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Question

Figure below shows a mass m suspended with a massless inextensible string passing over a frictionless pulley. The spring constant is k, what is the time period of oscillations of the mass?
696179_38b243516a0d4dfd8b3e234ff00909f6.png

A
2πm/2k
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B
2πm/k
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C
2π2m/k
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D
None of these
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Solution

The correct option is D 2πm/k
Here, the pull on the spring will be
F=T=mg=ky,
where y is the extension of the spring
Hence, time period =2πyg=2πmk.
723429_696179_ans_0ad1228be34c4eaf84367d81b41db52e.png

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