Table of Contents
When velocity is maximum and minimum?
If acceleration is negative to the left and positive to the right, the point is a minimum velocity. If acceleration is positive to the left and negative to the right, the point is a maximum velocity.
What is the minimum velocity of the particle?
The particle’s minimum velocity occurs when the displacement is equal to zero. This means that we can substitute đť‘ is equal to zero into our expression for đť‘Ł. đť‘Ł is therefore equal to the square root of one over 98.
In which case velocity is maximum?
Maximum velocity is reached when you stop accelerating, because this is when you can’t gain anymore speed, i.e. acceleration is zero. In other words the derivative of velocity is equal to zero. However, zero acceleration can also result in minimum velocity because you can’t lose any more speed.
How do you find the maximum velocity of a particle?
Now, we know that velocity is maximum when y=0, i.e., displacement is zero and acceleration is zero, which means the system is in equilibrium. Therefore, at a point in simple harmonic motion, the maximum velocity can be calculated using the formula v=Aω.
Can minimum velocity negative?
Negative velocity just means velocity in the opposite direction than what would be positive. From the math point of view, you cannot have “negative velocity” in itself, only “negative velocity in a given direction”. The velocity is a 3-dimension vector, there is no such thing as a positive or negative 3D vector.
When the velocity will be minimum and maximum in SHM?
In simple harmonic motion, the velocity is maximum when the acceleration is minimum.
What is maximum and minimum value velocity in SHM?
The answer has to be zero because a particle performing SHM passes through two points definitely and they being the mean and the extreme position. The particle has its maximum velocity at the mean position denoted by Aω, and its minimum velocity at its extreme position since v=ω(A^2-x^2)^1/2.