Chapter 5, Problem 5.1PP

The instrument package shown in Fig. 5.18 weighs $258$ N. Calculate the tension in the cable if the package is completely submerged in seawater having a specific weight of $10.05kN/m^3$.

To determine

To calculate:

The tension in the cable if the packet is completely submerged.

Answer to Problem 5.1PP

The tension in the cable is calculated as $556\text{N}$.

Explanation of Solution

Given:

Package weight, $w=\text{258}\text{N}$

Specific weight of seawater, ${\gamma }_f=10.05\text{kN}/m^3$

   ${\displaystyle \sum F_v}=0=w+T-F_b$

   $F_b={\gamma }_{f}V=\left(10.05\text{kN}/m^3\right)\left(0.45\times 0.60\times 0.30m^3\right)$

   $F_b=0.814\text{kN}=814\text{N}$

Package weight, $w=\text{258}\text{N}$ (given)

   $T=F_b-w=814-258=556\text{N}$