Answer:
Hello your question is incomplete attached below is the complete question
Answer : x ( acceleration of mass 4m ) = ![\frac{g}{7}](https://tex.z-dn.net/?f=%5Cfrac%7Bg%7D%7B7%7D)
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 = ![\frac{4m}{2} x^2 + \frac{3m}{2} (-x+y)^2 + \frac{m}{2} (-x-y)^2](https://tex.z-dn.net/?f=%5Cfrac%7B4m%7D%7B2%7D%20x%5E2%20%20%2B%20%5Cfrac%7B3m%7D%7B2%7D%20%28-x%2By%29%5E2%20%2B%20%5Cfrac%7Bm%7D%7B2%7D%20%28-x-y%29%5E2)
T =
also the general potential energy can be expressed as
U = ![-4mgx-3mg(-x+y)-mg(-x-y)+constant=-2mgy +constant](https://tex.z-dn.net/?f=-4mgx-3mg%28-x%2By%29-mg%28-x-y%29%2Bconstant%3D-2mgy%20%2Bconstant)
The Lagrangian of the problem can now be setup as
![L =4mx^2 +2my^2 -2mxy +2mgy + constant](https://tex.z-dn.net/?f=L%20%3D4mx%5E2%20%2B2my%5E2%20-2mxy%20%2B2mgy%20%2B%20constant)
next we will take the Euler-Lagrange equation for the generalized equations :
Euler-Lagrange equation = ![4x-y =0\\-2y+x +g = 0](https://tex.z-dn.net/?f=4x-y%20%3D0%5C%5C-2y%2Bx%20%2Bg%20%3D%200)
solving the equations simultaneously
x ( acceleration of mass 4m ) = ![\frac{g}{7}](https://tex.z-dn.net/?f=%5Cfrac%7Bg%7D%7B7%7D)
The top pulley rotates because it has to keep the center of mass of the system at equilibrium
Answer:
a) It takes her 1.43 s to reach a speed of 2.00 m/s.
b) Her deceleration is - 2.50 m/s²
Explanation:
The equation of velocity for an object that moves in a straight line with constant acceleration is as follows:
v = v0 + a · t
Where:
v = velocty.
v0 = initial velocity.
a = acceleration.
t = time.
a) Using the equation of velocity, let´s consider that the car moves in the positive direction. Then:
v = v0 + a · t
2.00 m/s = 0 m/s + 1.40 m/s² · t
t = 2.00 m/s / 1.40 m/s²
t = 1.43 s
It takes her 1.43 s to reach a speed of 2.00 m/s
b) Let´s use again the equation of velocity, knowing that at t = 0.800 s the velocity is 0 m/s:
v = v0 + a · t
0 = 2.00 m/s + a · 0.800 s
-2.00 m/s / 0.800 s = a
a = -2.50 m/s²
Her deceleration is - 2.50 m/s²
Well, the rings surrounding a planet are made out of rock. A ring surrounding the sun would be impossible since the sun can reach more than 27 million degrees Fahrenheit (15 million degrees Celsius.)
Hope this helped.
Answer:
D a thermometer
Explanation: It measures and track Celcius and Feirinheit.