A vertical spring system with a bob having mass M is set into motion with amplitude A. When the bob replaced by one having mass 2M, the following can be concluded:
A) The period is about 0.7 times as large as before
B) The period is unaffected
C) The period is twice as large as before
D) The period is half as large as before
E) The period is about 1.4 times as large as before

Question

Quizplus · Accepted Answer

The period of a mass-spring system is given by T = 2π√(m/k). When the mass is doubled, the period becomes T' = 2π√(2m/k) = √2 * T, which is approximately 1.4 times the original period.

A Vertical Spring System with a Bob Having Mass M