What is the Motion Profile Generator multi-solver?

Motion Profile Generator is a guided workflow that chains 2 individual PolySim solvers into one end-to-end analysis, piping each result into the next step.

Yes. Every step runs entirely in your browser using real numerics — no install, no account, no cloud cost. Custom or private solver packs are available as a paid service.

Controls & Robotics Pack · Multi-Solver

Motion Profile Generator

Kinematics to torque. This multi-solver chains 2 solvers into a single guided workflow — run each step in order and carry the result forward.

Workflow steps

or unlock everything with Pro →

Forward Kinematics

open full solver →

Forward KinematicsLive

joint angles → end effector

Controls

Presets

Joint 1 angle (°)

Joint 2 angle (°)

Joint 3 angle (°)

Forward kinematics computes where a robot arm's tip ends up from its joint angles. Each link rotates relative to the previous one, so the transforms chain together. It is fast and unique — every set of angles gives exactly one end-effector position — which is why controllers use it constantly.

▶ Run in Python

Data Inspector

End X172.2

End Y110.4

Reach204.6

Links3

Governing equation

x = i \sum L_{i} cos (j \leq i \sum θ_{j}) = 172.2, y = i \sum L_{i} sin (j \leq i \sum θ_{j}) = 110.4

Reading this result: Reach 205 sits near the 210 maximum: the three links are nearly collinear, so the arm is almost fully extended.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

↓

DC Motor

open full solver →

DC MotorLive

step response & speed-torque

Controls

Presets

Voltage (V)

Armature resistance (Ω)

Load torque (N·m)

Motor constant Kt (N·m/A)

A DC motor speeds up until back-EMF balances the applied voltage, giving a first-order step response. Its steady speed drops linearly with load along the speed-torque line: maximum speed at no load, maximum (stall) torque at zero speed. The green dot is the operating point where motor and load torque match.

▶ Run in Python

Data Inspector

No-load speed240 rad/s

Steady speed224 rad/s

Stall torque0.30 N·m

Current draw0.4 A

Reading this result: Light load: speed stays close to the no-load value, since only a small back-EMF drop is needed to supply the torque.

Governing equation

ω = \frac{V - I R}{k _{e}} = \frac{12 - 0.4 \cdot 2}{0.05} = 224 rad/s, τ = k_{t} I = 0.020 N\cdotm

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

Need a private, branded version?

We build custom solvers and workflows for labs, firms, agencies, and courses — your parameters, your branding, your data.

Explore Custom Solver Sets →

More in the Controls & Robotics pack

Robot Arm Controller Drone Autopilot Mobile Robot Navigation Cart-Pole Control Design Servo Tuning Kit DSP Pipeline State Estimator Vibration Control

Frequently asked questions

What is the Motion Profile Generator multi-solver?: Motion Profile Generator is a guided workflow that chains 2 individual PolySim solvers into one end-to-end analysis, piping each result into the next step.
Is it free to use?: Yes. Every step runs entirely in your browser using real numerics — no install, no account, no cloud cost. Custom or private solver packs are available as a paid service.