PP+ Force Vector Addition vs ControlsLab

The Addition of Force Vectors lab uses a force table to investigate the vector addition of forces. It is part of Polyhedron Physics Plus, a set of 24 iPad apps for use in the classroom. To see how they work, try the FREE PP+ Newton’s 2nd Law lab. For those who’d prefer to develop their own experiments, the PP Force Table app features a similar apparatus without lab procedures and other supporting materials. In addition to a 3D simulation that produces realistic data, each lab includes introductory videos, background theory, experimental procedure, analysis and reporting tools, pre-lab quiz, post-lab questions, and teacher support materials. The experimental data produced by the simulations are realistic, including random and systematic errors. These features allow students to use standard data analysis and error analysis techniques to report on their own unique data, just as if the experiment had been performed using hands-on equipment. These labs can serve as replacements for hands-on labs, especially when equipment is not available, or as supplements to hands-on labs. They are also a suitable option for students in distance learning and home school situations. Formative and summative evaluations showed no significant difference in learning between students using the virtual labs and those using hands-on labs. Preliminary results suggest increased learning by students using the virtual labs as supplements to hands-on. Polyhedron Physics was developed by Polyhedron Learning Media, Inc. with partial funding provided under contract numbers ED-07-CO-0040 and ED-IES-11-C-0029 from the Institute of Education Sciences in the U.S. Department of Education through the Small Business Innovation Research (SBIR) program.

ControlsLab is a professional-grade system dynamics and controls simulator designed for engineering students, educators, and practicing engineers. Simulate a mass-spring-damper system in real time. Adjust parameters with intuitive sliders and instantly see how the system responds - no coding required, no MATLAB license needed. FREE FEATURES SYSTEM SIMULATION - Mass, damping, and spring parameter control - Step, ramp, parabolic, and sinusoidal inputs - Adjustable initial conditions x(0) and dx(0) - Input signal overlay on time response plot VISUALIZATION - Live time-domain response plot - S-plane pole visualization - System stability classification - Overdamped, underdamped, critically damped detection ANALYSIS MODES - Open-loop mode: plant driven directly by input - Closed-loop mode: negative feedback with configurable setpoint PRO FEATURES - $4.99 One-time purchase, no subscription PID CONTROLLER - Full negative feedback implementation - P, PI, PD, and PID controller types - Live Kp, Ki, Kd gain tuning with instant response - Adjustable reference setpoint FREQUENCY DOMAIN - Bode plot: magnitude (dB) and phase (degrees) - Logarithmic frequency axis - Natural frequency, damping ratio, and bandwidth readouts WHO IS THIS FOR? - Undergraduate engineering students studying dynamic systems and feedback control - Graduate students reviewing control theory - Professors and educators demonstrating system behavior in lectures - Practicing engineers doing quick back-of-envelope system analysis - Anyone curious about how control systems work ControlsLab turns abstract differential equations into visual, interactive experiences. Move a slider and watch poles migrate across the S-plane. Toggle a controller and see overshoot disappear in real time. No prior programming experience required.