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Question

A block of mass m is connected to three springs, each of spring constant k as shown in figure. The block is pulled by x in the direction of C. Find resultant spring constant=?
133995_fd137ff279ae48d9bba1af44076fe793.png

A
k
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B
2k
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C
3k
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D
3k2
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Solution

The correct option is D 3k2
Equating forces along X-axis, we get:
Fnet=(kx+kycos60+kycos60) where x and y are displacements of the other two springs.
Now, Δy=Δxcos60o from diagram.
Fnet=32kx
keq=32k
129839_133995_ans.PNG

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