Question

Each spring has an unstretched length of 2 m and a stiffness of k = 300 N/m (Figure 1) Part A Determine the stretch in OA spring required to hold the 16-kg crate in the equilibrium position shown. Express your answer to two significant figures and include the appropriate units. 30A = Value Units Submit Request Answer Part B Determine the stretch in OB spring required to hold the 16-kg crate in the equilibrium position shown. Express your answer to two significant figures and include the appropriate units. .: HÁ O 2 ? SoR = Value Units Figure 1 of 1 > Submit Request Answer Provide Feedback

Answer 1

Criven mars (m)= 16 kg. Spring Stifuess (k)=300 o/m. force vectors. Foca Foc od - loci = Foc bit 4+ 12k 0 6²+42 +22 = 2 2 2 Focê + ? Focht te Fock For = -FA } For = -Fos F=-mgê F=_16*9.81 - F= 156.96 EFFO. Foct Foat Fost F=0. 2 Focê + 2 Focht be fooR = Ford - Fos1 -156.96icia equating - with i,jik Coefficients

ith term - } Foc-FODEO 3 Foc-Foa=0. 6 Foc-156,96=0. o. Foc = 183,12 N Subtitute Foc in ean 0. Foo= 2 For 27 (183.12) FOB = 78.48 N. how for For For = 2 Foc Foa= ² (183.12) FOA = 52.32 N. Lokt Spring force formula, sat 300 SOB= For ) 78.68 23 012616 m Sop= FoR = 52132 -) 0.1744 m Answers Parta Son = 0.1744 m Parto Sole 0. 2616.m.