The handles of a pair of pliers are squeezed with 40 N each, 110 mm from the pin O, and the jaws grip a wire 25 mm from the pin. Take all forces as perpendicular to the handle. Find the force FO that the pin transmits.
Frames & machines worksheet with answers
The A-frame shown rests on a pin at A and a roller at B, 4 m apart. A vertical load of 10 kN acts on leg AC at the point K, 1 m (horizontally) from A. Find the vertical reaction By at the roller.
The A-frame shown stands on a pin at A and a roller at B, 2 m apart. The legs meet at the pin C, 4.5 m high, and the horizontal tie DE is 1.2 m above the ground. A load of 20 kN acts at C. Find the magnitude of the force C that the pin C exerts on leg BC.
The bell crank shown turns about the pin O. A vertical force of 250 N at A (150 mm from O) is balanced by a horizontal force at B (150 mm above O). Find the magnitude of the pin reaction FO.
A uniform horizontal boom AB of weight 1 kN is pinned to a wall at A and held by a cable from B to the point C on the wall, 3 m above A. A load of 5 kN hangs at B. Find the magnitude of the pin reaction A.
The beam AB of the wall bracket shown is pinned at A and propped by the strut CD (C is 0.75 m below A). The beam carries a uniform load of 1 kN/m over its full length and a point load of 12 kN at its free end B. Find the force FCD in the strut.
Answer key
- 1. FO = 216 N
- 2. By = 2.5 kN
- 3. C = 10.45 kN
- 4. FO = 353.6 N
- 5. A = 5.523 kN
- 6. FCD = 78.11 kN
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