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 24 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 150 N acts at A, 200 mm from O, and is balanced by a horizontal force Q at B, 150 mm above O. Find Q.
A horizontal beam AB is pinned to a wall at A and propped by the strut CD, pinned to the wall at C, 0.75 m below A. A load of 5 kN hangs at B. Neglect the weights. Find the magnitude of the pin force A on the beam at A.
A horizontal beam AB is pinned to a wall at A and propped by the strut CD, pinned to the wall at C, 0.75 m below A. A load of 4 kN hangs at B. Neglect the weights. Find the magnitude of the pin force A on the beam at A.
The frame shown has pins at A, B and C; A and C are fixed to the ground 4 m apart, and B is 3 m high and 2.4 m to the right of A. Member AB carries a vertical load of 6 kN at K, 0.6 m (horizontally) from A, and a horizontal load of 6 kN to the right acts at B on member AB. Find the size of the horizontal reaction Ax at A.
A toggle press has two equal links AB and BC, each 150 mm long between pins. The joint B sits 10 mm above the line AC. Which downward force F at B produces a horizontal pressing force of 2500 N at the slider C? Neglect friction and weights.
Answer key
- 1. FO = 1200 N
- 2. Q = 200 N
- 3. A = 20.62 kN
- 4. A = 8.246 kN
- 5. Ax = 3.12 kN
- 6. F = 334.1 N
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