Question

in concurrent force system sum of fx is "double" that of sum of fy the angle made by resultant with X axis is
a 26.56
b.63.43
c.45
d. 60​

Answer 1

Answer:

26.56

Explanation:

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Answer 2

The resultant makes an angle of 26.56° with the x-axis (option a).

Given,

A concurrent force system,

where 2fx = fy

To find,

The angle that is made by the resultant with the x-axis, θ.

Solution,

We can solve this problem easily by representing the ratio of fx and fy in terms of the slope of the graph.

It is given,

2fx = fy

⇒ fx = 1/2 fy

⇒ fx/fy = 1/2

since we know,

fx/fy = the slope of the graph, also

tanθ = the slope of the graph

∴ tanθ = fx/fy

⇒ tanθ = 1/2

⇒ θ = $tan^{-1}$(1/2)

⇒ θ = 26.56°

Hence, we can conclude the resultant makes an angle of 26.56° with the x-axis (option a).