The handles of a pair of pliers are squeezed with 60 N each, 80 mm from the pin O, and the jaws grip a wire 18 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, 90 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 A-frame shown stands on a pin at A and a roller at B, 2.4 m apart, with its apex pin C 2.5 m high and the horizontal tie DE 1 m above the ground. A vertical load of 10 kN acts on leg AC at K, 0.72 m (horizontally) from A. Find the tension T in the tie.
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 500 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. The legs meet at the pin C, 3.6 m high, and are tied by the horizontal bar DE at 0.8 m. A horizontal force of 4 kN to the right acts at C. 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 B to the point C on the wall, 1.5 m above A. A load of 15 kN hangs at B. Find the magnitude of the pin reaction A.
Answer key
- 1. FO = 326.7 N
- 2. FO = 440 N
- 3. T = 2.4 kN
- 4. Q = 536.1 N
- 5. T = 2.571 kN
- 6. A = 52.51 kN
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