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Case three: the angled boom Weight of hanging object: 350g Location of hanging object: 63cm Angle of the boom: 30 degrees Weight of the stick: 100g Center of mass of the stick: 50 cm Location of string: 88cm Measured tension: 2N Please provide equations and calculations

Case three: the angled boom Weight of hanging object: 350g Location of hanging object: 63cm Angle of the boom: 30 degrees Weight of the stick: 100g Center of mass of the stick: 50 cm Location of string: 88cm Measured tension: 2N Please provide equations and calculations

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Case three: the angled boom Weight of hanging object: 350g Location of hanging object: 63cm Angle of the boom: 30 degrees Weight of the stick: 100g Center of mass of the stick: 50 cm Location of string: 88cm Measured tension: 2N Please provide equations and calculations
The three conditions of static equilibrium are: Lesson 12 Lab: Static Equilibrium ● ● Introduction ● Materials In words, the sum of all the forces acting in the x-direction is zero; the sum of all the forces acting in the y-direction is zero; and the sum of all the torques is zero. Introduction In this experiment, we will verify the static equilibrium conditions by re-creating three static equilibrium word problems. The choice of force magnitudes, points of application and angles will be a matter of personal choice. The goal is to calculate all forces for each system and compare the results to measured values. Data Collection... Statics Report Sheet (Download and print) A meter stick or yardstick A 5.0 N spring scale Case 1 Example 1 ΣF = 0 ΣF, = 0 ΣΤ = 0 ● String Three objects with masses between 100-500 grams A ruler and protractor Conclusions Materials Data Collection and Analysis Case 1: Traffic Light A traffic light is hanging from two wires set at known angles. What is the magnitude of the tension in each wire? Set up this system based on the figure. Hang an object of known mass from the center of a meter-long string with loops on both ends for attaching the spring scale. It may be easier to tie a second shorter string to the center of the first string and tie the object to the short string. Hold the long string in such a way that two different angles, 0₁ and 0₂, are formed. It may be helpful to have an assistant, or tie one end of the string to a fixed object. Show All
Transcribed Image Text:The three conditions of static equilibrium are: Lesson 12 Lab: Static Equilibrium ● ● Introduction ● Materials In words, the sum of all the forces acting in the x-direction is zero; the sum of all the forces acting in the y-direction is zero; and the sum of all the torques is zero. Introduction In this experiment, we will verify the static equilibrium conditions by re-creating three static equilibrium word problems. The choice of force magnitudes, points of application and angles will be a matter of personal choice. The goal is to calculate all forces for each system and compare the results to measured values. Data Collection... Statics Report Sheet (Download and print) A meter stick or yardstick A 5.0 N spring scale Case 1 Example 1 ΣF = 0 ΣF, = 0 ΣΤ = 0 ● String Three objects with masses between 100-500 grams A ruler and protractor Conclusions Materials Data Collection and Analysis Case 1: Traffic Light A traffic light is hanging from two wires set at known angles. What is the magnitude of the tension in each wire? Set up this system based on the figure. Hang an object of known mass from the center of a meter-long string with loops on both ends for attaching the spring scale. It may be easier to tie a second shorter string to the center of the first string and tie the object to the short string. Hold the long string in such a way that two different angles, 0₁ and 0₂, are formed. It may be helpful to have an assistant, or tie one end of the string to a fixed object. Show All
Case 3: The Angled Boom A crate is hanging from a boom set at a certain angle and held in place by a horizontal cable. What is the tension in the cable? Set up this system based on the figure. Tie a string about 50 cm long (the 'cable') from a point on a meter stick around 5 cm from the end. The other end of each string should have a loop in it for attaching the spring scale. Hang a mass from a short string tied to some point on a meter stick (the green block in the figure). Anchor the pivot point of the stick (the lower end on the left side of the figure) to a flat surface. Hold the longer string horizontally and choose an angle 8. Angles of 30, 60 or 45 degrees can make the calculations easier. Case 3 Example1 ca-Co An experimental example of the angled boom word problem. Record the distances to the two attachment points from the pivot point, as well as the mass of the hanging object and the angle of the stick on the Report Sheet. Solve for the tension in the horizontal string. Case 3 Example 2 You can set the system down while you are doing this, or you can immediately measure the tension in the horizontal string before doing the calculation. In either case, when measuring the tension make sure the string is horizontal and the angle of the stick is the same as in the original position. Show All Attach the spring scale to the loop in the horizontal string and record the tension on the Report Sheet. Compare the calculated tension with the experimental value measured by the spring scale. An experimental example of the angled boom word problem with spring scale added. Note: Choose the pivot point at the base as the center of torque when calculating the tension in the string. Show All
Transcribed Image Text:Case 3: The Angled Boom A crate is hanging from a boom set at a certain angle and held in place by a horizontal cable. What is the tension in the cable? Set up this system based on the figure. Tie a string about 50 cm long (the 'cable') from a point on a meter stick around 5 cm from the end. The other end of each string should have a loop in it for attaching the spring scale. Hang a mass from a short string tied to some point on a meter stick (the green block in the figure). Anchor the pivot point of the stick (the lower end on the left side of the figure) to a flat surface. Hold the longer string horizontally and choose an angle 8. Angles of 30, 60 or 45 degrees can make the calculations easier. Case 3 Example1 ca-Co An experimental example of the angled boom word problem. Record the distances to the two attachment points from the pivot point, as well as the mass of the hanging object and the angle of the stick on the Report Sheet. Solve for the tension in the horizontal string. Case 3 Example 2 You can set the system down while you are doing this, or you can immediately measure the tension in the horizontal string before doing the calculation. In either case, when measuring the tension make sure the string is horizontal and the angle of the stick is the same as in the original position. Show All Attach the spring scale to the loop in the horizontal string and record the tension on the Report Sheet. Compare the calculated tension with the experimental value measured by the spring scale. An experimental example of the angled boom word problem with spring scale added. Note: Choose the pivot point at the base as the center of torque when calculating the tension in the string. Show All
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