The handles of a pair of pliers are squeezed with 120 N each, 120 mm from the pin O, and the jaws grip a wire 20 mm from the pin. Take all forces as perpendicular to the handle. Find the force FO that the pin transmits.
The A-frame shown rests on a pin at A and a roller at B, 3 m apart. A vertical load of 10 kN acts on leg AC at the point K, 1.125 m (horizontally) from A. Find the vertical reaction By at the roller.
The bell crank shown turns about the pin O. A vertical force of 300 N at A (100 mm from O) is balanced by a horizontal force at B (100 mm above O). Find the magnitude of the pin reaction FO.
The frame shown has pins at A, B and C; A and C are fixed to the ground 8 m apart, and B is 2.5 m above the ground and 1.2 m to the right of A. A vertical load of 15 kN acts on member AB at K, 0.72 m (horizontally) from A. Find the force FBC in member BC.
The A-frame shown stands on a pin at A and a roller at B, 2.4 m apart. The legs meet at the pin C, 4.5 m high, and are tied by the horizontal bar DE at 1 m. A horizontal force of 6 kN to the right acts at C. Find the tension T in the tie.
A uniform horizontal boom AB of weight 2 kN is pinned to a wall at A and held by a cable from its end B to the point C on the wall, 1.5 m above A. A load of 8 kN hangs at B. Find the tension T in the cable.
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