The handles of a pair of pliers are squeezed with 50 N each, 90 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 handles of a pair of pliers are squeezed with 80 N each, 150 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 frame shown has pins at A, B and C; A and C are fixed to the ground 3 m apart, and B is 3 m above the ground and 1.35 m to the right of A. A vertical load of 6 kN acts on member AB at K, 0.3375 m (horizontally) from A. Find the force FBC in member BC.
In the toggle clamp shown, two equal links AB and BC are pinned together at B, and each makes 15° with the line AC. A downward force of 400 N is applied at B. The slider C presses on a workpiece. Neglecting friction and weights, find the horizontal clamping force Q.
A uniform horizontal boom AB of weight 1 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 10 kN hangs at B. Find the tension T in the cable.
A toggle press has two equal links AB and BC, each 200 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 2000 N at the slider C? Neglect friction and weights.
Answer key
- 1. FO = 230 N
- 2. FO = 480 N
- 3. FBC = 0.7704 kN
- 4. Q = 746.4 N
- 5. T = 29.9 kN
- 6. F = 100 N
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