First slide

Stress and strain

Question

Breaking stress of a metal is $10^{8} N / m^{2}$ and its density is 8 gm/c.c. Then what is is the maximum length of a rod made of this material that can be suspended from one end without breaking? $Take g = 10 m / s^{2}$

Moderate

Solution

m= mass of the rod = $s . l . ρ$
$P_{\max =}$ Maximum stress induced in the rod= $\frac{mg}{s} = ρ l g$
$∴ P_{\max} < P_{br} \Rightarrow ρ \lg < P_{br} \Rightarrow l_{\max} = \frac{p_{br}}{pg} = \frac{10^{8}}{8 \times 10^{3} \times 10} m = 1 .25 km$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App