It has to due with numbers so I would say the last one!
Answer:
![\omega_f = 585.37 \ rev/s](https://tex.z-dn.net/?f=%5Comega_f%20%3D%20585.37%20%5C%20rev%2Fs)
Explanation:
given,
mass of wheel(M) = 3 Kg
radius(r) = 35 cm
revolution (ω_i)= 800 rev/s
mass (m)= 1.1 Kg
I_{wheel} = Mr²
when mass attached at the edge
I' = Mr² + mr²
using conservation of angular momentum
![I \omega_i = I' \omega_f](https://tex.z-dn.net/?f=I%20%5Comega_i%20%3D%20I%27%20%5Comega_f)
![(Mr^2) \times 800 = ( M r^2 + m r^2) \omega_f](https://tex.z-dn.net/?f=%20%28Mr%5E2%29%20%5Ctimes%20800%20%3D%20%28%20M%20r%5E2%20%2B%20m%20r%5E2%29%20%5Comega_f)
![M\times 800 = ( M + m )\omega_f](https://tex.z-dn.net/?f=%20M%5Ctimes%20800%20%3D%20%28%20M%20%2B%20m%20%29%5Comega_f)
![3\times 800 = (3+1.1)\times \omega_f](https://tex.z-dn.net/?f=%203%5Ctimes%20800%20%3D%20%283%2B1.1%29%5Ctimes%20%5Comega_f)
![2400 = (4.1)\times \omega_f](https://tex.z-dn.net/?f=%202400%20%3D%20%284.1%29%5Ctimes%20%5Comega_f)
![\omega_f = 585.37 \ rev/s](https://tex.z-dn.net/?f=%5Comega_f%20%3D%20585.37%20%5C%20rev%2Fs)
Answer:
How did life begin on earth?
Explanation:
this is an example of a question that cannot be solved or why do we sleep too cannot be solved
Hello!
Answer: 7918 J
Explanation:
We are assuming that the floor (field) is completely horizontal since there's no information about that in the statement.
We are going to use the following formula:
![W= F . Cos \alpha . D](https://tex.z-dn.net/?f=W%3D%20F%20.%20Cos%20%5Calpha%20.%20D)
Where:
![F=214 N](https://tex.z-dn.net/?f=F%3D214%20N%20)
![\alpha =0](https://tex.z-dn.net/?f=%20%5Calpha%20%3D0)
º
![D= 37m](https://tex.z-dn.net/?f=D%3D%2037m)
Then, by substituting we have:
![W=214N . Cos (0).37m= 7918 N.m=7918 J](https://tex.z-dn.net/?f=W%3D214N%20.%20Cos%20%280%29.37m%3D%207918%20N.m%3D7918%20J)
Answer:
See the answers below.
Explanation:
to solve this problem we must make a free body diagram, with the forces acting on the metal rod.
i)
The center of gravity of the rod is concentrated in half the distance, that is, from the end of the bar to the center there is 40 [cm]. This can be seen in the attached free body diagram.
We have only two equilibrium equations, a summation of forces on the Y-axis equal to zero, and a summation of moments on any point equal to zero.
For the summation of forces we will take the forces upwards as positive and the negative forces downwards.
ΣF = 0
![-15+T-W=0\\T-W=15](https://tex.z-dn.net/?f=-15%2BT-W%3D0%5C%5CT-W%3D15)
Now we perform a sum of moments equal to zero around the point of attachment of the string with the metal bar. Let's take as a positive the moment of the force that rotates the metal bar counterclockwise.
ii) In the free body diagram we can see that the force acts at 18 [cm] of the string.
ΣM = 0
![(15*9) - (18*W) = 0\\135 = 18*W\\W = 7.5 [N]](https://tex.z-dn.net/?f=%2815%2A9%29%20-%20%2818%2AW%29%20%3D%200%5C%5C135%20%3D%2018%2AW%5C%5CW%20%3D%207.5%20%5BN%5D)