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tag: theory curve ×

From Ordinate 2D ✓

A Simply Supported Beam Scene · Ordinate 2D ✓ A beam on a pin and a strut carries two weights. Moments about the pin give the strut's push, R_B L = Σ W x; the vertical balance gives the pin's. A Block on a Board: When Does It Slip? Scene · Ordinate 2D ✓ A board on ice is pulled harder and harder. Friction carries the block on it along until F = μ g (m₁ + m₂); then the block slips and the accelerations part. Apparent Weight in a Lift Scene · Ordinate 2D ✓ A passenger on a scale in a lift that goes up and down: the scale reads N = m(g + a), more while the lift speeds up going up (or brakes going down), less the other way round. Recoil: Two Carts Pushed Apart Scene · Ordinate 2D ✓ A spring pushes a 1 kg and a 3 kg cart apart. The total momentum stays zero: the light cart leaves three times as fast and takes three quarters of the energy. The Yo-Yo Scene · Ordinate 2D ✓ A disc falls as its string unwinds: a = g/(1 + I/mR²) = ⅔ g, and the string holds a third of its weight, until the string runs out. A box beside it falls at g. Leaving the Dome Scene · Ordinate 2D ✓ A block slides off the top of a smooth dome. The normal force m g cos θ − m v²/R falls to zero at cos θ = ⅔: it always leaves at two thirds of the height. Archimedes: What Floats, and How Deep Scene · Ordinate 2D ✓ Cubes of cork, pine, ice and steel in a tank of water. A floating cube sinks until the water it pushes away weighs as much as it does: d = s ρ/ρ_water. Steel sinks. Slipping, then Rolling Scene · Ordinate 2D ✓ A disc and a hoop are thrown along the floor without spinning: both slide at first, friction slows the centre and spins the body up until v = ωR, then both roll steadily at v₀/(1 + k): ⅔ v₀ for the disc, a little over half for the hoop.

All 38 from Ordinate 2D

From the community

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