For the member shown in figure find the magnitude and direction of the resultant reaction at the hinged support A.[Figure: L-shaped member BAC. A is a hinge at the corner. AB is vertical, 3 m long, with its upper end B attached by a horizontal link t…

Q.1 (b) For the member shown in figure find the magnitude and direction of the resultant reaction at the hinged support A.

[Figure: L-shaped member BAC. A is a hinge at the corner. AB is vertical, 3 m long, with its upper end B attached by a horizontal link to a vertical wall on the left. AC is horizontal, 4 m long, to the right of A; a vertical downward load of 30 N acts at C.]

Doubtly Asked 25 Oct 2026 mu engineering Save WhatsApp Report

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The link at B can only exert a horizontal force \(R_B\). Hinge A gives \(H_A\) and \(V_A\).

\(\sum M_A = 0:\ R_B \times 3 = 30 \times 4 \Rightarrow R_B = 40\) N (acting to the left at B, i.e. the link is in tension)

\(\sum F_x = 0:\ H_A = 40\) N (→); \(\sum F_y = 0:\ V_A = 30\) N (↑)

\(R_A = \sqrt{40^2 + 30^2} = 50\) N, \(\theta = \tan^{-1}(30/40) = 36.87^\circ\)

Answer: \(R_A = 50\) N acting at 36.87° above the horizontal, directed up and to the right.

Doubtly AI · 25 Oct 2026 AI-verified · Oct 2026 Report

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For the member shown in figure find the magnitude and direction of the resultant reaction at the hinged support A.[Figure: L-shaped member BAC. A is a hinge at the corner. AB is vertical, 3 m long, with its upper end B attached by a horizontal link t…

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