Answer:
w = √[g /L (½ r²/L2 + 2/3 ) ]
When the mass of the cylinder changes if its external dimensions do not change the angular velocity DOES NOT CHANGE
Explanation:
We can simulate this system as a physical pendulum, which is a pendulum with a distributed mass, in this case the angular velocity is
w² = mg d / I
In this case, the distance d to the pivot point of half the length (L) of the cylinder, which we consider long and narrow
d = L / 2
The moment of inertia of a cylinder with respect to an axis at the end we can use the parallel axes theorem, it is approximately equal to that of a long bar plus the moment of inertia of the center of mass of the cylinder, this is tabulated
I = ¼ m r2 + ⅓ m L2
I = m (¼ r2 + ⅓ L2)
now let's use the concept of density to calculate the mass of the system
ρ = m / V
m = ρ V
the volume of a cylinder is
V = π r² L
m = ρ π r² L
let's substitute
w² = m g (L / 2) / m (¼ r² + ⅓ L²)
w² = g L / (½ r² + 2/3 L²)
L >> r
w = √[g /L (½ r²/L2 + 2/3 ) ]
When the mass of the cylinder changes if its external dimensions do not change the angular velocity DOES NOT CHANGE
Answer: the friction force on the small block at t equals 1 second is 2N
Explanation:
Given the data in the question;
from the slope in the graph provided, we will get the acceleration of the slab
At t = 1 seconds
Slope = acceleration = ( 1 - 0) / ( 2 - 0 ) = 1/2 = 0.5 m/s²
Force = ma = 4 × 0.5 = 2 N
so by Newton's third law
Force on block will be same which is 2N
Therefore the friction force on the small block at t equals 1 second is 2N
Answer:
D a conclusion
Explanation:
The definition of hypothesis is a supposition or proposed explanation made on the basis of limited evidence as a starting point for further investigation
High-density altitude and high humidity do not ever go hand in hand. If high humidity does exist, however, it exists wise to add 10 percent to your calculated takeoff distance and expect a reduced climb rate.
With a longer takeoff distance, the air exists less dense.
<h3>How do atmospheric temp pressure and rel humidity affects aircraft performance?</h3>
Several elements (altitude/pressure, temperature, and humidity) affect air density. A more elevated altitude, low-pressure area, higher temperature, and increased humidity all contain one effect: they lower the density of the air. And as a consequence of that: a decrease in aircraft and engine performance.
Humidity reduces the implementation of most aircraft, not only because of its effect on the wings but also effect on the engines. Humidity contains a significant effect on the path of plane flies. This exists due to the weight of the air when it exists in humid.
To learn more about humidity refer to:
brainly.com/question/21494654
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Answer:
105 kg.m/s
Explanation:
Formula for change in momentum is given as;
ΔP = m(v - u)
We are given;
Mass; m = 35 kg
Initial velocity; u = 3 m/s
Final velocity; v = 6 m/s
Thus;
ΔP = 35(6 - 3)
ΔP = 35 × 3
ΔP = 105 kg.m/s
