The handles of a pair of pliers are squeezed with 60 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.
Frames & machines worksheet with answers
The bell crank shown turns about the pin O. A vertical force of 50 N acts at A, 180 mm from O, and is balanced by a horizontal force Q at B, 80 mm above O. Find Q.
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 (150 mm above O). Find the magnitude of the pin reaction FO.
In the toggle clamp shown, two equal links AB and BC are pinned together at B, and each makes 8° with the line AC. A downward force of 150 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, 4.8 m apart, with its apex pin C 3.6 m high and the horizontal tie DE 2 m above the ground. A vertical load of 5 kN acts on leg AC at K, 1.8 m (horizontally) from A. Find the magnitude of the force C that the pin C exerts on leg BC.
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 m high and the horizontal tie DE 1 m above the ground. A vertical load of 8 kN acts on leg AC at K, 0.3 m (horizontally) from A. Find the magnitude of the force C that the pin C exerts on leg BC.
Answer key
- 1. FO = 360 N
- 2. Q = 112.5 N
- 3. FO = 102.4 N
- 4. Q = 533.7 N
- 5. C = 3.38 kN
- 6. C = 1.562 kN
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