Question

3) In lab 11, you found the relationship between the force exerted by a spring and its length to determine the spring constant. You could also do this using simple harmonic motion. a. Describe an experiment you could do to find a spring constant using simple harmonic motion. What would you measure, and how would you average your measurements? b. Pretending you did the lab this way, make up reasonable measurements and compute the spring constant for those measurements.

Answer 1

To determine the spring constant we have to do an experiment by hanging mass on spring and measure the extension of the spring here is the procedure

1. Suspend the spring from a rigid support make sure that the support is rigid enough. Attach a pointer and a hook from . free end.

2. Hang a some mass let M ₁ g hanger from the hook.

3. Set the vertical wooden scale such that the tip of the pointer comes over the the scale ( look care fully)

4. Note the reading of the position of the tip of the pointer on the scale. Record the reading in loading column against zero load. ( Look care fully).

5. Gently add a M ₂ g slotted weight to the hanger with M ₁. The pointer tip moves down. The extension is due to ( M ₁ +M ₂) .

6. Wait for few minutes till the pointer tip comes to rest. Repeat step 4.

7. Repeat steps 5 and 6 till five slotted weights have been added.

8. Now remove one slotted weight. The pointer tip moves up. Repeat step 6. Record the reading in unloading column.

9. Repeat step 8 till only hanger is left.

10. Record your observations as given below.

Serial Load Extension no | Reading of scale Loading unloading (2 M2 V ات My 3 Suppose u get &, , 2, Ny measurement com for m. , M2, M3 gm. spring Constant a Miq=k, from (2) K (M, 4M2) g from ( ki na) kze (M, AM₂+ M₂) (n, that Karg = (x + K, tt)