Experiment 3

**Vector Addition: Force Table**

__ Objective__:

The objective is to experimentally verify the * parallelogram
law of vector addition *by
using a force table

__
Equipment__:

A force table, a set of weights, a protractor, a metric ruler, a scientific calculator, and graphing paper

__Theory__:

Concurrent forces are
forces that pass through the same point**.** * Resultant
*is
a

__Procedure__:

Obtain a force
table and set it
up as
shown in the following figure with its three 50**.**0-gram weight hangers as
shown by * F_{1}*,

**Figure 1: The schematic diagram of a force table**

Observe the following points while using a force table**:**

* 1) *The
direction of the forces must be set by adjusting the strings at the
desired angles

* 2)* Each
string represents the line of action of a
force

* 3)* Each grooved collar
may be slid around the circular platform (that looks like a 360

Take the following steps for each vector addition**.** Complete
the rows of * Table 1* one
at a time

*
a)* In
each case, place weights

* The forces
that you create *by placing weights on the weight hangers act on the same
object (the ring) and

* b)* The goal is to find

**
c)*** Now*, find
the magnitude and direction of

*
d)* Calculate a %error on each of

**
Data:**

**Given: **The
magnitude and direction of * each set of vectors* to be added are given in

**Measured: **
Record your measured values in **Table
1** in the space provided**.**

**Table 1**

Trials | Given | Measured
F |
Measured R |
Calculated R |
%error | |||||||

F_{1} |
F_{2} |
|||||||||||

Magn.(gf) | Angle | Magn.(gf) | Angle | Magn.(gf) | Angle | Magn.(gf) | Angle | Magn.(gf) | Angle | on R | on θ | |

1 | 200 |
35.0 |
300 |
115 | ||||||||

2 | 150 |
130.0 |
350 |
210 | ||||||||

3 | 100 |
0.0 |
100 |
120 | ||||||||

4 | 150 |
40.0 |
150 |
-40.0 |

__Comparison of
the results__:

Provide the percent error formula used as well as the calculated values
of percent errors in this section as well as **Table 1.**

__Conclusion__:

State your conclusions of the experiment**.**

__Discussion__:

Provide a discussion if necessary**.**

__Questions__:

Include the following questions and their answers in your report**:**

1) Two
forces, one
500gf and the other 800gf, act
on a body**.** What are the maximum and minimum possible magnitudes of the
resultant force**?**

2) Could
four forces be placed in the same quadrant or in two adjacent quadrants and
still be in equilibrium**?**
Draw a sketch and explain your answer**.**

3) What is the relationship between the equilibrant vector and the resultant?