Was able to find the static and kinetic coefficients using two separate experime

Question

Was able to find the static and kinetic coefficients using two separate experiments. The first experiment involved three separate trials of lifting one end of a board with a block resting on top of it until the block overcame the static friction and slid down. Then I calculated the tangent of the angle measured when the block overcame the static friction to get the static friction coefficient. Then I lifted plane again but tapped on the block to get it moving at a constant speed to get the kinetic coefficient by taking the tangent of the angle created between the plane and the table. The kinetic coefficient was smaller than the static coefficient as it should be. In the second experiment, I calculated the kinetic coefficient again by finding the masses that allowed a block to slide up and down an incline of 35 degrees at a constant speed. I compared this kinetic coefficient with the one I found in the first experiment to find that they were within 3.5% difference of each other.

Explanation / Answer

I calcucated Kinetic and static friction coefficents using two methods. Here are the below

Method 1:

1) Lift up the mass through a incline, and calculate the angle upto it falls. This will be static friction coeff.

2) Allow the mass through a constant velocity and, this wlll be kinetic friction coeff.

3) Repeat the experiment for 3 times to reduce any error and calculate values basing upon the angles.

Method 2:

1) Increase the mass at a fixed incline, and the point it moves down is static coeff.

2) The mass at which it moves down with constant velocity is Kintec coeff.

3) Calclate static & Frictional ceofficiants after 3 trails

Conclusion : Between both the methods, there is only 3.5% difference between the ceofficiants, it can be attributed to angle measurement, mass measurement of the block.

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