Question

A 400-kg box is lifted vertically upward with constant velocity by means of two cables pulling at 40.0° on either side of the vertical direction. What is the tension in each cable?

Answer 1

Answer:

Tension, T = 2558.59 N

Explanation:

It is given that,

Mass of the box, m = 400 kg

The box is lifted vertically upward with constant velocity by means of two cables pulling at 40 degrees on either side of the vertical direction. Since, the cables are symmetrical. So, tension will be same on each cable.

$2T\ cos\theta=mg$

$T=\dfrac{mg}{2cos\theta}$

$T=\dfrac{400\times 9.8}{2\times cos(40)}$

T = 2558.59 N

So, the tension in each cable is 2558.59 N. Hence, this is the required solution.