The handles of a pair of pliers are squeezed with 100 N each, 140 mm from the pin O, and the jaws grip a wire 35 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 stands on a pin at A and a roller at B, 3 m apart. The legs meet at the pin C, 2.5 m high, and are tied together by the horizontal bar DE at a height of 0.6 m. A load of 2 kN acts at C. Find the tension T in the tie DE.
The A-frame shown stands on a pin at A and a roller at B, 4.8 m apart. The legs meet at the pin C, 4 m high, and the horizontal tie DE is 1.2 m above the ground. A load of 20 kN acts at C. Find the magnitude of the force C that the pin C exerts on leg BC.
In the toggle clamp shown, two equal links AB and BC are pinned together at B, and each makes 12° with the line AC. A downward force of 200 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 3 m apart, and B is 2 m high and 1.8 m to the right of A. Member AB carries a vertical load of 5 kN at K, 1.08 m (horizontally) from A, and a horizontal load of 4 kN to the right acts at B on member AB. Find the size of the horizontal reaction Ax at A.
The beam AB of the wall bracket shown is pinned at A and propped by the strut CD (C is 1.2 m below A). The beam carries a uniform load of 1 kN/m over its full length and a point load of 8 kN at its free end B. Find the force FCD in the strut.
Answer key
- 1. FO = 500 N
- 2. T = 0.7895 kN
- 3. C = 13.17 kN
- 4. Q = 470.5 N
- 5. Ax = 1.32 kN
- 6. FCD = 41.67 kN
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