Static Equlibrium - Lab Report Example

Static Equilibrium and Rotational Balance Results Static Equilibrium Mass Mass (kg) Force # Force (N) Position (m)M10.1F10.9810.152m20.2F21.9620.197m30.5F34.9050.702m40.17278F41.6950.5F5-4.2310.1F6-4.2550.9Torque Calculation TableLever Arm (m) Axis at x=0mTorque (N.m) Axis at x=0mLever Arm (m) Axis at x=0.5mTorque (N.m) Axis at x=0.5mF10.1520.149112-0.348-0.341388F20.1970.386514-0.303-0.594486F30.7023.443310.2020.99081F40.50.847485900F50.1-0.4231-0.41.6924F60.9-3.82950.4-1.702Sum of + torques4.82642192.68321Sum of - torques-4.2526-2.637874%diff between + and -12.640610551.704013693Sum of all torques0.57382190.045336Sample calculation of torqueTorque is given by Thus in this case for mass m1, torque was calculated as=Percentage differences in part 1 for x=0Rotational BalanceRunΘ theoryM (kg)m min (kg)m max (kg)m average (kg)σmΘ expσΘ1100.2520.0720.090.0810.0097.215630.

7993052150.2520.130.150.140.0111.090051.2376683200.2520.240.2550.24750.007516.004681.811712The Values of and were calculated using the formulas below in excelThe values are as recorded in the table below.Θ maxΘ min18.0476136.449004212.379849.904508317.8970914.27366ConclusionFor the theorem of static equilibrium to occur, the net force and the net torque must both be equal to zero. In this case, the algebraic sum of the net force acting on the meter stick, according to the results, is not equal to zero (Hernández).

Also, the algebraic sum of the net toques is not equal to zero. This is not as expected. The faulty results may have arisen due to positioning of the carriage that resulted in directional positioning errors, errors due to taking readings, and finally tensional errors. Also, this could be due to the meter stick balance clamp being mis–oriented by tightening the screws pointing in upper direction resulting in an unstable system that won’t balance as required, measuring the mass of the meter with clamps, or forgetting to include the mass of the clamp and its weight hunger when calculating the torque.

To more accurately get the results, some adjustments have to be made on the system. Additional loosening of the lines and developing of further theoretical techniques that will enable calculating and system design.BibliographyHernández, Cecilia. Physics Laboratory Experiments. Cengage Learning, 2009.