In the reported figure, two bodies A and B of masses 200g and 800g are attached with the system of springs. Springs are kept in a stretched position with some extension when the system is released. The horizontal surface is assumed to be frictionless. The angular frequency will be _______ rad/s when k = 20 N/m.

 

0 2 Views | Posted a month ago
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  • R

    Answered by

    Raj Pandey | Contributor-Level 9

    a month ago

    ω = √k_eq/μ [μ = (m? )/ (m? +m? ) (Reduced mass)]
    k_eq = (k × 4k)/ (k+4k) = 4k/5
    ω = √ (4k/5) / (m? / (m? +m? )
    = √ (4×20/5) / (0.2×0.8)/ (0.2+0.8)
    = √ (16/0.16)
    = 10 rad/s

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