A spring connected two particle of masses \( m \) and \( 3 m \). A horizontal force acts on \( m....

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A spring connected two particle of masses \( m \) and \( 3 m \). A horizontal force acts on \( m \). Ignoring friction,
\( \mathrm{P} \)
when the elongation of the spring is \( x \) then
(1) \( a_{2}=\frac{k x}{3 m} \)
(2) \( a_{1}=\frac{F-k x}{m} \)
(3) \( F=m a_{1}+3 m a_{2} \)
(4) \( a_{1}=a_{2}=\frac{F}{4 m} \) (at the time of maximum elongation of the spring)


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