A weight suspended from an ideal spring oscillates up and down. If the weight is increasing, the period is

Question

A weight suspended from an ideal spring oscillates up and down. If the weight is increasing, the period is

a) remaining the same (b) increasing (c) decreasing (d) 0 (e) none of these

Explain your answer please

Answer 1

Period (T) for mass spring system is T = 2pi (square root of mass/k) , where k is the spring constant.

So if mass is 2.0kg initially and let's say k = 1 N/m

T = 2pi (square root of 2/1) = 2.89 seconds

So now lets increase the mass from 2.0kg to 5.0kg, then T = 14.05 seconds...so your period increases with a greater mass.