Question

26. The periodic time of a mass suspended by a spring (force constant k) is T. If the spring is cut into three equal parts, what will be the force constant of each part. If the same mass be suspended from one part, what will be the periodic time.

Answer 1

@Vincent-Lyon.Fr

Answer 2

if the spring is cut into three equal parts.. what do you think happens to the force constant?

Answer 3

it remains the same

Answer 4

Answer this

when two springs of spring constants K are connected in series.. what happens to the spring constant of the resulting spring?

Answer 5

1/k = 1/k1 + 1/k2

Answer 6

correct.. so if the spring constants are same

then the resulting constant would be

1/Kr = 1/K + 1/K = 2/K

hence Kr = K/2

so what you learnt?? if two springs of same spring constant are put together in series, the spring constant goes down by a factor that is equal to the number of springs put togther


so now what happens if i CUT the spring into three equal halfs.. what do you think happens to the K of each part? ;-)

Answer 7

It Becomes 3 times

Answer 8

correct.. so now spring constant of each spring is 3 times

what is the relation between Periodic time and spring constant?

Answer 9

@Mashy

Answer 10

yea yea m here don't worry :P

Answer 11

idk

Answer 12

i know

Answer 13

T = 2 pie sqrt(m/k)

Answer 14

Ryt ?

Answer 15

you should know the relation between T and k and m

\[T =2 \pi \sqrt{ \frac{m}{k}}\]

Answer 16

yup.. so .. take that as equation one

now develop a new equation for NEW T .. (lets call it T prime) and the new spring constant (3k).. but the mass is the same (given in the question)..
this be the equation 2

divide the two equations to get your T prime

Answer 17

Thxxxx...u helped me a lot...

Answer 18

no problem :D.. thats what we do ;-)!