First slide

Stress and strain

Question

A steel cable with a radius 2 cm supports a chairlift at a ski area. If the maximum stress is not to exceed $10^{8} N m^{- 2}$ , the maximum load the cable can support is

Moderate

A

$4 π \times 10^{5} N$
B

$4 π \times 10^{4} N$
C

$2 π \times 10^{5} N$
D

$2 π \times 10^{4} N$

Solution

Here, r = 2 cm = 2 $\times 10^{- 2} m$
Maximum load = Maximum stress $\times$ Area of cross section
= $10^{8} N m^{- 2} \times π \times {(2 \times 10^{- 2} m)}^{2}$
= $4 π \times 10^{4} N$

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