# From the diagram above, a weight W = 60N is suspended

## Question

From the diagram above, a weight W = 60N is suspended horizontally by a string attached to a wall. Find the tension T on the string.

The answer to the above question for the tension of the string is 40√3.

Data

Weight, W = 60N

Tension, T = ?

Angle, θ = 300

Formula

Since W = Tcosθ

We will apply the formula below to solve the problem

T = W / cosθ

### Solution

We will insert our data into the formula

Tension, T = W / cosθ = 60 / cos300

Since cos300 = √3 / 2

Thus

T = 60 / ( √3 / 2 ) = 60 x (2 x √3) = 120√3

And 120√3 = 69.828 = 40√3

Therefore

T = 40√3

Thus, the tension of the string is 40√3.

Hence, the solution to the question “From the diagram above, a weight W = 60N is suspended horizontally by a string attached to a wall. Find the tension T on the string” is 40√3.

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Sources

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