Mechanical Properties of Solids Test

Result

Mechanical Properties of Solids Test - 6

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Question 1
1 / -0

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 10⁸ N m⁻² , what is the maximum load the cable can support?

A
6.97×10⁴N

B
6.87×10⁴ N

C
7.07×10⁴ N

D
7.17×10⁴N

Solution

Radius of the steel cable, r = 1.5 cm = 0.015 m
Maximum allowable stress = 10⁸ N m^-2
Maximum stress = Maximum force / Area of cross-section
∴ Maximum force = Maximum stress × Area of cross-section
= 10⁸ × π (0.015)²
= 7.065 × 10⁴ N
Hence, the cable can support the maximum load of 7.065 × 10⁴N.