Answer:
(-6,8)
Explanation:
Since v has direction as u, it must be a multiple n of u.
therefore v = (3×2, 4×2) = (-6,8)
Kepler's 3rd law
p^2 = 5.2 ^3
p^2 = 140.608
p = 11.857
Hope this helps
Their is superposition but their is no law of superposition.
Answer:
The value of g is
Explanation:
From the question we are told that
The mass of the weight is
The spring constant
The second harmonic frequency is
The number of oscillation is
The time taken is
Generally the frequency is mathematically represented as
At second harmonic frequency the length of the string vibrating is equal to the wavelength of the wave generated
Noe from the question the vibrating string is just half of the length of the main string so
Let assume the length of the main string is
So
The velocity of the vibrating string is mathematically represented as
Where T is the tension on the string which can be mathematically represented as
So
Then
=>
=>
=>
substituting values
Generally the period of oscillation is mathematically represented as
=>
The period can be mathematically evaluated as
substituting values
Therefore
so
substituting for L
=>
Answer:
Explanation:
The system can be modeled as,
Using magnitude relationship for imbalance system.
Check attachment for solution