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assume the dat spring ius cutted in equal halves
den wat we can predict abu dat halves?
sirf length change hogi cutting mai, spring constant remains same
No wasqiss is wrong. If you cut a spring in two then spring constant doubles.
mera ans ni a rha isse ques. a spring constant of two springs are K1 and K2 such that one peice is double of the other. then the long peice will have a force constant of??
Since f=kx, then k=f/x. Now if you apply the same force to the half-length spring it only moves half as far. So if x is halved above, then k will double. Basically there are now half as many coils to take up the force via displacement.
well not getting ans dats y i post ques ans is 3/2K
If you cut a spring of constant k into two springs of constants k1 and k2 and lengths l1 and l2 then 1/k=1/k1+ 1/k2. And k1/k2=l2/l1.solve these two equations to get the answer.
Let us look at a 10 coil spring as an example. Suppose we apply a force to the spring that compresses it 1 inch meaning that each coil is compressed 1/10 of an inch. If we then cut the spring in half, leaving 5 coils, and then compress it 1 inch, then each coil is compressed 2/10 or 1/5 of an inch. The general spring equation is F = -kx where F is the applied force, k is the spring constant and x is the distance the spring is compressed. So the force needed to compress a single coil by 2/10 of an inch is twice as large as to compress it 1/10 of an inch. Therefore the spring constant (k) of the 5-coil spring must be twice that of the 10-coil spring, because each individual coil of the 5-coil spring is compressed twice as far as each individual coil of the 10-coil spring for the same overall distance. So in general the spring constant of a spring is inversely proportional to the number of coils in the spring.
guys ans is (3/2)k and shankvee ur formula is rit but can u tell me is K dont changes if l increases plz ??
K does change if you cut it into two.I don't think i got your question properly....
ques. a spring constant of two springs are K1 and K2 such that one peice is double of the other. then the long peice will have a force constant of??
Since one piece is double the other k1/k2=1/2. 1/k=1/k1 +1/k2. So, k1=k2/2, 3/k2=1/k. k2=3k and k1=3/2 k. The longer peice is k1=3/2k
yaar heena ques toh sahi likha karo
sahi toh likha h..
shuru mai galat tha
kaha?? vo to mera doubt tha if u can see
ahhh ok dint read that fully
and shankvee how u get tat springs are arranged in parallel or series??
toh kisk galti ti... bolo bolo k meri ti
If two springs have same extension then they are in parallel.
yea dat i know but couldnt get hint in this ques where dey are talking abu extension??
Like |dw:1328374653040:dw| Here if block moves by x then both springs are definitely stretched by x.
Now in series like |dw:1328374762687:dw| The two are strectched by different amounts
This question will actually be series like |dw:1328374871961:dw| In the bottom the resultant spring constant will become equal to the original spring constant (Same as the b) part in the previous question).