The Amplitude of the resulting simple harmonic motionNFuller said:
What is the initial position of the block with rspect to the new equilibrium point?Hydrous Caperilla said:
ehild said:
The intial position of the block is at the point where the spring is relaxedehild said:
Yes, and it will perform SHM about the new equilibrium point. At t=0, what is its displacement with respect to that point?Hydrous Caperilla said:
I got the new equilibrium point from that...I am confused about how to proceed after thatNFuller said:
F/k in my opinionehild said:
Yes. Write the time dependence of the displacement of the box for t ≥ 0.Hydrous Caperilla said:
If the problem is asking for the SHM about this new equilibrium point, then you need to know something about the velocity of the block at that point. It seems like your post is missing half of the problem.Hydrous Caperilla said:
The block is at rest and the spring is relaxed initially. So you know the position and velocity at t =0. No need for the velocity at the new equilibrium.NFuller said:
The equation of displacement will be :X=Asin( ωt+ Φ). At t=0, F/k=Asin( Φ).ehild said:
You said the block is at rest at this point...won't this mean this is the amplitude point because at amplitude velocity is zero?ehild said:
Yes, the displacement of the block from its new equilibrium is biggest at t=0, when it is in rest. And the biggest displacement from equilibrium is the amplitude.Hydrous Caperilla said:
The amplitude of oscillation is the maximum displacement of an oscillating object from its equilibrium position. It is a measure of the magnitude of the oscillation and is usually represented by the symbol "A".
The amplitude of oscillation can be calculated using the formula A = (maximum displacement - equilibrium position). This means that the amplitude is equal to the difference between the highest point and the lowest point of the oscillation.
The amplitude of oscillation can be affected by several factors, including the energy input into the system, the frequency of oscillation, and the damping force. In general, a higher energy input or a lower damping force will result in a larger amplitude of oscillation.
The amplitude of oscillation is not directly related to the period, which is the time it takes for one complete oscillation. However, the amplitude can affect the period by changing the time it takes for the oscillation to reach its maximum or minimum point.
Finding the amplitude of oscillation is important in many practical applications, including in engineering, physics, and music. It can help determine the stability of structures, the accuracy of timekeeping devices, and the intensity of sound waves.
