<span>We can answer this using
the rotational version of the kinematic equations:</span><span>
θ = θ₀ + ω₀<span>t + ½αt²
-----> 1</span></span>
ω² = ω₀² + 2αθ
-----> 2
Where:
θ = final angular
displacement = 70.4 rad
θ₀ = initial
angular displacement = 0
ω₀ = initial angular
speed
ω = final angular speed
t = time = 3.80 s
α = angular acceleration
= -5.20 rad/s^2
Substituting the values
into equation 1:<span>
70.4 = 0 + ω₀(3.80)
+ ½(-5.20)(3.80)² </span><span>
ω₀ = (70.4
+ 37.544) / 3.80 </span><span>
ω₀ = 28.406
rad/s </span><span>
Using equation 2:
ω² = (28.406)² + 2(-5.2)70.4
ω = 8.65 rad/s
</span>
Complete Question
The complete question is shown on the first uploaded image
Answer:
The components of reaction at the fixed support are
,
,
,
,
, ![M_z = 0 \ N\cdot m](https://tex.z-dn.net/?f=M_z%20%20%3D%200%20%5C%20%20N%5Ccdot%20m)
Explanation:
Looking at the diagram uploaded we see that there are two forces acting along the x-axis on the fixed support
These force are 400 N and
[ i.e the reactive force of 400 N ]
Hence the sum of forces along the x axis is mathematically represented as
![A_{(x)} - 400 = 0](https://tex.z-dn.net/?f=A_%7B%28x%29%7D%20%20-%20400%20%20%3D%200)
=> ![A_{(x)} = 400 \ N](https://tex.z-dn.net/?f=A_%7B%28x%29%7D%20%20%3D%20400%20%20%5C%20N)
Looking at the diagram uploaded we see that there are two forces acting along the y-axis on the fixed support
These force are 500 N and
[ i.e the force acting along the same direction with 500 N ]
Hence the sum of forces along the x axis is mathematically represented as
![A_{(y)} + 500 = 0](https://tex.z-dn.net/?f=A_%7B%28y%29%7D%20%20%2B%20500%20%20%3D%200)
=> ![A_{(y)} = -500 \ N](https://tex.z-dn.net/?f=A_%7B%28y%29%7D%20%20%3D%20-500%20%20%5C%20N)
Looking at the diagram uploaded we see that there are two forces acting along the z-axis on the fixed support
These force are 600 N and
[ i.e the reactive force of 600 N ]
Hence the sum of forces along the x axis is mathematically represented as
![A_{(z)} - 600 = 0](https://tex.z-dn.net/?f=A_%7B%28z%29%7D%20%20-%20600%20%20%3D%200)
=> ![A_{(z)} = 600 \ N](https://tex.z-dn.net/?f=A_%7B%28z%29%7D%20%20%3D%20600%20%20%5C%20N)
Generally taking moment about A along the x-axis we have that
![\sum M_x = M_x - 500 (0.75 + 0.5) + 600 ( 1 ) = 0](https://tex.z-dn.net/?f=%5Csum%20M_x%20%20%3D%20M_x%20%20-%20500%20%280.75%20%2B%200.5%29%20%2B%20600%20%28%201%20%29%20%3D%200)
=> ![M_x = 1225 \ N\cdot m](https://tex.z-dn.net/?f=M_x%20%20%3D%201225%20%5C%20%20N%5Ccdot%20m)
Generally taking moment about A along the y-axis we have that
![\sum M_y = M_y - 400 (0.75 ) + 600 ( 0.75 ) = 0](https://tex.z-dn.net/?f=%5Csum%20M_y%20%20%3D%20M_y%20%20-%20400%20%280.75%20%29%20%2B%20600%20%28%200.75%20%29%20%3D%200)
=> ![M_y = 750 \ N\cdot m](https://tex.z-dn.net/?f=M_y%20%20%3D%20750%20%5C%20%20N%5Ccdot%20m)
Generally taking moment about A along the z-axis we have that
![\sum M_z = M_z = 0](https://tex.z-dn.net/?f=%5Csum%20M_z%20%20%3D%20M_z%20%3D%200)
=> ![M_z = 0 \ N\cdot m](https://tex.z-dn.net/?f=M_z%20%20%3D%200%20%5C%20%20N%5Ccdot%20m)
<h2>
Answer: Heat transfer by radiation</h2>
Explanation:
There are three ways in which the thermal transfer (heat) occurs:
1. By Conduction, when the transmission is by the <u>direct contact.</u>
2. By Convection, heat transfer<u> in fluids</u> (like water or the air, for example).
3. By <u>Radiation</u>, by the electromagnetic waves (they can travel through any medium and in vacumm or empty space)
Since outter space is vacuum (sometimes called "empty"), energy cannot be transmitted by convection, nor conduction. It must be transmitted by electromagnetic waves that are able to travel with or without a medium.
Answer:
y = constant
Explanation:
Bodies moving on the surface of Earth are subject to gravity, and they have a potential and kinetic energy. If there is no friction, the sum of the kinetic and potential energy remains constant.
Since potential energy depends on height, changes in altitude affect potential energy. Going higher increases this energy, this is accompanied by a reduction of kinetic energy and speed (since kinetic energy is related to speed). If the body goes down potential energy is reduced, but kinetic energy and speed increase.
For speed to remain constant the kinetic energy must remain constant. For the kinetic energy to remanin constant, the potential energy must remain constant, and for the potential energy to remain constant the height must remain constant.
Answer:
The bullet will have been dropped vertically h= 0.54 meters by the time it hits the target.
Explanation:
d= 100m
V= 300 m/s
g= 9.8 m/s²
d= V*t
t= d/V
t= 0.33 s
h= g*t²/2
h=0.54 m