A vertical spring mass system has mass of 0.5 kg and an Initial deflection of 0.2cm. Find the spring stiffness and natural frequency of the system.

Welcome back.

and 4 others joined a min ago.

6.5kviews

written 6.3 years ago by

modified 2.3 years ago by

sagarkolekar ★ 11k

ADD COMMENT EDIT

1 Answer

374views

written 2.3 years ago by

• modified 2.3 years ago

Given,

m = 0.5 kg

δ = 0.2 cm

According to question,

Spring stiffness = ?

Natural frequency = ?

Spring Stiffness is given by,

$stiffness = (\frac {mg}{δ})$

$stiffness = (\frac {0.5 \times 9.81}{0.2/100})$

$stiffness = 2452.5 N/m$

Frequency is given by,

$F_n = (\frac {1}{2π}) \times (\frac {g}{δ}) $

$F_n = (\frac {1}{2π}) \times (\frac {9.81}{0.2/100\ m}) $

$F_n = 11.14\ Hz\ Ans.$

ADD COMMENT EDIT

Community

Content

Company