lab 121

.pdf

School

New Jersey Institute Of Technology *

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Course

111A

Subject

Aerospace Engineering

Date

Apr 3, 2024

Type

pdf

Pages

9

Uploaded by KidAlbatross3587

1. Introduction 1.1 Objectives Gain deeper insight into the principles of rotating static equilibrium and torque. Apply rotational equilibrium conditions to determine the tension on the supporting string in a strut system. 1.2 Theoretical Background Torque is defined as the vector product of applied force � F and distance � r: � = � × � τ=r×F The magnitude of torque � τ is given by: � = � � sin � τ=rFsinθ For a body in rotational static equilibrium, the net torque � net τ net about any point � O must be zero: � net = 0 τ net
=0 This implies that the sum of all counterclockwise torques must equal the sum of all clockwise torques. This lab aims to develop problem-solving skills to determine the tension in the supporting string and compare it with experimental values. 2. Experimental Procedure Equipment List: Computer with Capstone Software 850 Universal interface Force sensor Clamps Strut system Weight hangers Pulley Rod Protractor Scale Figures: Figure 1: Strut in horizontal position Figure 2: Strut tilted up Figure 3: Strut tilted down Procedure: Measure the mass of the aluminum rod and the hanging masses. Set up the strut system as depicted in the figures, using clamps to secure it onto the desk. Attach the force sensor to the strut system and connect it to the 850 Universal Interface. Attach the hanging masses onto the strut system. Measure the length of the aluminum rod and the positions of both the hanging masses and the supporting cord. Set up the strut system in three configurations: horizontal position, tilted up, and tilted down. Use a protractor to determine the angle of the cord and strut for each setup. Use the Capstone Software to determine the tension of the cord for each setup based on the readings of the force sensor. Ensure to zero the force sensor before recording for accurate readings. Utilize the tools in the Capstone Software to find the mean tension value and record the values in the data table. Calculate the tension and compare it to the measured tension. 3. Results 3.1 Experimental Data Table 1 Weight of strut (AI rod): 1.11328g, � =
0.58 � L=0.58m Θ 1 = 45 ° Θ 1 =45°, � 1 = 0.981 W 1 =0.981, � 1 = 0.325 � L 1 =0.325m Θ 2 = 0 ° Θ 2 =0°, � 2 = 0.981 W 2
=0.981, � 2 = 0.525 � L 2 =0.525m � 3 = 0.425 � L 3 =0.425m Tension Calculated: 3.849 N, Tension Measured: 3.37 N Table 2 Weight of strut (AI rod): 1.11328g, � = 0.58 � L=0.58m Θ 1 = 56 ° Θ 1 =56°, � 1 = 0.981 W 1
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