Also in:Force equilibrium

Seesaw: Balance the Torques

An educational simulation game. Predict where a child must sit, or how heavy they must be, to balance a seesaw, then let go and see whether it stays level or tips.

TorqueRotational equilibrium

PLAYGROUND

Where to sit

Ready
Enable JavaScript to balance the seesaw. The instructions and worked example remain readable.
Weights m·gLifting force FPivot supportTorque bars
Torques about the pivotΣM = 0

Time

0.00 s

t

Tilt

0.0 °

θ

Counter-clockwise torque

— N·m

Σ m·g·d

Clockwise torque

— N·m

Σ m·g·d

Net torque

— N·m

ΣM

Predict before you let go

Type your answer to set up the seesaw. Let go stays off until there is an answer.

Predict the balance before you let go.

Mission score—

A right answer, within 2%, earns 100 points. Getting it right on the first run adds 50. A run counts as soon as it starts.

✓ Right answer① First try

How to play Seesaw

  1. Choose a seesaw and read the masses and their signed distances from the pivot on the card.
  2. Work out each torque, weight × distance, and add them on each side.
  3. Type the distance, mass, or force that makes the two sides equal, and press Let go.
  4. Watch the torque bars: equal bars keep the plank level; otherwise it tips toward the larger torque.

What keeps a seesaw level?

A force can turn an object about a pivot. Its turning effect, the torque or moment, is the force times its perpendicular distance from the pivot: M = F·d. A weight m·g at distance d gives M = m·g·d. An object at rest does not start turning when the torques cancel: ΣM = 0, so the counter-clockwise torques equal the clockwise torques. That is why a light child far out can balance a heavy child close in, why a plank's own weight matters when the pivot is not at its centre, and why levers such as a wheelbarrow let a small force lift a large load.

A focused learning model

The plank is rigid and children are point weights at fixed distances. The pivot's friction holds the plank level while the net torque is at most 2% of the larger side's torque. Otherwise the plank turns from rest, θ = ½·(ΣM ÷ I)·t², until its lower end touches the ground, found exactly. Torques are counter-clockwise positive. Plays in real time.

Changing language keeps your seesaw, answer, attempts, and run.