Lab-Report-

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Feb 20, 2024

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Physic Lab Report Title: Rotational Static Equilibrium - Forces on a Strut Lab Number and Title: Lab 121: Name: Date and Experiment: 04/20/2023 Date of Report Submission: 04/27/2023 Course & Section Number : PHYS 111A-002 Instructor’s Name: Bhairavi Apte 1. Introduction: 1.1 Objectives  To obtain a better understanding of torque and the conditions for rotational static equilibrium.  To determine the tension on the supporting string in a strut system by applying the conditions of rotational equilibrium in the system. 1.2 Theoretical Background  You are trying to loosen a bolt by using a wrench as shown in Figure 1. The wrench is 30 cm long, and you are exerting a 10 N force at the end of the wrench at 45° with the handle. What is the magnitude of the torque about the center of the bolt? Let's try to solve this problem.  By definition torque (r) is a vector product of distance r and applied force F. In Figure 1, O is the axis of rotation and P is the point to which the force F is applied.  As shown in Figure 2, a 1 m-steel rod with 1 kg weight is supported by a string 0.5 m from the frictionless pivot point. A 2 kg-block is hanging from the rod at a distance 0.7 m. The supporting string makes an angle 450 with the rod. What is the tension of the string to maintain the static equilibrium? To solve this problem, we can use the conditions of rotational static equilibrium.  When a body is in rotational static equilibrium like in Figure 2, the sum of all the torques, which is net torque (Inct) acting on the body about any point, O, must be zero, that is:  clockwise direction. Can you solve the above problem to find the tension of the string using the rotational equilibrium condition? In this lab, you will learn how to solve this kind of problem in order to find the tension of the supporting string and compare it with experimentally measured value. 2 Experimental Procedure 1. Measure L1, L2, L3 and L, and record the values in Data Table I. Also record the weight of the aluminum rod of the strut. 2. To keep 0, =0°, O, has to be a certain value. Measure and record the value of 01. 3. Given W, and W, calculate the tension W in the supporting string that could keep the strut in a horizontal position. Show your calculations with a clear FBD. 4. With help of the force sensor, measure the tension of the supporting string necessary to maintain equilibrium. 5. Compare your experimental results with the calculations. 2. Result 3.1 Experimental Data

Physic Lab Report Table 1 Weight of strut (AI rod) = 113.69 L= 58cm W1= 50g L1=32 W2=50g L2=47 L3=42 Tension Calculated: 2.41 Tension Measured: 2.1 Table 2 Weight of strut (AI rod) = 113.69 L= 58cm W1= 50g L1=32 W2=50g L2=47 L3=42 Tension Calculated: 2.121 Tension Measured: 1.58 Table 3 Weight of strut (AI rod) = 113.69 L= 58cm W1= 50g L1=32 W2=50g L2=47 L3=42 Tension Calculated: 2.12 Tension Measured: 1.58

Physic Lab Report 3.2 Calculation 3. ANALYSIS and Discussion 4. Conclusions the experiment on rotational static equilibrium and forces on a strut yielded valuable insights into the behavior of struts under various applied forces and moments. Through careful analysis and observation, it was determined that the strut remained in rotational static equilibrium, with the sum of torques acting on it being zero. The external forces and moments applied to the strut resulted in internal forces, including axial forces, shear forces, and bending moments, distributed along its length. These internal forces caused deformation and induced stresses within the material of the strut. The experiment successfully demonstrated the principles of rotational static equilibrium and highlighted the relationship between the applied forces, internal forces, and reaction forces at the supports. By evaluating the accuracy of the results and identifying sources of error, this experiment provides a solid foundation for understanding the mechanics of struts and their behavior in static equilibrium. Further improvements and refinements in experimental procedures can enhance the precision and reliability of future investigations in this field.

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