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DHHPhysics 2011 Lab 3. Vectors
Purpose: Verify rules for vectors addition using force table.
Apparatus: Force table with pulleys, ring and strings attached, weight hangers, set of weights.
Theory: At equilibrium, according to Newtons second law, all forces acting on the ring sum up to zero, EMBED Equation.3 , where the tension force on the string is equal to the weight hangs on the string, EMBED Equation.3 . With the magnitude and direction known, EMBED Equation.3 is complete defined. Rearrange the equilibrium condition, we obtain EMBED Equation.3 , which can be used to verify the vector addition rules by comparing the left side computed with vector addition rules to the right side.
Procedure: Variation of tension forces acting on the ring are obtained by changing the weight applied to the weight hangers and by moving the pulleys to different angles as indicated by the index marker.
Mount a pulley on the 0 mark on the force table and suspend a total of 200 grams on it. Mount a second pulley on the 90 make and suspend a total of 200 grams on it. Experimentally find the magnitude and position of a third force required to achieve equilibrium. At equilibrium, the ring moves to the center of the force table without touching the table and the center pin. Test the sensitivity of the apparatus by changing weight over the third pulley without obvious disruption from equilibrium. Record the maximum deviation. Repeat for 3 times
Mount a pulley on the 120 mark on the force table and suspend a total of 100 grams on it. Mount a second pulley on the 30 make and suspend a total of 100 grams on it. Mount a third pulley at 90 with 150 grams on it. Experimentally find the magnitude and position of a fourth force required to achieve equilibrium. At equilibrium, the ring will moves to the center of the force table without touching the table and the center pin. Test the sensitivity of the apparatus by changing weight and angle over the fourth pulley without obvious disruption from equilibrium. Record the maximum deviations for both the weights and the angles. Repeat 3 times.
Analysis:
Use the vector addition and negation rules to calculate the equilibrium force. Compare the calculated force with the equilibrium force obtained experimentally
Give the reasons for the deviations between the calculated values and experimentally measured ones. Suggest ways to improve the sensitivity of apparatus.
Table I for measurements
Trial T1 T2 T3 T4 calculated
Mag. Ang. Mag. Ang. Mag. Ang. Mag. Ang. Mag. Ang.
1
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