# Answer to Question #104973 in Mechanics | Relativity for Ceaser

Question #104973
Two blocks are con-
nected by a light string that
passes over two frictionless
pulleys.
The block of mass m 2 is
attached to a spring of force m1 constant k and m1 . m2.
If the system is released from rest, and the spring is initially not stretched or compressed, find an expression for the maximum dis- placement d of m2.
1
2020-03-09T11:17:46-0400

As per the given question,

the masses of the blocks are "m_1" and "m_2" , which is connected with the string and spring system and string is passing over the pulley, let the blocks are going x distance downwards, so the spring will elongate 2x.

Hence applying the conservation of the energy

"\\Rightarrow \\dfrac{k(2x)^2}{2}=m_1gx+m_2gx"

"\\Rightarrow 2Kx^2=(m_1+m_2)gx"

So, x"x=\\dfrac{(m_+m_2)g}{2K}"

Hence the maximum elongation in the spring will be "x=\\dfrac{(m_1+m_2)g}{2K}"

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!