K1
Levers and balance
Seesaws, pry bars, wheelbarrows and tool handles: the picture asks for the tipping side or the holding force.
Rule: Weight × distance from the pivot is the turning effect. Equal on both sides: it balances.
Worked: 300 lb sits 2 ft from the pivot. 300 × 2 = 600, so a push 6 ft out on the other side needs 600 ÷ 6 = 100 lb.
Lesson K1 in the course: video, guide, trainer, three timed drills
K2
Gears and belt drives
Chains of gears, belt drives with open or crossed belts, racks: the picture asks for the turning sense or the rpm of the last part.
Rule: Every gear mesh and every crossed belt reverses the direction; an open belt does not. Speed × size is the same on both sides of a mesh: the bigger gear turns slower.
Worked: a 20-tooth gear at 120 rpm drives a 40-tooth gear: 120 × 20 ÷ 40 = 60 rpm, turning the other way.
Lesson K2 in the course: video, guide, trainer, three timed drills
K3
Pulleys, wheels and springs
Rope and pulley systems, single pulleys, double blocks, winches and hanging springs.
Rule: Count the rope strands that hold up the moving block. Pull = load ÷ strands; rope pulled = lift × strands.
Worked: three strands hold a 90 lb load: you pull 30 lb, but 3 ft of rope for every foot the load rises.
Lesson K3 in the course: video, guide, trainer, three timed drills
K7
Fluids and hydraulics
Water tanks with outlets at several heights, hose-and-piston presses, objects that float.
Rule: Pressure in a liquid depends only on depth (and the liquid), never on the shape of the container. A closed liquid passes the same pressure to every piston.
Worked: 10 lb on a 1 in² piston makes 10 psi; on a 20 in² piston that is 200 lb, but it moves only 1/20 as far.
Lesson K7 in the course: video, guide, trainer, three timed drills
K6
Forces and motion
Objects dropped or thrown, loose cargo when a vehicle brakes, a whirled ball, two pulls at once.
Rule: An object keeps moving in a straight line at the same speed unless a force acts on it. Without air resistance, everything falls at the same rate.
Worked: a ball dropped and a ball rolled off the same table at the same moment hit the floor together: sideways speed does not change the fall.
Lesson K6 in the course: video, guide, trainer, three timed drills
K4
Ramps, slopes and structures
Loading ramps, wedges, a beam resting on two posts, slanted ropes, braced frames.
Rule: Force × length of the ramp = weight × height. The support nearer the load carries more of it.
Worked: rolling 200 lb up a 10 ft ramp onto a 2 ft step takes 200 × 2 ÷ 10 = 40 lb, ignoring friction.
Lesson K4 in the course: video, guide, trainer, three timed drills
K5
Center of gravity and stability
Ladders, stacked boxes, loaded shelves and trucks: the picture asks what topples or where a bar balances.
Rule: An object stands as long as a vertical line through its center of gravity falls inside its base.
Worked: two boxes of the same weight, one tall and narrow, one low and wide, tilted by the same angle: the tall one tips first, because its center of gravity is higher and passes the edge sooner.
Lesson K5 in the course: video, guide, trainer, three timed drills
K8–11
Heat, electricity, sound and light, shapes
Fewer questions, but they come up, and each has one rule worth knowing:
- K8 Heat: warm fluid rises and cool fluid sinks; a bimetal strip bends away from the metal that expands more.
- K9 Electricity and magnetism: a lamp lights only on a complete path from + to −; lamps in parallel each get the full battery voltage.
- K10 Sound and light: a mirror reflects at the angle the ray arrives; shorter, tighter, lighter parts vibrate faster and give a higher note.
- K11 Shape, volume and everyday mechanics: depth = volume ÷ floor area, so the same water stands deeper in the narrower container.