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) I a) Two masses m, and m2, ore stached to a light string with tension . T as shown below. Assuming that I remains constant as the masses ove displaced vertically, waite thee equations of motion expressed in matrix form. are . 2 12 m 6) Let me = 2m and am and ing=m, 1 ) determine the normal mode frequencies! and the corresponding mode shapes. o m= -11%) +T(127) H4 2.2.4 ma = -1(27) - T1/2) By Ist yez Yerieste Pawy, substituting in above, divide Foroughout by ] Let mi 요 2017 me ८ rest
ELet f2a2d 1 2 (d) 州 اس 3) Sot yet Yeinst Macoveicot substituting in abreve, divide Boroughout by I (6 coll My = 2m, wyzm and i'ml-2 and rearranging (2-)) [Y2 -) bet = (2-2»)(2-2)-158_3841.520, 439634, 7-2365 (0) 9-19/5, 2:6.54 TL To determine mode shapes, from zod of row Y,+ (2_634)Y=0 +=1.36671,667.Y-12-2369%20-4-36=2346 2 () - }, Yaz 11.com .796 / ml het ) ( 11.000 Yal 2