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 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
The A-frame shown rests on a pin at A and a roller at B, 5 m apart. A vertical load of 4 kN acts on leg AC at the point K, 0.625 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 25° with the line AC. A downward force of 300 N is applied at B. The slider C presses on a workpiece. Neglecting friction and weights, find the horizontal clamping force Q.
The frame shown has pins at A, B and C; A and C are fixed to the ground 4 m apart, and B is 3 m above the ground and 2.4 m to the right of A. A vertical load of 4 kN acts on member AB at K, 0.6 m (horizontally) from A. Find the force FBC in member BC.
A toggle press has two equal links AB and BC, each 120 mm long between pins. The joint B sits 12 mm above the line AC. Which downward force F at B produces a horizontal pressing force of 1500 N at the slider C? Neglect friction and weights.
The frame shown has pins at A, B and C; A and C are fixed to the ground 3 m apart, and B is 2 m high and 0.45 m to the right of A. Member AB carries a vertical load of 6 kN at K, 0.225 m (horizontally) from A, and a horizontal load of 6 kN to the right acts at B on member AB. Find the size of the horizontal reaction Ax at A.
Answer key
- 1. FO = 640 N
- 2. By = 0.5 kN
- 3. Q = 321.7 N
- 4. FBC = 0.68 kN
- 5. F = 301.5 N
- 6. Ax = 0.3263 kN
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