Figure 5-66 a shows a mobile hanging from a ceiling; itconsists of two metal pie

Question

Figure 5-66a shows a mobile hanging from a ceiling; itconsists of two metal pieces (m1 = 2.6 kg andm2 = 5.7 kg) strung together by cords ofnegligible mass. What is the tension in (a) thebottom cord and (b) the top cord?
Figure 5-66b shows a mobile consisting of three metalpieces. Two of the masses are m3 = 3.1 kg andm5 = 6.2 kg. The tension in the top cord is 230N. What is the tension in (c) the lowest cord and(d) the middle cord?

Explanation / Answer

(a) Tension in the bottom cord T2 = m2g = 5.7 * 9.8 = 55.86N (b) T1 - T2 = m1g ==> T1 = m1g + T2 = 2.6 *9.8 + 55.86 = 81.34 N (c) T5 = m5g = 6.2 * 9.8 = 60.76 N (d) T3 - T4 = m3g = => T4 = T3 - m3g = 230 - 3.1 * 9.8 =199.62 N

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