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# Equivalent spring constant?

well sorry,the image should be horizontal.

Note by A E
2 months, 2 weeks ago

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That's easy.if the bock goes a distance x then the the change in the total length is 3x.(2x for the string+x for the spring)so the total is 3x.ad there are 2 forces.the spring force +the rod(the one that connects the pulley to block)so the net force is 3T as the tension=force of spring.so the net force on block is 33xk=9kx.and since we displace by x the effective is 9kx/x =9k · 2 months, 2 weeks ago

but why should the tension be equal to spring force? · 2 months, 2 weeks ago

@A E In you can think in 2 ways.I)consider the leftmost pulley.I guess its ideal then we can safely consider that the net torque cting on it is zero.which means you are left with fr-Tr=0 implying T=f.or you my thing it as tension will be constant throughout because if we consider the fbd of a small element the net force is zero(as its massless)which means I can extend the same throughout. · 2 months, 2 weeks ago

Thanks!!!! will you be giving the AITS tomorrow ? · 2 months, 2 weeks ago

@A E Yep · 2 months, 2 weeks ago

How was the AITS? · 2 months, 2 weeks ago

Well,then all the best!! · 2 months, 2 weeks ago

hey , sorry please don't bother about options, yes it is asking about some extension,but I think I will be able to solve it myself.But I am not able to understand how is the whole pulley system being replaced by a spring of force constant 9K. · 2 months, 2 weeks ago

Hey the first 2 options dimensions looks like they are asking for some extensions etc.why don't you repost it with a complete question · 2 months, 2 weeks ago

What to find.I am not able to get the com question · 2 months, 2 weeks ago

equivalent spring constant. the answer is given as 9K. · 2 months, 2 weeks ago