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Nov 2014 p41 q2
4055
Small blocks A and B are held at rest on a smooth plane inclined at 30° to the horizontal. Each is held in equilibrium by a force of magnitude 18 N. The force on A acts upwards parallel to a line of greatest slope of the plane, and the force on B acts horizontally in the vertical plane containing a line of greatest slope (see diagram). Find the weight of A and the weight of B.
Solution
For block A, the force triangle involves the weight of A, the normal reaction, and the 18 N force acting parallel to the slope. The angle between the weight and the 18 N force is 30°.
Using the sine rule for the triangle of forces, we have:
For block B, the force triangle involves the weight of B, the normal reaction, and the 18 N force acting horizontally. The angle between the weight and the 18 N force is 30°.
Using the sine rule for the triangle of forces, we have: