ree 91.8 gram masses are connected in a triangular shape (13.2,16.5) massless ri

Question

ree 91.8 gram masses are connected in a triangular shape (13.2,16.5) 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. 2 (16.3, 11.4) Number Number cm cm +x (0, 0) 5) (0, 43.7) Two more 91.8 gram masses are connected by a straight piece of 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 cm em 4 (0,-43.7)

Explanation / Answer

WE know that

xcm= (m1x1+m2x2+m3x3)/(m1+m2+m3)

similarly

ycm= (m1y1+m2y2+m3y3)/(m1+m2+m3)

Now plugging in the values,

xcm= (91.8*13.2+91.8*16.3)/(3*91.8)

xcm= 9.8333 cm

and

ycm= (91.8*11.4+91.8*16.5)/(3*91.8)

ycm=9.3cm

Now, for the new configuration,

xcm= (91.8*13.2+91.8*16.3)/(5*91.8)

=5.9cm

ycm= (91.8*11.4+91.8*16.5)/(5*91.8)

=5.58cm

Related Questions

Navigate

• Browse (All)
• Browse R
• Subjects

---

---

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