Please take a look at that problem

  • Thread starter zinedine_88
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In summary, the conversation discusses a block of mass M attached to two springs, each with a different spring constant (K1 and K2) on a frictionless table. The question is what the value of (w) would be for the simple harmonic motion of the block if it is kicked. The hint is to isolate the point between the two springs and use the formula w=sqrt(k1*k2/(k1 + k2)*m). To find the spring constant of the combined spring, you must stretch the block through a distance X by applying a force F, causing each spring to stretch through X1 and X2 respectively. Then, using the formula F=kX, X1=F/k1 and X2=F/k
  • #1
zinedine_88
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Two springs, spring constants K1 and K2, are attached to a block of mass M on a frictionless table as shown. What will (w) be for the simple harmonic motion of the block if it is kicked?

what should I do... please give me a hint...


the picture is like..

|####---$$$$--@

where #### represents the spring with constant k1
and $$$$ represents the spring with constant k2
@ is the block attached to the springs...


the hint is that I have to isolate the point between the two srpings... I tried but I did not get the answer..

which is

w=sqrt(k1*k2/(k1 + k2)*m)

PLEASE I HAVE A FINAL on tuesday hel me...
 
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  • #2
If you stretch the block through a distance X by applying a force F, the spring S1 will stretch through X1 and spring S2 will stretch through X2. Since for the spring F = kX, X1 = F/k1 abd X2 = F/k2. Now find the spring constant of combined spring and find the (w).
 
  • #3


As a scientist, my advice would be to approach this problem by using the principles of simple harmonic motion. Since the table is frictionless, the block will experience a periodic motion between the two springs with a constant amplitude. The key to solving this problem is to find the effective spring constant, which can be calculated by considering the two springs as a series combination. This can be done by using the formula for effective spring constant in series combination, which is 1/keff = 1/k1 + 1/k2. Once you have the effective spring constant, you can use it to calculate the angular frequency (w) using the formula w=sqrt(keff/m). This will give you the frequency of the simple harmonic motion of the block. Remember to use the correct units for the spring constants and mass. Good luck with your final exam!
 

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