+y (10.2, 20.5) Three 86.3 gram masses are connected in a triangular shape by ma

Question

+y (10.2, 20.5) Three 86.3 gram masses are connected in a triangular shape by massless rigid wires as shown in the first image (which is not drawn to scale). The coordinates of each mass are given in centimeters. Find the x and y coordinates of the center of mass of the triangular object. (21.3, 14.4) Number Number - m - m cm Yes cm + x (0, 0) (5 (0, 44.9) 2 . ro more 86.3 gram masses are connected by a straight piece or wire and affixed to the original configuration as shown. Find the x and y coordinates of the new center of mass of the combined object. Number Number - - - - cm V cm cm 4 (0, -44.9)

Explanation / Answer

here,

m = 86.3 g

when three masses are connected in triangular shape ,

the center of mass , (x,y) = ( (10.2 * m + 21.3 *m + 0 m)/(m + m + m) , (20.5 * m + 14.4 * m + 0 * m)/(m + m + m))

(x,y) = (10.5 cm , 11.6 cm)

when two more masses are added

the new center of mass , (x' ,y') = ( (3 * m * 10.5 + 0 * m + 0 * m)/(3 m + m + m) , (3 * m * 11.6 + 44.9 * m - 44.9 * m)/( 3 m * m * m))

(X' , y') = (6.3 cm , 6.96 cm)

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

---

---

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