Answer:
Hello your question is incomplete attached below is the complete question
Answer : x ( acceleration of mass 4m ) = 
The top pulley rotates because it has to keep the center of mass of the system at equilibrium
Explanation:
Given data:
mass suspended = 4 meters
mass suspended at other end = 3 meters
first we have to express the kinetic and potential energy equations
The general kinetic energy of the system can be written as
T = 
T = 
also the general potential energy can be expressed as
U = 
The Lagrangian of the problem can now be setup as
next we will take the Euler-Lagrange equation for the generalized equations :
Euler-Lagrange equation = 
solving the equations simultaneously
x ( acceleration of mass 4m ) =
The top pulley rotates because it has to keep the center of mass of the system at equilibrium
Answer:
Young's modulus (Y) = 3.56×10^11 N/m^2
The speed of sound in tungsten = 6166.4 m/s
Explanation:
Young's modulus (Y) = stress/strain
Stress = force/area
Force = mg = 30×9.8 = 294 N
Area = 1.5 × 2.6 = 3.9 mm^2 = 3.9/10^6 = 3.9×10^-6 m^2
Stress = 294/3.9×10^-6 = 7.54×10^7 N/m^2
Strain = extension/length
Extension = 0.000594 m
Length = 2.8 m
Strain = 0.000594/2.8 = 2.12×10^-4
Y = 7.54×10^7/2.12×10^-4 = 3.56×10^11 N/m^2
Y = h × rho × g
rho = 18.7 g/cm^3 = 18.7 g/cm^3 × 1 kg/1000 g × (100 cm/1 m)^3 = 18,700 kg/m^3
h = 3.56×10^11/(18,700×9.8) = 1.94×10^6 m
From the equations of motion
v^2 = u^2 + 2gh =
Initial speed (u) = 0 m/s
v = sqrt (2×9.8×1.94×10^6)
v = 6166.4 m/s
Explanation:
The water cycle basically involves five steps:
- evaporation and transpiration ⇄
- condensation, ⇄
- precipitation, ⇄
- runoff, ⇄
- infiltration ⇄
So when a <u>thunderstorm </u>occurs it <em>helps in completing the precipitation process </em>by enabling the release of water vapor stored up in the atmosphere to fall on the ground as rain.
After this, the water <em>runoffs </em><em>to the surface of the ground, on plants, into rocks, rivers, and lakes.</em>
Next, the <em>Infiltration process</em> enables the water on the ground surface to enter the soil some of which becomes groundwater.
The cycle begins again as the<em> </em><em>evaporation and transpiration</em> <em>process </em>begins, where the groundwater as a result of heat from the sun is taken back into the atmosphere, while water in plants by means of transpiration goes back <em>into the atmosphere</em>.
It then <em>condenses </em>and falls back as precipitation again.
It is D as it is the only answer referring to weather and climate.
