Question

A block oscillating on a spring has period t = 3.0 s . note: you do not know values for either m or k. do not assume any particular values for them. the required analysis involves thinking about ratios. part a what is the period if the block's mass is tripled?

Answer 1

Period, T= 2pi*sqrt (m/k)
If T=3 sec

3= 2pi*sqrt (m/k) => m/k = (3/2pi)^2 = 0.228

If the mass is tripped,
T= 2pi*sqrt (3m/k) but m/k = 0.228

T= 2pi*sqrt (3*0.228) = 5.196 seconds