Pseudo Force Simulation - Convex Classes
Pseudo Force — Interactive Simulation
Pseudo Force
the force we "invent" to make Newton's Laws work inside an accelerating frame
Fpseudo = −m·a acts opposite to the frame's own acceleration, felt only by an observer riding inside it
Ground Frame — inertial, standing outside the bus
Bus Frame — non-inertial, sitting inside the bus
Bus acceleration (a) 4.0 m/s²
Mass
2 kg
Force on ball (ground)
0 N
F pseudo (bus)
8.0 N

What's actually happening?

  • The floor is frictionless, so no real horizontal force acts on the ball. In the ground frame, it simply stays put while the bus accelerates forward beneath it.
  • An observer inside the bus sees the same ball slide toward the back wall — to explain that with F = ma, they must invent a backward pseudo force equal to −m·a.
Bus acceleration (a) 4.0 m/s²
Tilt angle θ
22.2°
F pseudo
8.0 N

Reading this diagram

  • Ground frame: only Tension (T) and gravity (mg) are real. Their combination gives the ball a net horizontal force = m·a — exactly enough to accelerate with the bus. No pseudo force needed here.
  • Bus frame: the ball looks stationary (hanging tilted, not swinging), so a third force — the pseudo force (m·a, backward) — must be added for T + mg + Fpseudo to balance to zero.

🚗 Sudden Braking

Passengers lurch forward — inside the car, it feels like a forward push, but it's really the car decelerating under them.

🛗 Lift Starting Up

You feel heavier for a moment. A weighing scale in the lift briefly reads more than your real weight, mg.

🎠 Merry-Go-Round

The outward push you feel while spinning is the centrifugal force — a pseudo force in the rotating frame.

✈️ Airplane Takeoff

You're pressed back into your seat as the plane accelerates — the seat provides the real force, but it feels like something is pushing you back.

🌀 Washing Machine Spin

Clothes get pressed against the drum wall during the spin cycle — the same centrifugal pseudo force as the merry-go-round, on a smaller scale.

🌍 Earth's Rotation

Cyclones curve instead of moving straight — the Coriolis force, a pseudo force that appears because Earth itself is a rotating frame.

Madhav Digital Solution — built for classroom use · toggle acceleration and press Play to demonstrate live