PLAY NOW · 19
Force Table: Balance the Ring
Balance a ring pulled by strings at different angles. Discover why 3 N and 4 N need exactly 5 N to cancel, and why only the vector sum matters.
- Equilibrium
- ΣF = 0
- Sizes
- |F₁ + F₂| ≤ |F₁| + |F₂|
Collection · 4 games
An object in equilibrium stays at rest because the forces on it, and their turning effects, cancel. These games, from two topics, all use it: play them to balance vectors, size cables, place weights on a lever, and share a load between supports.
An object at rest stays at rest only if the vector sum of the forces on it is zero, ΣF = 0: split into components, ΣFₓ = 0 and ΣF_y = 0, and drawn head to tail the forces close into a polygon. It also must not start turning, so the moments about any point cancel, ΣM = 0, where each moment is a force times its perpendicular distance, M = F·d. Forces that all act at one point only need the first condition; a plank, a lever, or a bridge needs both.
PLAY NOW · 19
Balance a ring pulled by strings at different angles. Discover why 3 N and 4 N need exactly 5 N to cancel, and why only the vector sum matters.
PLAY NOW · 32
Hang a 20 kg sign from one or two cables. Use ΣF = 0 to find each tension, discover why flat cables pull much harder, and find the shallowest angle a cable can take.
PLAY NOW · 33
Balance a seesaw with children of different masses. Use torque, weight × distance, to place them, include the plank's own weight, and find the force that lifts a wheelbarrow.
PLAY NOW · 34
Load a plank resting on two supports. Use ΣF = 0 and ΣM = 0 to find each support's reaction, include the plank's weight, and find where a support cracks or the plank tips.
11 games
Position, velocity, acceleration, and gravity.
2 games
Units, SI prefixes, and scientific notation.
3 games
Rearranging formulas: inverse operations and unit checks.
3 games
Vector addition, displacement, and forces.
3 games
Right triangles, inverse functions, and the unit circle.
3 games
Horizontal and angled launches: two motions at once.
3 games
Uniform circular motion, angular velocity, and centripetal force.
3 games
Newton's law of universal gravitation, weight, orbits, and Kepler's laws.
3 games
Force equilibrium, cable tension, torque, and support reactions.
5 games
Torque, lever arms, tipping, and angular acceleration.
3 games
Centre of mass, balance points, composite objects, and toppling.
9 games
Density, buoyancy, floating, and pressure under water and in the air.
3 games
Flow, Bernoulli's principle, jets, pipes, and lift.
10 games
Amplitude, period, frequency, pendulums, springs, energy, and resonance.
27 games
What a wave is, amplitude, wavelength, frequency, period, and sound.
10 games
Electric charge, electrons, and the forces between charges.
16 games
Voltage, current, resistance, and the energy circuits carry.