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A beam AB of length  and weight w supports a load W at its free and B and is hinged at its end A. A wire CD supports the beam at the mid point C making an angle of 300 with the horizontal. What is the value of tension T in the wire CD?

(a) $8\left ( W+\frac{w}{2} \right )$

(b) $4\left ( 2W+w \right )$

(c) $2\left ( 2W+\frac{w}{2} \right )$

(d) (c) $4\left ( W+\frac{w}{2} \right )$

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