A horizontal board of length 6.1 m and mass 12.8 kg rests on two supports. The first support is at one end of the board. The second support is at a distance of 2.38 m from the other end of the board. What force does this second support exert on the board

Respuesta :

Answer:102.84 N

Explanation:

Given

Mass of board [tex]m=12.8\ kg[/tex]

Length of board [tex]l=6.1\ m[/tex]

First support is at one end and second support is at a distance of 2.38 m from the other end

Suppose [tex]R_1[/tex] and [tex]R_2[/tex] are the reactions at the two support

Taking moment about the first end we can write

[tex]mg\times \dfrac{6.1}{2}-R_2(6.1-2.38)=0[/tex]

[tex]R_2=\dfrac{12.8\times 9.8 \times 3.05}{3.72}[/tex]

[tex]R_2=102.84\ N[/tex]    

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