Question

iven the system of pulleys and springs shown, find: a) Equivalent spring constant for the three vertical springs and the two springs at 202 b)1he tension in cables labeled 1 and 2, c) the amount of stretch in each of the springs shown. k-500N/m BOX IN YOUR ANSWERS k=500N/m 60 20 K2 Series Ke 250m NC 100kg W k 200N/m 100N/m

please solve only part C

Answer 1

250 NM Keg loo 196.2N ge42 9e+ 150 T Tai IN aag W 10o x9-91 981 N At Puley D T= 2T At Puley B, T 2 T Put this value in 250. Ax, . T,= 2x2T 4T 7T- 196-2 N A+ Be ttom, TT 981 T T= 981 Ito 5 T 981 YF Keg. Ax = Go0. AX2 T196.2 N APHY Lami's Sine theorem A Now We PointE F f2 Sin 11o Sin 1oo Siniso 196.2 Sin 1S0 Sin 11o Siniro > 19C-2 x Sinico F = 205. (2 N sin 11o 196,2 x Sin 150 Sin lo 104.39 N Nov, Total ghretch due to f 205.62 Ke1 0.82248 m AX, 250 this is the Bum ef sphing X & X2 Since k ig But game for X, & X2 There fere stteh Bane in beth. 0.41124 m. . Stretch in each of x, & x, 0.8224-8 Stoetch due to f loy. 39 0.17398 m. A,- Key ghinh X3, X4 & x (In quehen Fiaw) wil 8he teh by AX, = o-17398meach game equal to aw ount w