Q.

In the figure given below. A block mass M=490 g placed on a frictionless table is connected with two springs having same spring constant (K= 8 Nm1). If the block is horizontally displaced through ‘X’ m then the number of complete oscillations it will make in 14π seconds will be______.

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answer is 40.

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Detailed Solution

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Fres=kx+kx+2kx ALso  Fres=mω2x So, 2kx=mω2x ω=2km f=12π2km=12π8×20.49=12π160049

So, no. of oscillation in 14π  second  =f×14π

=12π160049×14π=7×407=40

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