The handles of a pair of pliers are squeezed with 200 N each, 90 mm from the pin O, and the jaws grip a wire 30 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, 6 m apart. A vertical load of 10 kN acts on leg AC at the point K, 2.25 m (horizontally) from A. Find the vertical reaction By at the roller.
In the toggle clamp shown, two equal links AB and BC are pinned together at B, and each makes 30° with the line AC. A downward force of 500 N is applied at B. The slider C presses on a workpiece. Neglecting friction and weights, find the horizontal clamping force Q.
A horizontal beam AB is pinned to a wall at A and propped by the strut CD, pinned to the wall at C, 0.8 m below A. A load of 5 kN hangs at B. Neglect the weights. Find the magnitude of the pin force A on the beam at A.
The A-frame shown stands on a pin at A and a roller at B, 2.4 m apart, with its apex pin C 4.5 m high and the horizontal tie DE 1.8 m above the ground. A vertical load of 8 kN acts on leg AC at K, 0.9 m (horizontally) from A. Find the magnitude of the force C that the pin C exerts on leg BC.
The beam AB of the wall bracket shown is pinned at A and propped by the strut CD (C is 1 m below A). The beam carries a uniform load of 3 kN/m over its full length and a point load of 2 kN at its free end B. Find the force FCD in the strut.
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