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A cylinder weighing 1000N & 1.5 m diameter is supported by a beam AB of length 6 m and weight 400 N as shown in fig. Neglecting friction at contact surfaces, determine

1) Wall reaction at D.

2) Tension in cable BC.

3) Hinged reaction at support

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1 Answer
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Applying Lami's theorem on cylinder.

RD/(sin135)=RP/(sin90)=1000/sin135

Solving equations we get,

RD=1000N & RP=1414.21N

Now considering beam AB

Applying conditions of equilibrium

$\sum F_x = R_P \cos 45 - T_B \sin 45 - H_A=0 -- …

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