Open the projector. Clean it thoroughly, using a grinding disc if necessary. Remove the shutter, motor, power supply and lamp carefully to avoid damaging the rest of the projector. Wire the power supply into the projector. Connect it to the motor. Wire your LED into the lamp. Test your connections. Adjust the LED to allow the light to pass through the lens. Test the modifications by running test film through the projector onto a screen to ensure you can see the image.
Run the test footage through the projector. Stop the motor on one frame. Place the webcam in front of the projector lens. Move it back and forth until you reach the best image possible. Remove the projector lens. Move it back and forth in front of the light until you have improved the image. Check the image to ensure it completely fills the webcam's field of view. The image should be in sharp focus and have no distortion. Note the distance from the projector to the lens and from the lens to the webcam.
Cut PVC pipe to the length between your projector and your lens, and the length between your lens and your webcam. Line up the pipes in the proper order. Test again to ensure the image is ideal. Superglue the pipe to the projector. Screw the lens into the end of the pipe. The lens threads should cut into the PVC securely. If not, superglue the edge of the lens into the pipe. Superglue the pipe to the webcam. Attach the pipe to the lens.
Connect the webcam to your computer. Open the nonlinear editing software. Go to "File" and select "Capture." Select "Configure" or "Camera," and choose "Webcam" or "USB." Click "Quick Capture," and run your test footage through your projector, which will capture the footage for you to edit at your leisure.