A rotating system is composed of a long rod with a length of 3.4·m (L1) and a ma

Question

A rotating system is composed of a long rod with a length of 3.4·m (L1) and a mass of 2.4·kg . Attached to each end is a solid disk and smaller rod perpendicular to the first. The solid disk has a mass of 0.5·kg and radius of 0.25·m. The smaller rod has a length of 0.4·m (L2) and mass of 2.3·kg .

(a) What is moment of inertia of the long bar?

(b) What is the rotational of inertia of the rotating disk?

(c) What is the rotational of inertial of the smaller bar?

(d) What is the rotational inertial of the system?

Explanation / Answer

(A) I1 = m1 L1^2 / 12

I1 = 2.4 x 3.4^2 / 12

I1 = 2.312 kg m^2

(B) I = (0.5 R^2 / 2) + (0.5 (R + L1/2)^2)

I = (0.5 x 0.25^2 / 2) + (0.5 (0.25 + (3.4/2))^2)

I2 = 1.917 kg m^2

(C) I3 = (2.3 x 0.4^2 / 12) + (2.3 x (3.4/2)^2)

I3 = 6.678 kg m^2

(D) I = I1 + I2 + I3 = 10.9 kg m^2

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.