 g , x = 2.0 cm ,
ID: 2294443 • Letter: T
Question
The masses and coordinates of four particles are as follows: 25 g, x = 2.0 cm, y = 2.0 cm; 40 g, x = 0.0 cm, y = 4.0 cm; 40 g, x = -3.0 cm, y = -3.0 cm, 25 g, x = -3.0cm, y = 3.0 cm. What is the rotational inertia of this collection with aspect to the x-axis ( kg m2)?What is the rotational inertia of this collection with aspect to the y-axis?
What is the rotational inertia of this collection with aspect to the z-axis?
What is the rotational inertia of this collection with aspect to the y-axis?
What is the rotational inertia of this collection with aspect to the z-axis?
Explanation / Answer
with respect to X axis
momento f inertia of a mass = mr^2
r = distnace from the axis
MIx= .025*.02^2 + 40*.04^2 + 40*.03^2 + 25*.03^2 = 1.325 x 10^-4 kg.m^2
with respect to Y axis
MIy = .025*.02^2 + .04*0^2 + .04*.03^2 + .025*.03^2 = 6.85 x 10^-5 kg.m^2
with respect to z axis
r1 = sqrt(2^2 + 2^2) = sqrt(8) cm
r2 = 4 cm
r3 = sqrt(18) cm
r4 = sqrt(18) cm
MIz = .025*.0008 + .04*.0016 + .04*.0018 + .025*.0018 = 2.01 x 10^-4 kg.m^2
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.