SHM Flashcards
Oscillatory Motion
Periodic motion that is to and fro motion
Maximum acceleration is at which position
w^2A, where w is the angular frequency and A is the amplitude
The maximum acceleration is at the extreme position
Equation of displacement, velocity and acceleration
x = Asin(wt+phi)
v= Awcos(wt+phi)
a = -Aw^2sin(wt+phi)
What is the graph of force, acceleration and velocity vs displacement
Force and acceleration vs displacement is a linear graph with a negative slope
Velocity vs displacement is a ellipse
Value of acceleration and velocity in terms of displacement
Acceleration = w^2
Velocity = w(A^2-x^2), where x is the displacement
Value of Kinetic Energy
K(A^2-X^2)/2 where mw^2=k
Maximum and minimum value of kinetic energy
Minimum at extreme position where it is 0
Maximum at mean position where it is KA^2/2
Value of potential energy
Uo + kx^2/2 where Uo= Potential Energy at mean position
Minimum and maximum value of Potential energy
Minimum is at mean position where it is Uo
Maximum is at extremes where it is Uo+KA^2/2
In a spring block system, what is the angular frequency and time period?
w= root(k/m)= 2pi/T
where T= time period
What is the relation extension in equilibrium and spring constant in vertical spring block system
Kx=mg
X= extension in equilibrium
Keff in series and parallel combination
Series - Tension is same
Keff = k1k2/k1+k2
Parallel - Extension is same
Keff = k1+k2
Time period of a simple pendulum
T= 2pi root(l/g) where l= length of the pendulum
What happens when waves having same direction and same frequency superimpose?
The resultant of the waves becomes root(a1^2 + a2^2 + 2a1a2cosθ)
What happens when waves having same direction and different frequency superimpose?
The motion is not SHM
What happens when the waves are perpendicular to each other with same angular frequency?
If the initial phase is 0, it is a straight line with amplitude root(a1^2 + a2^2)
If the initial phase is π, it is a straight with negative slope with amplitude root(a1^2+a2^2)
If the initial phase is π/2, it is a ellipse
