Lab 121

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New Jersey Institute Of Technology *

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111A

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Mechanical Engineering

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Dec 6, 2023

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Physics Laboratory Report Lab number and Title: Lab 121: Rotational Static Equilibrium — Forces on a Strut Name: Satyam Poonith Group ID: 6 Date of Experiment: 12/06/2022 Date of Report Submission: 12/13/2022 Course & Section Number: PHYS 111A031 Instructor’s Name: Punyakanthi Thilakaratne Partners’ Names: Anthony Qassis, Daniel Montoya, Ronnie Carrasco Ovalle 1. INTRODUCTION 1.1 Objectives The objective of this laboratory experiment is to gain a better understanding of toque in the context of rotational static equilibrium. Additionally, by using our knowledge of rotational equilibrium of a system, we will determine the tension of a string on a strut system. 1.2 Theoretical Background Torque is a vector product of distance and force Magnitude of torque : τ = rFsinΘ The sum of all the torque of a body in rotational static equilibrium is 0 ( τ = 0). This means that the sum of all the torque should equal the sum of all the torque in the clockwise direction. 2. EXPERIMENTAL PROCEDURE The procedure used in the laboratory experiment was followed by the PowerPoint and the Laboratory manual and no change was made. Experimental Setup: Experiment Equipment

Part 1 Setup Part 3 Setup 3. RESULTS 3.1 Experimental Data Table I Weight of Strut (AI Rod) = 113.5g L = 57.7cm c = 50° W 1 = 100.0g L 1 = 32.8cm Θ 2 = 0° W 2 = 100.2g L 2 = 43cm L 3 = 53cm Tension Calculated = 2.6N Tension Measured = 2.9N Table II Weight of Strut (AI Rod) = 113.5g L = 57.7cm Θ 1 = 50° W 1 = 100.0g L 1 = 32.8cm Θ 2 = 43° W 2 = 100.2g L 2 = 43cm L 3 = 53cm Tension Calculated = 1.9N Tension Measured = 2.41N Table III Weight of Strut (AI Rod) = 113.5g L = 57.7cm Θ 1 = 59° W 1 = 100.0g L 1 = 32.8cm Θ 2 = -20° W 2 = 100.2g L 2 = 43cm L 3 = 53cm Tension Calculated = 2.2N Tension Measured = 3.84N

The image on the left is the mean force calculated through the PASCO software 3.2 Calculations T = L 1 m 1 gsin(90- Θ 2 )+ L 2 m 2 gsin(90- Θ 2 )+L/2m r gsin(90- Θ 2 )/L 3 sin( Θ 1 ) T 1 = (0.328*0.1*9.81*sin(90-0))+ (0.43*0.1002*9.81sin(90-0))+ ((0.577/2)*0.1135*9.81sin(90-0)/)(0.53*sin(50))) = 2.6N T 2 = (0.328*0.1*9.81*sin(90-43))+ (0.43*0.1002*9.81sin(90-43))+ ((0.577/2)*0.1135*9.81sin(90-43)/)(0.53*sin(50))) = 1.9N T 3 = (0.328*0.1*9.81*sin(90-(-20))+ (0.43*0.1002*9.81sin(90-(-20))+ ((0.577/2)*0.1135*9.81sin(90-(-20))/)(0.53*sin(59))) = 2.2N 4. DISCUSSION I believe that our group met the objective as we have furthered our understanding of finding values for tension in the strut system. The results were expected, as our percentage difference from our calculated and measured were similar. The slight difference in values with the calculated and

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measured value could be due to the lack of preciseness when measuring as human error could affect when measuring the angle or lengths. Additionally, the environment where the experiment took place was very open where other groups were moving around, which could affect the values when getting the measured value. 5. CONCLUSTION In this laboratory experiment, our group determined the tension of a cord on a strut system by applying our knowledge of rotation equilibrium in our calculations. Additionally, this experiment has helped reinforce our knowledge of the condition s of rotational equilibrium in a system.