Loading ramp.

How does a ramp trade distance for effort?

Setting up the mechanism…

Uphill force: 133.63N
Ramp length: 1.56m

Input work: 207.89J

Fit the components, then test the mechanism.

How does a ramp trade distance for effort?

Gravity acts down the slope while friction opposes upward travel. A shallow ramp takes less force, but its longer path still supplies the same gravitational energy plus frictional losses.

F = mg(sin θ + μ cos θ)

What this model simplifies

Constant-speed uphill motion; Coulomb friction is an effective rolling resistance. No acceleration or wheel inertia.

Read the source · openstax.org ↗

Put it to work.

Raise 20 kg by 1 m with less than 100 N.

Make it work.

Compare uphill force and distance at different ramp angles.

Run

Fine adjustments 3

Crate masskg

Ramp angle°

Resistance coefficient

Loading ramp.

How does a ramp trade distance for effort?

Loading the experiment…

Figuvo

Understand by doing.

Understanding is something you do.

Figuvo is a place to look inside everyday things, build a connection, and discover the idea behind them.

177 interactive experiments. Each has a working model and a challenge to test what you found.

The original inspiration

Levers & fulcrums The surprising gyroscope The field cannon Inside the human body

Original demonstrations by The Bugged Dev. The teaching models and interactions here are new implementations.

Community builds

New teaching models inspired by public builds shared around Anatomy.

Anatomy · the original announcement How a rocket pushes through space · Gustavo Inside a tactile key switch · @retaqib Pressure through the coffee bed · Gustavo The overbalance wheel · Shawn A seconds pendulum clock · @Baconbrix Three feet on the ground · Soju Inside a layered particle detector · Yash A double-deck pressure cabin · Charlie Leave the spent booster behind · @quantapar Principal, interest and escrow · Sean Gear a Martian year · @samani_Two balls in, two balls out · @samani_Two slits, one probability pattern · @samani_Join through a clear plastic cover · Josh Brown Lay pipe without a sharp bend · @Phi10w Eight cylinders and a blower · @love4hxns Four columns under a Joglo roof · Nur Asyrof An office for dependent tasks · Yaroslav Yablonski One image, six editable layers · Meng To The Redis caching machine · @uviii_03 Inside the Sony CMD-J5 · Ann Afterburner thrust stand · Joshua Guo Open-back headphones · Surajan Shrestha Two-thread lockstitch machine · @slashui Signal factory · Dhruval Golakiya

Tools and workshop machines

Loading ramp.

How does a ramp trade distance for effort?

Setting up the mechanism…

Uphill force: 133.63N
Ramp length: 1.56m

Input work: 207.89J

Fit the components, then test the mechanism.

How does a ramp trade distance for effort?

Gravity acts down the slope while friction opposes upward travel. A shallow ramp takes less force, but its longer path still supplies the same gravitational energy plus frictional losses.

F = mg(sin θ + μ cos θ)

What this model simplifies

Constant-speed uphill motion; Coulomb friction is an effective rolling resistance. No acceleration or wheel inertia.

Read the source · openstax.org ↗

Put it to work.

Raise 20 kg by 1 m with less than 100 N.

Make it work.

Compare uphill force and distance at different ramp angles.

Run

Fine adjustments 3

Crate masskg

Ramp angle°

Resistance coefficient