The A-frame shown rests on a pin at A and a roller at B, 4.8 m apart. A vertical load of 2 kN acts on leg AC at the point K, 1.8 m (horizontally) from A. Find the vertical reaction By at the roller.
Frames & machines worksheet with answers
The handles of a pair of pliers are squeezed with 50 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.
The bell crank shown turns about the pin O. A vertical force of 80 N at A (120 mm from O) is balanced by a horizontal force at B (75 mm above O). Find the magnitude of the pin reaction FO.
The frame shown has pins at A, B and C; A and C are fixed to the ground 8 m apart, and B is 3 m above the ground and 1.2 m to the right of A. A vertical load of 6 kN acts on member AB at K, 0.48 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 15 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.
A uniform horizontal boom AB of weight 2 kN is pinned to a wall at A and held by a cable from its end B to the point C on the wall, 2 m above A. A load of 12 kN hangs at B. Find the tension T in the cable.
Answer key
- 1. By = 0.75 kN
- 2. FO = 350 N
- 3. FO = 150.9 N
- 4. FBC = 0.8919 kN
- 5. F = 504 N
- 6. T = 20.81 kN
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