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
