Answer:
a)
, b)
, c)
, d)
, e)
, f) 
Explanation:
a) The frequency of oscillation is:


b) The angular frequency is:



Lastly, the speed at the equilibrium position is:



c) The spring constant is:




d) The potential energy when the particle is located 38.1 % of the amplitude away from the equilibrium position is:


e) The maximum potential energy is:


The kinetic energy when the particle is located 38.1 % of the amplitude away from the equilibrium position is:



f) The speed when the particle is located 38.1 % of the amplitude away from the equilibrium position is:




Answer:
The relation between frequency and time period is given by:
f = 1/T
Explanation:
In a wave motion, the particle move about the mean position with the passage of time. The particles rise to reach the highest point which is crest, and similarly falls to reach the lowest point which is trough. The cycle keeps on repeating.
The time period of the wave can be defined as the time taken to complete one such cycle. Time period is given by:
T = 2π/ω
Frequency can be defined as the number of cycles completed in unit time, which can be taken as the inverse of time period. frequency is given by
f = ω/2π
or
f = 1/T
Less than or equal to the magnitude of the vector
a. all systems work together to stabilize the body