A student carries a backpack for one mile , another student carries the same back pack for two miles . Compared to the first stu
2 answers:
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Answer:
w = 0.943 rad / s
Explanation:
For this problem we can use the law of conservation of angular momentum
Starting point. With the mouse in the center
L₀ = I w₀
Where The moment of inertia (I) of a rod that rotates at one end is
I = 1/3 M L²
Final point. When the mouse is at the end of the rod
= I w + m L² w
As the system is formed by the rod and the mouse, the forces during the movement are internal, therefore the angular momentum is conserved
L₀ = L_{f}
I w₀ = (I + m L²) w
w = I / I + m L²) w₀
We substitute the moment of inertia
w = 1/3 M L² / (1/3 M + m) L² w₀
w = 1 / 3M / (M / 3 + m) w₀
We substitute the values
w = 1/3 / (1/3 + 0.02) w₀
w = 0.943 w₀
To finish the calculation the initial angular velocity value is needed, if we assume that this value is w₀ = 1 rad / s
w = 0.943 rad / s
The force is greatest when the wire is perpendicular to the magnetic field.
In fact, the expression for the magnetic force is
where I is the current, L the length of the wire, B the magnetic field intensity and
is the angle between the directions of I and B.
We can see that F is maximum when
, so when 
, so when the wire and the magnetic field are perpendicular to each other.
In fact, the expression for the magnetic force is
where I is the current, L the length of the wire, B the magnetic field intensity and
We can see that F is maximum when
The first image below shows force F1 and the axes.
Answer: 3.62 kN
Explanation: The second figure below express the parallelogram method to calculate the u component of force F1.
The <u>Parallelogram</u> <u>Method</u> is a method to determine resultant force and is applied as described in the question above.
With the three components, and
and angles, it can be used the <u>Law</u> <u>of</u> <u>Sines</u>, which states:
i.e., there is a relation of proportionality between an angle and its opposite side.
For the triangle below:
u = 3.62
The magnitude of the component acting along the u-axis is 3.62kN.
