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Let there be two blocks $m_1$ and $m_2$ both are attched with a spring and have a velocity $v_1$ and $v_2$ respectively . They are attached to same spring.

Now I have some doubts related to it.

1. With respect to centre of mass, how these blocks are doing SHM.

2. And in ground frame can we use energy conservation like this $$(1/2)m_1v_1^2+(1/2)m_2v_2^2=(1/2)kx^2$$ Where $x$ is maximum compression in spring.

3. Can we use concept of reduce mass in such situations

Let there be two blocks $m_1$ and $m_2$ both are attched with a spring and have a velocity $v_1$ and $v_2$ respectively . They are attached to same spring.

Now I have some doubts related to it.

1. With respect to centre of mass, how these blocks are doing SHM.

2. And in ground frame can we use energy conservation like this $$(1/2)m_1v_1^2+(1/2)m_2v_2^2=(1/2)kx^2$$ Where $x$ is maximum compression in spring. Where k is spring constant

3. Can we use concept of reduce mass in such situations

Let there be two blocks $m_1$ and $m_2$ both are attched with a spring and have a velocity $v_1$ and $v_2$ respectively . They are attached to same spring.

Now I have some doubts related to it  .

1)With respect to centre of mass ,how these blocks are doing SHM.

2)And in ground frame can we use energy conservation like this

$$(1/2)m_1v_1^2+(1/2)m_2v_2^2=(1/2)kx^2$$

Where x is maximum compression in spring .

3)Can we use concept of reduce mass in such situations

Let there be two blocks $m_1$ and $m_2$ both are attched with a spring and have a velocity $v_1$ and $v_2$ respectively . They are attached to same spring.

Now I have some doubts related to it.

1. With respect to centre of mass, how these blocks are doing SHM.

2. And in ground frame can we use energy conservation like this $$(1/2)m_1v_1^2+(1/2)m_2v_2^2=(1/2)kx^2$$ Where $x$ is maximum compression in spring.

3. Can we use concept of reduce mass in such situations

Let there be two blocks $m_1$ and $m_2$ both are attched with a spring and have a velocity $v_1$ and $v_2$ respectively .

Now I have some doubts related to it .

1)With respect to centre of mass ,how these blocks are doing SHM.

2)And in ground frame can we use energy conservation like this

$$(1/2)m_1v_1^2+(1/2)m_2v_2^2=(1/2)kx^2$$

Where x is maximum compression in spring .

3)Can we use concept of reduce mass in such situations

Let there be two blocks $m_1$ and $m_2$ both are attched with a spring and have a velocity $v_1$ and $v_2$ respectively . They are attached to same spring.

Now I have some doubts related to it .

1)With respect to centre of mass ,how these blocks are doing SHM.

2)And in ground frame can we use energy conservation like this

$$(1/2)m_1v_1^2+(1/2)m_2v_2^2=(1/2)kx^2$$

Where x is maximum compression in spring .

3)Can we use concept of reduce mass in such situations