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Parameters

Scenario presetMass m (kg)Gravity g (m/s²)Applied force (N)Applied angle (°)Friction coefficient μTension (N)Tension angle (°) Friction enabled

Custom forces

Display Options

Weight Normal force Friction force Tension Applied force Resultant Component vectors Labels Grid

Force · Physics

Force & Free-Body Diagram

Explore 2D forces on a block initially at rest.

SI · 2D

Ideal / frictionless

All arrows use the same automatically fitted force scale. +x right, +y up.

Static diagram of a block initially at rest. Tension is a prescribed force.

Anonymous

Results

Weight (Fx, Fy) N: 0.0000, -19.6200
Normal (Fx, Fy) N: 0.0000, 19.6200
Applied (Fx, Fy) N: 10.0000, 0.0000
Friction (Fx, Fy) N: 0.0000, 0.0000
Tension (Fx, Fy) N: 0.0000, 0.0000
Net Fx (N): 10.0000
Net Fy (N): 0.0000
Resultant magnitude (N): 10.0000
Acceleration x (m/s²): 5.0000
Acceleration y (m/s²): 0.0000
Acceleration magnitude (m/s²): 5.0000
Resultant angle (°): 0.0000

Formula Info

\begin{aligned}\sum\vec F&=m\vec a\\W&=mg\\N&=\max(0,mg-F_{ext,y})\\|f_s|&\le\mu N\\\vec T&=T(\cos\alpha,\sin\alpha)\\F_x&=F\cos\theta\\F_y&=F\sin\theta\\R&=\sqrt{F_x^2+F_y^2}\\\phi&=\operatorname{atan2}(F_y,F_x)\end{aligned}

Normal force balances vertical loading while contact remains. An upward pull greater than weight causes lift-off.

At rest, friction opposes the horizontal driving force and balances it up to μN. Above that limit, the net force gives the initial acceleration. No motion is simulated.

Tension magnitude and angle are inputs; rope constraints are not solved. Zero resultant has no direction.

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