Force exerted on the pin - mechanics, Mechanical Engineering

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Force exerted on the pin - Mechanics:

Determine x and y components of force exerted on the pin at A as shown in the figure given below.

As there is a single string, so the tension in string throughout same, Let 'T' is tension in the string.

 

1999_Force exerted on the pin - Mechanics.png

At C, there will be an equal and opposite reaction, so

T = 2000N                                                                                                                            ...(i)

Now     tan  θ = 200/300 => θ = 33.69°

Horizontal component of T can be given as;

∑H = Tcos θ = 2000cos33.69°

= 1664.3N                                .......ANS

Vertical component of T can be given as;

∑V = Tsin θ = 2000sin33.69° = 1109.5N             

 


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