ࡱ> 9;8~{ "bjbjzz 4^q     8Vl[%0V(   $$$$$$$$&=)h% %    %^#^#^#Z    $^#$^#^#^# pqQZ^#$+%0[%^#)p>)^#) ^#hZU@^#4%% [%) :  San Diego Mesa College Name_________________________ Physics 100 Lab Report Date __________Time___________ Partners______________________ TITLE: Torque and Static Equilibrium ______________________________ ______________________________ ______________________________ Objective: To apply the conditions of static equilibrium to calculate unknown torques, masses, forces, and positions Theory: An object that does not have a linear or angular acceleration is in equilibrium. If additionally, the object does not move, it is in static equilibrium. The net force and the velocity in any direction are zero. The net torque around any pivot point and the angular velocity are zero. The torques magnitude is equal to the product of the force times the lever arm. The lever arm is the perpendicular distance of the line of force with respect to the pivot point. EMBED Equation.3 = fl For this lab all the forces will be vertical such that the lever arm will be the horizontal distance from the force to the pivot. The force of gravity or the weight force of an extended body (a meter stick) acts as if all the mass is concentrated at its center of mass. This center of mass position will be used to calculate any torque associated with the force of gravity. Equipment: Uniform Meter stick Meter stick with weights inside Hanging Mass Set Fulcrum Clips and Hangers Draw a force diagram below indicating the positions of the fulcrum, the force of gravity on the meter stick, and the hanging weight. Part I. Procedure: Attach a clip to the uniformly dense meter stick and tighten it at a place far from the 50.0 cm mark at a convenient location (30.0cm) Place the meter stick with clip on the fulcrum. Attach a second clip with a hanger to the meter stick. Hang a 0.100kg mass on the hanger. Adjust the position of the hanging mass by sliding the mass and clip until the meter stick is balanced. Record the positions of the pivot (fulcrum) and the hanging mass. Mass the meter stick using the electronic balance and record its value. Data: Position of fulcrum  mPosition of the 0.100kg mass  m  Mass of the hanger kg Distance of hanging mass to fulcrum mSmaller hanger massMass of the meter stick Calculations: You may use g = 10.0N/kg Distance of hanging mass to fulcrum = lEMBED Equation.3 Torque due to hanging mass with respect to fulcrum = (0.100kg + mEMBED Equation.3) glEMBED Equation.3= EMBED Equation.3 Distance from the center of mass of the meter stick to the fulcrum = lEMBED Equation.3 Since the two torques are equal, we can calculate the mass of the ruler. mEMBED Equation.3glEMBED Equation.3= EMBED Equation.3 = EMBED Equation.3 thus, mEMBED Equation.3 = EMBED Equation.3/glEMBED Equation.3 = Calculate the % difference between the electronically measured meter stick mass and the calculated mass. Calculate the force that the fulcrum applies to the system. Part II. PROCEDURE: Replace the uniformly dense meter stick with a weighted meter stick. Determine the new meter sticks mass on the electronic balance and record its value. Attach a clip to the new meter stick at 35.0cm and place it on the fulcrum. The new meter stick should not balance. Place a second clip with a hanger as in part I. on the new meter stick. Attach a 0.100kg mass to the hanger. Slide the clip containing the hanger and mass until a balance position is located. Tighten the second clip and record the position of the hanging mass and the position of the fulcrum (35.0cm). After calculating the center of mass position of your weighted meter stick, remove the hanging mass and clip, and locate the balance position of your weighted stick. Record this balance position in the data section. Draw another force diagram below is in part1. Data: Position of fulcrum 0.350m  Position of the hanging mass XEMBED Equation.3 m  Mass of the hanger mEMBED Equation.3 kg  Mass of the weighted meter stick kg Balance position of weighted meter stick  XEMBED Equation.3 = m Calculations: Calculate the distance of hanging mass from fulcrum below. Calculate the torque due to hanging mass plus hanger with respect to fulcrum below. EMBED Equation.3 = (MEMBED Equation.3 + 0.100kg) g (0.350m- XEMBED Equation.3) Torque due to the Center of mass position of the weighted meter stick meter equals the torque due to the hanging mass plus hanger. Thus; EMBED Equation.3 = EMBED Equation.3 = (Mstick) g (Xcm - .350m) Solving for the center of mass position of the weighted meter stick yields: Xcm = 0.350m + [  EMBED Equation.3 /(M EMBED Equation.3 )(g) ] Calculate the center of mass of the meter stick below. 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