# Experiment 4 addition of forces and

Calculate the resultant vector angle using the inverse tangent. Fix the two pulleys at the given angles and add masses as implied in the first set. The last vector ends where the first vector began such that there is no resultant vector. Record the magnitude E and the direction qE. Thus if an object remains at rest under the action of several forces, one of the forces will be the equilibrant of the all the remaining forces. Figure 4: Representing components of a vector In Fig. Remove the added Dm and return to mass E. Attach a Fixed Pulley directly across from Force Sensor. A top view showing the magnitude and direction of each of the five individual forces is shown in the diagram at the right. The negative of a vector A is a vector of the same length but with a direction opposite to that of A. In this lab we will use a force table to determine the resultant of two or more force vectors and learn to add vectors using graphical as well as analytical methods.

Figure 2: Graphical representation of a vector Components of Vectors An important technique when working with vectors mathematically is to break them down into their x and y components. The calculated and measured values should be equal in magnitude but opposite in direction.

## Experiment 4 addition of forces and

Use a scaled vector diagram to determine the net force acting upon the polar bear. In this case, we know the speed of the car to be 60 mph. Set the Sample Rate located in the mid right bottom tool menu of Capstone to Hz 1. You should see it displayed on Capstone's digits display. From the head of the vector draw a line perpendicular to the x-axis and a second line perpendicular to the y-axis. A scalar has only magnitude while a vector has both magnitude and direction. Fix the two pulleys at the given angles and add masses as implied in the first set. In Capstone, click Record. Figure 3: Breaking a vector into x and y components Note that the green and red lines in the diagram above form two sides of a rectangle with the vector as the diagonal of the rectangle. See Fig. In this case the velocity of the car is 60 mph due east and this is a vector quantity. If this doesn't work, you may email the completed report directly to a lab TA. Click Next and verify that the Live Values are different. Now we will see how that method applies to situations involving the addition of force vectors.

The net force is In this case the velocity of the car is 60 mph due east and this is a vector quantity. Forces perpendicular to the plane of the force board are typically ignored in the analysis. Call over a TA or instructor and explain your conclusion to them. Concept Checkpoint 1: Discuss with your partner why calibration is necessary. Next go to Force Properties and increase the number of decimal places under Numerical Format. Attach a Fixed Pulley directly across from Force Sensor.

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