Question

Calculate the tension in the cable at a distance $x$ from the diver

• A. $(40+0.1x)g$
• B. $(40+0.786x)g$
• C. $(120+1.1x)g$
• D. $(120-1.1x)g$

Answer 1

Answer: (B)

$(40+0.786x)g$

In this problem, we can balance forces on the system comprising of diver and his suit and the cable of length $x$. Forces acting on the system are:

1. Force of gravity downwards.

2. Tension due to cable upwards.

3. Bouyant force upwards.

Hence,

$T\left(x\right)=120g+\left(1.1x\right)g-\left(0.08\right)\left(1000\right)g-\left(\pi \right(0.0001\left)x\right)\left(1000\right)g=(40+0.786x)g$