Moving Weight Shifts Centroid - Detector Physics: Timing and Spatial Reconstruction Step by Step

Keep the same two strip positions, then move more weight to the right strip: left weight 1 and right weight 3. With the total still 4, the centroid shifts to 7/4 meters, showing how a heavier signal pulls the reconstructed hit; measured clusters depend on gain calibration, charge sharing, thresholds, and noise.

Changing hit weights moves the centroid toward the heavier cell. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Moving weight shifts the centroid

Now the left weight is 1 and the right weight is 3.

1\times1+3\times2=7

The new centroid is seven over four meters

The same total weight 4 gives a centroid of 7 over 4 meters.

x_c=\frac{7}{4}\ \text{m}