THE PHYSICAL EDITION
Balance and Blocks
Vince wants to lift Duck's end of a tiny seesaw. He tries matching blocks, moves them and adds one more, discovering how weight and position work together.
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A load can tip a seesawPages 1–2
Vince watches his yellow toy duck on the low end of a wooden beam. The other end is raised. A load away from the pivot can turn the beam toward its side. The lowered end rests on the mat.
Ask together: Which end is down?
Choose objects to comparePages 3–4
Duck waits beside the tray while Vince puts one matched block on the beam. The three blocks are alike in weight as well as appearance. Using matched objects helps Vince compare their positions.
Ask together: What will Vince try with his blocks?
Matching weight and distancePages 5–6
Vince steadies the beam as he places a block opposite the first. After he releases it, the beam is level. Equal weights at matching distances can balance a centered beam. This brief result does not promise that the beam will stay level after a disturbance.
Ask together: Where are the two blocks?
Position changes turning effectPages 7–8
Vince moves the right block farther from the pivot. That side tips down after he lets go. The block has not become heavier. Farther from the pivot, it has a greater turning effect.
Ask together: What changed while the blocks stayed the same?
Restore the comparisonPages 9–10
Vince moves the other block out too, steadies the beam, and releases it to find level again. Matching the distances restores equal opposing turning effects. Vince prepares the level position by hand.
Ask together: How did Vince match the blocks this time?
More weight at one positionPages 11–12
Vince stacks the third block on the left block. The pair's side goes down. The pair shares one horizontal position. Adding a matched block increases that side's turning effect.
Ask together: What is different on the low side?
Weight and distance work togetherPages 13–14
Vince steadies the beam while moving the pair closer to the pivot. The two close blocks balance the single block farther away for a moment. For matched blocks and a centered beam at level, two can balance one when their shared center is about half as far from the pivot. Real materials need adjustment.
Ask together: Which blocks are closer to the middle?
Try a discovery with a new objectPages 15–16
Vince tries a place for the duck and a closer place for one block, then releases the level beam. The duck and block need not weigh the same. Vince adjusts their positions to balance their opposing turning effects.
Ask together: How has Duck's ride changed since the beginning?
Sources and evidence
A centered uniform beam with a load on only one side tends to turn down on that side.
Lifting with a Lever — Ben Finio, Science Buddies
Center of Gravity — Exploratorium Teacher Institute
Rigid approximately uniform beam; narrow freely rocking support; sufficient load to exceed friction. A down end may rest on the mat; it is not then in free balance.
Equal-weight blocks at equal distances on opposite sides can balance the centered beam.
Lifting with a Lever — Ben Finio, Science Buddies
9.3 Stability — OpenStax College Physics 2e
Identical looking does not always mean identical mass; these three matched wooden cubes are one set. Center the unloaded beam first.
Equal moments at level do not imply self-righting. Vince steadies the beam level before release; the result is brief and may tip again. Physical support friction and load height affect stability.
With equal loads, moving one farther from the pivot increases its turning effect; matching the other distance can restore balance.
Lifting with a Lever — Ben Finio, Science Buddies
9.3 Stability — OpenStax College Physics 2e
Distance is horizontal distance from pivot to load center, not distance from the edge. Keep pivot/beam/blocks fixed except specified moved block.
Equal moments at level do not imply self-righting. Vince steadies the beam level before release; the result is brief and may tip again. Physical support friction and load height affect stability.
Adding a matched block at the same side/distance increases that side's turning effect.
Lifting with a Lever — Ben Finio, Science Buddies
Stack the pair centered at the same longitudinal position; added mass, not increased height, causes the changed moment at level.
Two equal blocks can balance one if their shared center is about half as far from the pivot as the single block.
Lifting with a Lever — Ben Finio, Science Buddies
9.3 Stability — OpenStax College Physics 2e
Idealized weight-distance relation at level; friction, block variation and beam balance require small practical adjustment. Exact illustration is not measured data.
Equal moments at level do not imply self-righting. Vince steadies the beam level before release; the result is brief and may tip again. Physical support friction and load height affect stability.
A differently weighted toy and block can balance by adjusting their distances from the pivot.
Lifting with a Lever — Ben Finio, Science Buddies
Center of Gravity — Exploratorium Teacher Institute
9.3 Stability — OpenStax College Physics 2e
Toy has an unspecified mass; do not imply one duck equals one block. Final duck farther out and denser wooden cube nearer support is plausible for a light hollow duck; art is illustrative.
Equal moments at level do not imply self-righting. Vince steadies the beam level before release; the result is brief and may tip again. Physical support friction and load height affect stability.
An adult can explore these relationships with a stiff strip, a low support and matched large blocks, making small adjustments.
Lifting with a Lever — Ben Finio, Science Buddies
9.3 Stability — OpenStax College Physics 2e
Source uses ruler/pencil/weights; our broad smooth strip/low triangular wood support is an adaptation, not a physically tried kit. Prebalance beam and confirm each comparison. Use light large pieces on a low surface; keep fingers clear. Not a claim that every toy/beam works.
Equal moments at level do not imply self-righting. Vince steadies the beam level before release; the result is brief and may tip again. Physical support friction and load height affect stability.
