The handles of a pair of pliers are squeezed with 200 N each, 120 mm from the pin O, and the jaws grip a wire 15 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 20 mm from the pin. Take all forces as perpendicular to the handle. Find the force FO that the pin transmits.
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 250 N is applied at B. The slider C presses on a workpiece. Neglecting friction and weights, find the horizontal clamping force Q.
The A-frame shown stands on a pin at A and a roller at B, 3 m apart, with its apex pin C 3 m high and the horizontal tie DE 1 m above the ground. A vertical load of 10 kN acts on leg AC at K, 1.125 m (horizontally) from A. Find the tension T in the tie.
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, 1 m above A. A load of 4 kN hangs at B. Find the tension T in the cable.
The beam AB of the wall bracket shown is pinned at A and propped by the strut CD (C is 0.75 m below A). The beam carries a uniform load of 4 kN/m over its full length and a point load of 15 kN at its free end B. Find the force FCD in the strut.
Answer key
- 1. FO = 1800 N
- 2. FO = 640 N
- 3. Q = 268.1 N
- 4. T = 2.813 kN
- 5. T = 28.89 kN
- 6. FCD = 79.2 kN
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