Physics 9702 · AS & A Level · Equilibrium of forces

Equilibrium of forces — practice question

A shelf PQ is fixed to a vertical wall at P and carries a book. A rigid bar XY keeps the shelf level, as shown. The shelf has weight $W_s$ and the book has weight $W_b$. The bar makes an angle $\theta$ with the shelf and applies a force $F$ to the shelf. The shelf is in equilibrium. What are the magnitudes of the horizontal and the vertical components of the force exerted by the wall on the shelf at P?

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