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Two readings are not enough to draw a valid conclusion.
Take more readings and plot a graph to confirm the relationship.
Parallax error when measuring [specific length, e.g., the length of a wire / height of a mass].
Use a fiducial marker (like a pointer or pin) or ensure the ruler is clamped right next to the object to read at eye level.
Hard to judge when the [object] reaches the max height / lowest point of its swing.
Use a video camera with a slow-motion playback feature alongside a scale to freeze-frame the exact peak.
Ruler / Newton meter is not perfectly vertical or horizontal (misalignment).
Use a spirit level or plumb line to check and adjust alignment.
The object/string is not perfectly parallel to the scale.
Use a set square against the bench to ensure perpendicular alignment.
Human reaction time causes significant uncertainty when timing [specific event, e.g., a short drop /one oscillation].
Use a video camera with a frame counter/time-stamp to analyze the motion frame-by-frame, OR use light gates connected to a data logger.
Oscillations die out too quickly to time multiple periods.
Use a heavier mass / more aerodynamic shape to reduce air damping, or time fewer oscillations using a video recording.
Hard to judge the exact start/end of an oscillation.
Place a marker at the center of the equilibrium position and start/stop the timer exactly as the object passes it.
Wire / string slips when masses are added or during oscillations.
Secure the wire firmly between two wooden blocks clamped together in a vice.
Mass of the string/spring is not negligible compared to the added masses.
Measure the mass of the string using a digital balance and account for it in calculations.
Diameter of the cylinder/object is not uniform.
Measure the diameter at multiple positions and different orientations using a micrometer screw gauge and calculate an average.
The spring/wire stretches permanently (exceeds elastic limit) during the experiment.
Check the original unloaded length before and after each trial to ensure it returns to its baseline.
Apparatus wobbles / moves on the bench when forces are applied or when oscillating.
Clamp the retort stand securely to the bench using a G-clamp or heavy bench weights.
Friction at the pivot / pulley affects the force readings.
Apply a lubricant (e.g., oil or graphite) to the axle, or use a low-friction ball-bearing pulley.