Shm motion, acceleration is proportional to
select one:
a. Velocity
b. Displacement
c. None of these
d. Rate of change of velocity
Answers
An object is undergoing simple harmonic motion (SHM) if; the acceleration of the object is directly proportional to its displacement from its equilibrium position. the acceleration is always directed towards the equilibrium position. the acceleration of the object is directly proportional to its displacement from its equilibrium position.
the acceleration is always directed towards the equilibrium position.
The frequency (f) of an oscillation is measure in hertz (Hz) it is the number of oscillations per second. The time for one oscillation is called the period (T) it is measured in seconds.
frequency and time period
Acceleration – we can calculate the acceleration of the object at any point in it’s oscillation using the equation below.
SHM acceleration
In this equation; a = acceleration in ms-2, f = frequency in Hz, x = displacement from the central position in m.
Displacement – When using the equation below your calculator must be in radians not degrees ! we can calculate the displacement of the object at any point in it’s oscillation using the equation below.
SHM Displacement
The terms in this equation are the same as the equations above. The extra terms in this equation are: A = the amplitude (maximum displacement) in m, t = the time since the oscillation began in s.
Velocity– we can calculate the velocity of the object at any point in it’s oscillation using the equation below.
SHM velocity
The terms in this equation are the same as the equations above. The extra term in this equation is: v = the velocity in ms-1.
SHM graphs
When we plot the displacement, velocity and acceleration during SHM against time we get the graphs below.
Explanation:
the motion acceleration and the SHM is proportional to the displacement... ! __ !