Ncert Exercises & Solutions

Question 9.9:
A steel cable with a radius of 1.5 cm supports a chairlift at a ski area. If the maximum stress is not to exceed $10^{8} {Nm}^{- 2},$ what is the maximum load the cable can support?

We know:

Maximum strees= $\frac{Maximum force}{Area of cross - section}$

Maximum force = Maximum stress $\times$ Area of cross-section

$= 10^{8} \times π {(0.015)}^{2} = 7.065 \times 10^{4} N$

Hence, the cable can support the maximum load of 7.065 $\times$ $10^{4} N$

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