Consider some particles in the plane with position vectors rj, ?2,..., rn and masses m j, m2.......mn.The position vector of the center of mass of this system is1 = T7^wlrl + m2'*2 + -----\~mnrn), Mwhere M = m\ + m2 H-----+ mn. Consider the triangular plate shown in the accompanying sketch. How must a total mass of 1 kg be distributed among the three vertices of the plate so that r 2l the plate can be supported at the point ^ ; that is,r cm ? Assume that the mass of the plate itselfis negligible.

Kaite Kirk COMS/HNRS 101 Informative Speech When deciding what topic to inform the class about, I examined all of my hobbies and passions, then narrowed it down even further by ﬁguring out which topics from my list would be interesting to the class. Since my trip to Italy over the summer was so inspiring and transformational, I hoped that this passion would translate into my speech. Cal Poly has been making concentrated efforts to make it possible for increasingly more students to study abroad, and many students in the class revealed a love for traveling and adventure during their introductions, so I decided to include in my speech how my experiences over the summer can help them to make the most of their travels. My c