Question

Question 9 119 pts The system below consists of two cylindrical collars connected by a flexible cord. The colors slide along the stationary rods but do not rotate about the rods. Assume the cord always remains taught and the collars are identical. Find the linear momentum of the system along with the angular momentum of the system about point N. Define any quantities you need to solve this problem. N pload Choose a File

Answer 1

SOLUTION y L B V A M g Rod M= Mass of collar A= Mass Because Identical Collars, collar B * L = length of the cord (taught cond) Angle beroven the cold (at collar B) and the staronary Rod Angle behween the cord fat collave A) and the stallonary Mars of lass of & velouty of collare A in (+ve) x duruction along Velocity of collar B is taken to be v along the staron ahonary Rod. will be the Velouty of collar A stationary and towards N. Rod and away from a and & au the angles for the geven WILOV Instant, NO (400) k

Instantaneous centre Rora hong Locaning off b @ +0) 0+) a J604) X VA WER VA (90-0) (Opp) Appuying sine law L a Sun (Orf) Sim (90-9 ь sm (90-0 [h= au Llosa Sun (819) L coso Smlott 2u1879) v= axw kord & Woord = V v smlot a Laos Thus, VA = = bx Woord- to lose xvsmlo+0 V cose cosø To sub+0) ruoso linear momention of system Thus finding ty VACOS (oro) 7076) AVA VA Smerot (Msysicom PA & PB = M (NACOS (014 Vasomo 18) )]+ mult

linear Momenhum ܟܢ Cosa web - Mobile Cong) vyje kitang na loop) con las can(014) * cong) * - (00 am (out); ] 1 fon ()4 on (at)] assøy cos($+ 8) = < ( cas (20+ p) + cos [. col20+6) + 31 coses) i - (coso sen Cot This can be converted to Magurude boy 11FM-ve comportat? * 1 y. component ? & Co+))] ها P - м49 caso Momentum Now, for Angular N towards VA is duructed N VE is dructed towards hena will & les MA pass through N. Momentum about N will be zero Thus angular