# Write 16 pages with APA style on Rolling Cylinders. The angle was measured by the use of a clinometer. Distance traveled was measured using a light beam and light beam sensor. The following measuremen

Write 16 pages with APA style on Rolling Cylinders. The angle was measured by the use of a clinometer. Distance traveled was measured using a light beam and light beam sensor. The following measurements were made for a set of five hollow cylinders and one solid cylinder.

Time to travel certain distance ‘L’ on an inclined surface depends on the angle of inclination as reflected in table 1 and Fig.5. The time decreases with the increasing angle of the slope. This observation is in conformity with equation (8) which predicts this inverse dependence as the square root of the sine of this angle. This also comes from the common sense which will predict shorter time on a steeper incline and vice versa.

From table 2 and Fig. 6, it can be seen that time to travel is increasing, provided all other variables remain the same. This is also expected. However, this dependence is not linear, which is also in conformity with equation (8).

Time to travel certain distance L is increasing with increasing outer diameter. This is because. increasing outer diameter increases the moment of inertia and therefore, decreases the angular as well as linear acceleration. This is the reason why it takes longer to travel the same distance.

Time to travel certain distance ‘L’ shows an increasing trend with increasing inner diameter and vice versa. This is because, increasing inner diameter leads to an increased moment of inertia and therefore, a lower value of acceleration and hence a long time to travel. This effect is the same as that of outer diameter.

These experiments explicitly demonstrate that time of rolling increasing angle of slope and decreases with increasing length and an inner and outer diameter of the cylinder, while the length of the cylinder has no impact on the time of travel of a rolling cylinder on an inclined surface.

A rectangular beam clamped at one end forms a cantilever. Let us consider a cantilever beam (Fig. 1) of width (b), thickness (d) and overhang length (L).

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