The handles of a pair of pliers are squeezed with 200 N each, 150 mm from the pin O, and the jaws grip a wire 40 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 handles of a pair of pliers are squeezed with 80 N each, 140 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.
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 6 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 m apart. The legs meet at the pin C, 4 m high, and the horizontal tie DE is 1.8 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.
A toggle press has two equal links AB and BC, each 100 mm long between pins. The joint B sits 5 mm above the line AC. Which downward force F at B produces a horizontal pressing force of 3000 N at the slider C? Neglect friction and weights.
The A-frame shown stands on a pin at A and a roller at B, 3.2 m apart. The legs meet at the pin C, 2.4 m high, and are tied by the horizontal bar DE at 1 m. A horizontal force of 2 kN to the right acts at C. Find the tension T in the tie.
Answer key
- 1. FO = 950 N
- 2. FO = 528 N
- 3. A = 22.67 kN
- 4. C = 10.98 kN
- 5. F = 300.4 N
- 6. T = 1.714 kN
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