Question

7. A pendulum bob swings through an arc 40 inches long on its first swing. Each swing thereafter, it swings only 60% as far as on the previous swing. a) write a sequence showing the pattern b) How far does it swing on the 11th swing 1 + (A) obutedo oznaval c) How far will it swing altogether before coming to a complete stop? (...) to bring to a miglior stan bazu od 2 dan

Answer 1

40 inches the length of the anc in the frst Swing Lingh ofthe anc im othe Second a) Swing 60% of 40 3 46x60 100 40 x 40 x 3 x 3 5 5 Swing m the 3rd hangth 46 40 3 4-1 Similarly l4 Continuing this pattem the length Swing 4 is Sin a for the n th dn=403) Suing n- Phe bob langth of on he ith the arc - 40 =5x8x 316 X 59 O.2418 o.25 inchy CC) the total dustanc (dangh) Swing bafore toest Siven by he Sum to Comming yt fo A Sequena 403) In fini ba =a T=s a=40 Yhe Sum to m finity S 40 40 -7 =46×2ニ100 2 a total of yhe bob will 100 inches bl0T Suing Comming to est