1.

A truss with two bars PR and QR, making angles α and β, respectively, with the vertical, is shown in the figure below. The connections at P, Q and R are hinged connections. The truss supports a body of weight W (in N) at R as shown. The tension in the bar QR (in N) is

A. \(\dfrac{W \rm sin{\beta}}{\rm cos{\left( \alpha+\beta\right)}}\)
B. \(\dfrac{W \rm cos{\beta}}{\rm sin{\left( \alpha+\beta\right)}}\)
C. \(\dfrac{W \rm cos{\alpha}}{\rm cos{\left( \alpha+\beta\right)}}\)
D. \(\dfrac{W \rm sin{\alpha}}{\rm sin{\left( \alpha+\beta\right)}}\)
Answer» E.


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