The handles of a pair of pliers are squeezed with 150 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.
Frames & machines worksheet with answers
A horizontal beam AB is pinned to a wall at A and propped by the strut CD, pinned to the wall at C, 1.2 m below A. A load of 6 kN hangs at the free end B. Neglect the weights. Find the force FCD in the strut.
A horizontal beam AB is pinned to a wall at A and propped by the strut CD, pinned to the wall at C, 0.75 m below A. A load of 4 kN hangs at B. Neglect the weights. Find the magnitude of the pin force A on the beam at A.
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 10 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, 3.2 m apart, with its apex pin C 2.5 m high and the horizontal tie DE 1.5 m above the ground. A vertical load of 8 kN acts on leg AC at K, 1.2 m (horizontally) from A. Find the magnitude of the force C that the pin C exerts on leg BC.
A uniform horizontal boom AB of weight 1.5 kN is pinned to a wall at A and held by a cable from its end B to the point C on the wall, 4 m above A. A load of 6 kN hangs at B. Find the tension T in the cable.
Answer key
- 1. FO = 1050 N
- 2. FCD = 12.5 kN
- 3. A = 8.732 kN
- 4. A = 33.11 kN
- 5. C = 5.66 kN
- 6. T = 12.17 kN
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