Question

total energy of mass spring system at displacement x=x•/2​

Answer 1

Answer:

Explanation:

The total energy of the system of a block and a spring is equal to the sum of the potential energy stored in the spring plus the kinetic energy of the block and is proportional to the square of the amplitude ETotal=(1/2)kA2. E Total = ( 1 / 2 ) k A 2 . The total energy of the system is constant

Answer 2

Concept

A spring system with a block hanging or fastened to the spring's free end is known as a spring-mass system.

Given

Given displacement is x=x•/2​

Find

We need to find the total energy of mass spring system at displacement x=x•/2​

Solution

The sum of the kinetic energy of the block plus the potential energy stored in the spring, which is proportional to the square of the amplitude, makes up the total energy of the system of a block and a spring.

Therefore

Total Energy = $1/2kx^2$

$= 1/2k(x/2)^2$

= $1/2k(x^2/4) = kx^2/8$

Hence Total Energy is $1/8kx^2$

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