Question

A 0.26kg block oscillates between two 19N/m springs, as shown in the figure.

Part A: What's the oscillation period?

Part B: Compare with the period of the same block oscillating on a single 19N/m spring.

Answer 1

Part A If a block is oscillates between two springs, the angular oscillati on frequency is M2 Here, k, and k, are spring constants andmismass 19 N/m +19 Nim 0.26 kg 12 rad/s Now, find oscillati on period 12 rad/s 0.5197s Round off the result to 2 significant figures T 0.52 s Part B For the case of single spring 19 N/m 0.26kg 8.548 rad/s Now, find oscillati on period 27T 8.548 rad/s -0.735s V2(0.52) From this calculations, it is clear that T-742 That is the oscillation period single spring - block system is V2 times the two sping-block system