A spring (k = 64.0 N/m ) hangs vertically with its top end fixed. A mass attached to the bottom of the spring then displaces it 0.285 m , establishing a new equilibrium.Given that, though, If the mass is further displaced and then released, can you explain how to get the period of the resulting oscillations that explains the concept?

Question
Asked Oct 20, 2019

A spring (k = 64.0 N/m ) hangs vertically with its top end fixed. A mass attached to the bottom of the spring then displaces it 0.285 m , establishing a new equilibrium.

Given that, though, If the mass is further displaced and then released, can you explain how to get the period of the resulting oscillations that explains the concept?

check_circleExpert Solution
Step 1

Given:

Spring constant , k =  64 N/m

Initial displacement of the spring = 0.285 m

Step 2

Calculating the mass ...

( o285 m)
Кx
mg
As the block is n the eauelibrium,
forrter will ke balanced.
Кж
mg
(64NM) (o
Кж
285m)
OA
(9:8 m/s)
m 86 Ky
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( o285 m) Кx mg As the block is n the eauelibrium, forrter will ke balanced. Кж mg (64NM) (o Кж 285m) OA (9:8 m/s) m 86 Ky

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