You have been provided with a retort stand, clamp and boss, a set of masses, a spiral spring, stop watch, split cork and other necessary apparatus. Using the diagram as above as a guide, carry out the following experiment;
I. Suspend the spiral spring vertically as show in the diagram.
II. Suspend a mass hanger on the free end of the spiral spring and add a mass , M = 40g
III. Pull the hanger gently downwards and release to set it into vertical oscillations.
IV. Determine the time, t, for 20 complete oscillations
V. Evaluate the period,T, for the oscillation. Also evaluate, T2.
VI. Repeat the procedure for four other values of m = 60g,80g, 100g and 120g. in each case, determine t and evaluate T and T2 . tabulate your readings .
VII. Plot a graph of M on the vertical axis against T2 on the horizontal axis, of the graph and
VIII. Determine the slope, s, of the graph and the the intercept, I, on the vertical axis.
IX. Evaluate k =4∏2S, take ∏ =22/7
X. State two precautions taken to ensure accurate results.
XI. State three characteristics of oscillatory body
XII. State examples of body exhibiting oscillatory motion
S/N | M (g) | Time for 20 oscillations | t# = t1 + t2/2 (s) | T = t#/20 (s) | T2 (S2) | |
t1 (s) | t2 (s) | |||||
1 | 40.0 | 9.85 | 9.75 | 9.80 | 0.49 | 0.24 |
2 | 60.0 | 12.23 | 11.77 | 12.00 | 0.60 | 0.36 |
3 | 80.0 | 13.43 | 14.17 | 13.80 | 0.69 | 0.48 |
4 | 100.0 | 15.50 | 15.30 | 15.40 | 0.77 | 0.59 |
5 | 120 | 16.70 | 16.90 | 16.80 | 0.84 | 0.71 |
Determine the slope, S.
Change in M/change in T2 = 101-30/0.6 -0.24
= 71/0.36 = 197.2g/s2
Evaluate k =4∏2S
4x( 22/7)2 x 197.2 = 7791g/s2
State two precautions taken to ensure accurate results.
* I ensured steady oscillation befpre timing
*I maintained small amplitude of oscillation for each
State three characteristics of oscillatory body
It has amplitude
It is a to and fro movement
State two examples of body exhibiting oscillatory motion
A loaded test tube on water
Simple pendulum
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