1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MatroZZZ [7]
3 years ago
6

Consider a string of total length L, made up of three segments of equal length. The mass per unit length of the first segment is

μ, that of the second is 2μ, and that of the third μ/4. The third segment is tied to a wall, and the string is stretched by a force of magnitude Ts applied to the first segment; Ts is much greater than the total weight of the string. How long will it take a transverse wave to propagate from one end of the string to the other? Express the time t in terms of L, μ, and Ts.
Physics
1 answer:
zzz [600]3 years ago
3 0

Answer:

Explanation:

Length of each segment is \frac{L}{3}

Speed of wave in first segment is v_1=\sqrt{\frac{T_s}{\mu}}

Speed of wave in second segment is v_2=\sqrt{\frac{T_s}{2\mu}}

Speed of wave in third segment is v_3=\sqrt{\frac{T_s}{\frac{\mu}{4}}}=\sqrt{\frac{4T_s}{\mu}}

Now time for the transverse wave to propagate is

t=t_1 + t_2 + t_3\\=\frac{(\frac{L}{3})}{v_1}+\frac{(\frac{L}{3})}{v_2} + \frac{(\frac{L}{3})}{v_3}\\\\=(\frac{L}{3})(\frac{1}{\sqrt{\frac{T_s}{\mu}}} + \frac{1}{\sqrt{\frac{T_s}{2\mu}}} + \frac{1}{\sqrt{\frac{4T_s}{\mu}}})

simplifying we get

t=(\frac{3+2\sqrt{2}}{6})L\sqrt{\frac{\mu}{T_s}}

You might be interested in
Force F=2.0N i - 3.0N k acts on a pebble with position vectorr=0.50m j - 2.0m k relative to the origin. In unit vector notation,
klasskru [66]

Answer with Explanation:

We are given that

Force acts on a pebble=2\hat{i}-3\hat{k} N

Position vector=r=0.5\hat{j}-2\hat{k} m

a.We have to find the resulting torque on the pebble about origin.

Torque=r\times F

Substitute the values then we get

Torque= (0.5j-2k)\times (2i-3k)

Torque=-k-1.5i-4jN-m

By using i\times j=k,j\times k=i,k\times i=j,j\times i=-k,k\times j=-i,i\times k=-j,i\times i=j\times j=k\times k=0

b.r=2i-3k

r-r_1=(0.5j-2k)-(2i-3k)=-2i+0.5j+k

Torque about point (2,0,-3)

\tau=(-2i+0.5j+k)\times (2i-3k)

\tau=-6j-k-1.5i+2j=-1.5i-4j-kN-m

6 0
3 years ago
Which of the following is NOT an important factor in selecting a medical professional?
lara31 [8.8K]

Answer:

D

Explanation:

appearance is not a imp factor . location could be imp. becoz a proper environment is need to study such courses.

5 0
3 years ago
What condition is necessary for the sustained flow of water in a pipe?
lianna [129]
Pressure difference (voltage)
<span />
5 0
3 years ago
You know the power for a machine and the time it takes to produce that power, what value can you calculate?
Sati [7]

We can calculate the work done by the machine by the mathematical formula,

P = W/t

where, P = Power

W = work done

t = time

6 0
3 years ago
The pressure gauge shown below has a spring for which k = 60 N/m, and the area of the piston is 0.50 cm2. Its right end is conne
kicyunya [14]

Answer:

0.025 m

0.059166 m

Explanation:

P = Pressure

A = Area

x = Compression of spring

Force is given by

F=PA\\\Rightarrow F=30000\times 0.5\times 10^{-4}\\\Rightarrow F=1.5\ N

From Hooke's law

F=kx\\\Rightarrow x=\dfrac{F}{k}\\\Rightarrow x=\dfrac{1.5}{60}\\\Rightarrow x=0.025\ m

The spring is compressed 0.025 m

In the second case

F_1=1.5\ N

F_2=101000\times 0.5\times 10^{-4}\\\Rightarrow F_2=5.05\ N

Net force would be

F=F_2-F_1\\\Rightarrow F=5.05-1.5\\\Rightarrow F=3.55\ N

Compression would be

x=\dfrac{F}{k}\\\Rightarrow x=\dfrac{3.55}{60}\\\Rightarrow x=0.059167\ m

The compression of the spring is 0.059166 m

8 0
3 years ago
Other questions:
  • It is known that the kinetics of recrystallization for some alloy obeys the Avrami equation, andthat the value of n in the expon
    5·1 answer
  • At which position (1,2,3, or 4) does the roller coaster car have the most potential energy? Why?
    11·1 answer
  • The major horizontal surface on an airplane that provides lift.​
    5·1 answer
  • If you want to lift a 5-kg box to a height of 2 meters, how much work must be
    14·1 answer
  • A child operating a radio-controlled model car on a dock accidentally steers it off the edge. The car's displacement 0.91 s afte
    15·1 answer
  • Which was least likely to have been a component of Earth’s atmosphere before life began?
    15·2 answers
  • Precautions to be taken for the displacement method
    9·1 answer
  • How much power is needed to lift a 20-kg object to a height of 4.0 m in 2.5 seconds?
    13·1 answer
  • The speed that a tsunami can travel is modeled by the equation , where s is the speed in kilometers per hour and d is the averag
    10·1 answer
  • As additional resistors are connected in parallel to a constant voltage source, how is the power supplied by the source affected
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!