Question 3.25: Two weights C = 2000 N and D = 1000 N are located on a horiz...

Two weights C = 2000 N and D = 1000 N are located on a horizontal beam AB as shown in Fig. 3.36. Find the distance of weight C from support A, i.e., x so that the support reaction at A is twice that at B.

(UPTU-2001–01 IInd Sem.)

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First, draw the F.B.D. of the beam AB as shown below in Fig. 3.36 (a)

Given that,  R_{A}=2 . R_{B}

\sum Y=0, \qquad R_{A}+R_{B}=2000+1000

2 R_{B}+R_{B}=3000

R_{B}=1000 N

R_{B}=2000 N

\sum M_{A}=0, \quad R_{B} \times 4=2000 \times x+1000(x+1)

1000 \times 4=2000 x+1000 x+1000

x = 1  m

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