Another wave question, hope someone can help me ASAP Here is a brainteaser posin

Question

Another wave question, hope someone can help me ASAP

Here is a brainteaser posing as a physics problem (you will need this result for Part I of the lab). Consider an elastic cord with an unstretched length of L and a mass of m. This cord has a density (mass per unit length) of m/L. Now, tie knots in the cord close to the ends: Here, the length of the cord is still L, but the distance between the knots is L_1. Lastly, grab the cord by the knot at each end and stretch the string out so that the stretched distance between the knots is now L_2: Obviously, the mass that was in the length L_1 is now stretched out into L_2. Your task is to find the density mu (mass per unit length) of the string between the knots (i.e. in the length L_2) in the third diagram. Show your reasoning clearly.

Explanation / Answer

lets say:

The total mass remains constant

y = mass/length

then initally , y = m/L

the density of the string in lengh L1 remains same, because it has not been strtched and only not has been made.

now for the lenght L2, such that :

L2 > L1

yxL1 = y'xL2

y' = yxL1/ L2

y'= mL1/LL2=

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---