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10/01/2022 12:19 pm
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Wires W1 and W2 are made of same material having the breaking stress of 1.25 × 109 N/m2. W1 and W2 have cross-sectional area of 8 × 10-7 m2 and 4 × 10-7 m2, respectively. Masses of 20 kg and 10 kg hang from them as shown in the figure. The maximum mass that can be placed in the pan without breaking the wires is ____ kg. (Use g = 10 m/s2)
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10/01/2022 12:28 pm
B.S1 = \(\frac{T_{1max}}{8 \times 10^{-7}}\)
⇒ T1max = 8 x 1.25 x 100
= 1000 N
B.S2 = \(\frac{T_{2max}}{4 \times 10^{-7}}\)
⇒ T2max = 8 x 1.25 x 100
= 500 N
m = \(\frac{500-100}{10}\) = 40 kg