Answer:
a) see attached, a = g sin θ
b)
c) v = √(2gL (1-cos θ))
Explanation:
In the attached we can see the forces on the sphere, which are the attention of the bar that is perpendicular to the movement and the weight of the sphere that is vertical at all times. To solve this problem, a reference system is created with one axis parallel to the bar and the other perpendicular to the rod, the weight of decomposing in this reference system and the linear acceleration is given by
Wₓ = m a
W sin θ = m a
a = g sin θ
b) The diagram is the same, the only thing that changes is the angle that is less
θ' = 9/2 θ
c) At this point the weight and the force of the bar are in the same line of action, so that at linear acceleration it is zero, even when the pendulum has velocity v, so it follows its path.
The easiest way to find linear speed is to use conservation of energy
Highest point
Em₀ = mg h = mg L (1-cos tea)
Lowest point
Emf = K = ½ m v²
Em₀ = Emf
g L (1-cos θ) = v² / 2
v = √(2gL (1-cos θ))
According to the given statement:
- The frequency response does not change, which is the first thing we notice.
- The new resistance at the resonance point causes a reduction in the circuit's current flow.
- Z = R + R₂
<h3>The definition of series circuits:</h3>
electrical circuit. The path that the entire current takes as it passes through each component makes up a series circuit. Branching is used in parallel circuits to divide the current and limit the amount that flows through each branch.
<h3>How does a series circuit operate?</h3>
According to this definition, there are three principles of series circuits: all parts share the same current, resistances add up to a larger total resistance, and voltage drops add up to a larger total voltage. In the definition of a series circuit, all of these guidelines have their origin.
<h3>According to the given information:</h3>
The impedance of a series circuit is
Z₀² = R² + (X
-X
) ²
The initial resistance impedance shifts to when we add another resistor to the series
Z² = (R + R₂) ² + (X - X) ²
Let's examine this sentence.
- The frequency response remains unchanged, which is the first thing we notice.
- The new resistance at the resonance point causes the circuit's current to decrease.
Z = R + R₂
To know more about electrical circuit visit:
brainly.com/question/1922668
#SPJ4
Answer:
Newton's Second Law of Motion
Explanation:
According to Newton's second law of motion, the change in velocity of a body is directly proportional to the force applied on it. Velocity is a vector quantity. It measures the magnitude of the speed as well as its direction.
F = m a
where, F is the applied force, m is the mass and a is the acceleration.
It can also be expressed as:
where, p = mv ( momentum)
Answer:
The half-life is 
Explanation:
Using the decay equation we have:
Where:
- λ is the decay constant
- A(0) the initial activity
- A is the activity at time t
We know the activity decrease by a factor of two in a one hour period (t = 1 h), it means that 
Taking the natural logarithm on each side we have:
Now, the relationship between the decay constant λ and the half-life t(1/2) is:
I hope it helps you!
