A statistician has designed a random number generator that requires three dice t

Question

A statistician has designed a random number generator that requires three dice to be thrown onto a tray with a measurement grid. To add an extra degree of randomness, the coordinates of the center of mass of the three dice are used as well. The mases of the three dice are 10.99, 13.1 g, and 18.3g. and their respective coordinates after one particular throw are (0,293 m, -0.325 m), (-0.109m, 0.265 m), and (-0.213 m, -0.279 m). What are the resulting coordinates of the center of mass of the dice, xcm and ycm?

Explanation / Answer

X coordinates of Centre of Mas is Xcm = m1x1 + m2x2...../(m1+m2..)

so

Xcm = (0.0109 * 0.293 ) - (0.0131* 0.109)-(0.0183 * 0.213)/(0.019 + 0.0131 + 0.0183)

Xcm = -0.075 m

Ycm = - (0.0109 * 0.325) + (0.0131* 0.265) - (0.0183 * 0.279)/(0.019 + 0.0131 + 0.0183)

Ycm = -1.01 m

Xc,Ycm = -0.075 , 1.01

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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