The three masses shown in the figure below are connected by massless, rigid rods

Question

The three masses shown in the figure below are connected by massless, rigid rods, with m = 183 g.

(a) Find the coordinates of the center of mass.

(b) Find the moment of inertia about an axis that passes through mass A and is perpendicular to the page.

(c) Find the moment of inertia about an axis that passes through masses B and C.

The three masses shown in the figure below are connected by massless, rigid rods, with m = 183 g. (a) Find the coordinates of the center of mass. (b) Find the moment of inertia about an axis that passes through mass A and is perpendicular to the page. (c) Find the moment of inertia about an axis that passes through masses B and C.

Explanation / Answer

m = 183 g, m' = 100 g, coordinate of A: (6, ?(102 - 62)) = (6, 8) cm
a) By symmetry, the coordinates of the center C of mass is on the vertical line through mass A,

so xc = 6 cm,

yc = 183*8/(183 + 100 + 100) = 3.82 cm

C: (0.06, 0.0382) m

b) the moment of inertia about an axis that passes through mass A and is perpendicular to the page

= 0.100*0.062 + 0.100*0.062 + 0.183*02 = 7.20*10-4 kgm2

(c) the moment of inertia about an axis that passes through masses B and C

= 0.100*02 + 0.100*02 + 0.183*0.082 = 1.17*10-3 kgm2

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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