What is the basic formula for the harmonic of a standing wave
2 answers:
The basic formula for the harmonic of a standing wave, describing the relation between the length and the wavelength is,
<u>Explanation:</u>
Standing waves are produced if two waves of same frequencies interfere each other in such a way that it produce points that appears to be standing still in the medium.
On studying the wave patterns analytically, we see that there is a direct relationship between the length of the medium in which the wave pattern is seen and the wavelength of the waves.
With other experimental researches and studies, it has been concluded that the length of the medium that draws a string covered by a harmonic of a standing wave is equal to half of wavelength of the wave pattern i.e., the equation for the nth harmonic of a standing wave is,
Where,
L- Length of the string covered by the single loop of a complete wave
n- An integer representing the harmonic number
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Answer:
The constant force with least magnitude that must be applied to the board in order to pull the board out from under the box is
Explanation:
The Newton’s second law states that the net force on an object is the product of mass of the object and final acceleration of the object. The expression of newton’s second law is,
Here, is the sum of all the forces on the object, mm is mass of the object, and aa is the acceleration of the object.
The expression for static friction over a horizontal surface is,
Here, is the coefficient of static friction, mm is mass of the object, and
is the acceleration due to gravity.
Use the expression of static friction and solve for maximum static friction for box of mass
Substitute for in the expression of maximum static friction
Use the Newton’s second law for small box and solve for minimum acceleration aa to pull the box out.
Substitute for , [/tex]{m_1}[/tex] for in the equation .
Substitute for
in the equation
Rearrange for a.
The minimum acceleration of the system of two masses at which box starts sliding can be calculated by equating the pseudo force on the mass with the maximum static friction force.
The pseudo force acts on in the direction opposite to the motion of the board and the static friction force on this mass acts in the direction opposite to the pseudo force. If these two forces are cancelled each other (balanced), then the box starts sliding.
Use the Newton’s second law for the system of box and the board.
Substitute for for in the equation .
Substitute for in the above equation .
The constant force with least magnitude that must be applied to the board in order to pull the board out from under the box is
There is no friction between the board and the surface. So, the force required to accelerate the system with the minimum acceleration to slide the box over the board is equal to total mass of the board and box multiplied by the acceleration of the system.