In simple harmonic motion
At what displacement the PE and KE of simple harmonic oscillator is maximum?
At what displacement (i) the P.E. of a simple harmonic oscillator is maximum and minum (ii) the K.E. is maximum and minmum?
K is maximum when y=0
, i.e., the particle is passing from the mean position and K is minumum when y=a i.e., the particle is passing from the extremen position.
At which position during SHM energy of oscillation is maximum?
When the kinetic energy is maximum, the potential energy is zero. This occurs when the velocity is maximum and the mass is at
the equilibrium position
. The potential energy is maximum when the speed is zero. The total energy is the sum of the kinetic energy plus the potential energy and it is constant.
When displacement of SHM is maximum?
When the mass is at the maximum displacement position,
velocity is zero
because the mass is changing direction. At the position of maximum displacement, the restoring force
What is the maximum displacement of an oscillator?
Maximum displacement is
the amplitude X
. The period T and frequency f of a simple harmonic oscillator are given by T=2π√mk T = 2 π m k and f=12π√km f = 1 2 π k m , where m is the mass of the system.
At what position is the potential energy minimum in SHM?
In which of the following positions is the potential energy minimum in S.H.M? Notes: Potential energy maximum and equal to total energy at extreme positions. Potential energy is minimum at
mean position
.
At which position kinetic energy is maximum and minimum and why?
At mean position kinetic energy
is maximum and potential energy is minimum.
What time period is SHM?
The time it takes the mass to move from A to −A and back again is the time it takes for ωt to advance by
2π
. Therefore, the period T it takes for the mass to move from A to −A and back again is ωT = 2π, or T = 2π/ω. The frequency of the vibration in cycles per second is 1/T or ω/2π.
Does the period depend on the length?
The period of a pendulum does not depend on the mass of the ball,
but only on the length of the string
. Two pendula with different masses but the same length will have the same period. Two pendula with different lengths will different periods; the pendulum with the longer string will have the longer period.
What is Omega in SHM?
It says that the displacement is equal to the amplitude of the variation, A, otherwise known as the maximum displacement, multiplied by sine omega-t, where omega is
the angular frequency of the variation
, and t is the time. … Angular frequency is the number of radians of the oscillation that are completed each second.
WHAT IS A in SHM?
Each of these constants carries a physical meaning of the motion: A is
the amplitude (maximum displacement from the equilibrium position)
, ω = 2πf is the angular frequency, and φ is the initial phase.
What is the formula for period of oscillation?
each complete oscillation, called the period, is constant. The formula for the period T of a pendulum is
T = 2π Square root of√
L
/
g
, where L is the length of the pendulum and g is the acceleration due to gravity.
How does mass affect period of oscillation?
A stiffer spring with a constant mass decreases the period of oscillation.
Increasing the mass increases the period of oscillation
. For example, a heavy car with springs in its suspension bounces more slowly when it hits a bump than a light car with identical springs.
At what position is the potential energy minimum?
The lower position
is the position for minimum potential energy: it is the stable configuration for equilibrium.
At what position is the potential energy maximum?
As an object falls under the influence of gravity, potential energy is greater than kinetic energy
after halfway point/ before the halfway point
.
In which situation potential energy is minimum?
The
potential energy due to gravity
is at a minimum, since the mass is lifted the least amount above ground. In fact, if ground level is imagined at the bottom of the motion, the potential energy due to gravity is zero at this point of the motion.
