Experiment 2
The Addition of Vectors
In this experiment a force table is used experimentally to determine the magnitude and direction of a fourth force that is necessary to effect static equilibrium when three known forces act on a light ring. The reliability of the data is investigated, and the experimental values are compared to theoretical values.
Theory
According to Newton 's First Law of Motion, a particle is considered to be in static equilibrium when the vector sum of all the forces acting on the particle equals zero:
This is referred to as the First Condition of Equilibrium. A stationary particle corresponds to this situation. In two dimensions, (1) can be expressed as and That is, the sum of all the
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Clamp the fourth pulley at this angular position, pass the string over the pulley, and attach the fourth weight hanger.
5) Determine the mass that will achieve equilibrium by adding mass to the fourth weight hanger until the minimum amount necessary to center the ring is found. A method of accomplishing this is to hold the ring so that it is centered around the pin and add mass to the fourth weight hanger that is close to but less than the minimum mass needed to achieve equilibrium. When the ring is released, the ring will move away from the weight hanger. Center the ring again and add small increments of mass until the ring does not move. Record this value as m4min. Carefully continue to add mass until the maximum amount is found that will maintain the ring in its centered position. Record this value as m4max.
The best value of m4 is the average: 6) Use (4) to compute m4 and place this amount of mass on the fourth string. Check that the ring is centered.
7) Loosen the fourth clamp pulley and carefully move the clamp in a clockwise direction until the minimum angle is found that will maintain the ring in its centered position. Record this value as 4. Repeat in the
Loosen the retaining screw and adjust the horizontal arm to the dimple that produce the 2nd largest radius between the spinning mass and the rotating shift. Allow the spinning mass to hang straight down, without being connected to the spring. Position the pointer directly below the tip of spinning mass and secure the pointer to the base. Use the scale located on the base to determine the radius, r, of the pointer from the rotating shaft. Record this value onto Data Sheet A. The experimental uncertainty in r is estimated to be the width of the spinning mass tip – approximately 0.2 cm.
6. Tie a loop at the loose end of the string and attach the string to the spring
back of the d-ring on the cinch. Pull the cinch up and then wrap the leather piece through the front of
First, we will set up the force table. The table comes in three separate pieces the base, stand and table once we connect and fasten all three parts we must use a circular level to make sure the table is balanced. If the force table isn’t balanced then we must adjust the base’s feet to the appropriate levels on each leg till the bubble on the level is centered. We must then assign where the positive & negative x, y axis are on the force table as a point of reference and label them with tape .Then for part I we must apply 1.96 N in the positive x – direction, and 2.94 N in the positive y-direction then we must balance the two with a third force and record the magnitude and direction of it and a draw a diagram showing all three forces. Part II
12. Place the magnet on the scale to measure the mass of the object. Record the mass in Data Table 5.
When the environment is in equilibrium, it has a minimum potential energy (mgz) and a zero speed (v=0), so kinetic and potential energy changes are omitted and it reduced to Eq. 3.
13) When the tray is thoroughly dry, determine its mass. Record the mass in the data table. You have to wait until day three to weigh the copper.
Repeat this at the same setting 1 more time to find an average. At the same angle, choose a second setting of force and repeat the process. Follow this procedure using different angles.
Written in the early 1950’s ‘The Crucible’ by Arthur Miller is a homage to Salem 1692, where numerous villagers were accused and hanged for witchcraft. The play explores key thematic concerns of morality, religion and life. The related text ‘Homecoming’ written by Bruce Dawe in 1968 is an anti-war poem protesting Australia's involvement in the Vietnam War during the 1960s. It explores the brutal and futile nature of war, death and a collective stance against authority. Through the use of numerous literary and dramatic devices both composer’s highlight the relationship between individuals and politics and the impact of one’s choices to stress to audiences the necessity of understanding the composers point of view so one can effectively determine the nature and abuse of power.
Dynamic Equilibrium: Two offsetting processes occur at equal rates, producing a state of balance where no net changes is observed.
Purpose: The purpose of the practical is to find how mass affects acceleration and how it affects also the force of the accelerating body. To do this we are going to do the ticker tape experiment where an accelerating body pulls a tape through a consistent 50 dot per second ticker timer. The acceleration body in this experiment will be a small trolley pulled by a string that is pulled by the downfall of different masses which will then tell how mass affects acceleration.
Place the ring stand in an area that allows up to a 150cm length of string for the pendulum to move without any obstructions.
Below are two tables in which I have recorded the data which I obtained during the experiment. The first table reflects the Relationship between the deflection/flexion of the cantilever and the mass of the load and the second table reflects the relationship between the flexion of the cantilever and the length of the cantilever.
Following tables and graphs show the result of the experiment. The tables will demonstrate the experimental and theoretical deflection for each case. The graphs will show the relationship between the load applied and deflection, in addition to compare the experimental deflection and theoretical deflection.
For this method the ring should be centered over the post when the system is in equilibrium. So we tack the center post down so it will flush with the top surface of the force table and it will be no longer comptent to hold the ring in the position. We also pulled the ring slightly to the one side and release it to enable to inspect that the ring returns to the center. Then if not, adjust the mass or/and the angle of the pulley until the ring constantly returns to the center when it is pulled slightly to one side.