### The co-efficient of friction mu can be determined in an experiment by measuring the force F required to move a mass m. when F is measured and m is known the coefficient of friction can be calculated by mu=F/mg (g=9.81 m/sec2) results from measuring F in six tests are given in the table below. Determine the coefficient of friction in each test, and average from all tests.

Problem:
The co-efficient of friction mu can be determined in an experiment by measuring the force F required to move a mass m. when F is measured and m is known the coefficient of friction can be calculated by mu=F/mg (g=9.81 m/sec2) results from measuring F in six tests are given in the table below. Determine the coefficient of friction in each test, and average from all tests.

 Test # 1 2 3 4 5 6 Mass m-kg 2 4 5 10 20 50 Force F -N 12.5 23.5 30 61 117 294

USING MATLAB SOFTWARE

SOLUTION:

%IN COMMAND WINDOW

>> m=[2 3 5 10 20 50];
>>  f=[12.5 23.5 50 61 117 294];
>>  mu=f./(m*9.8)

mu =

0.6378    0.7993    1.0204    0.6224    0.5969    0.6000

>> mu_avg=mean(mu)

mu_avg =

0.7128