Question

two forces act at angle of 120°,the bigger force 40N and the resultant is perpendicular to the smaller one, find the smaller force?

Answer 1

Answer:there is a big calculation to be done using teignometry but the final answer comes out to be 20N

Explanation:

Answer 2

The smaller force is 20 N.

Given,

Two forces act at an angle of 120°, the bigger force 40N, and the resultant is perpendicular to the smaller one.

To Find,

The smaller force.

Solution,

Let us assume that the smaller force is x.

Now, we will resolve the 40 N force in the x and y component with an angle of 30° with the vertical, which will be the resultant force of 40 and x.

So, the horizontal component will be equal to x.

Now,

40 sin30 = x

x = 40/2

x = 20 N.

Hence, the smaller force is 20 N.

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