Answer:
2 m/s²
Explanation:
Given;
Magnitude of the force, F = 2m
mass of the vibrating system = m
Now,
The step force is given as;
F = kA
where, k is the spring constant
A is the amplitude of the vibration
therefore,
A = (F / k)
or
A = (2m / k)
also,
Acceleration, a = Aω²
where,
ω is the angular velocity = √(k / m)
therefore,
a = A × √(k / m)²
or
[tex]a=\frac{2m}{k}\times\frac{k}{m}[/tex]
or
a = 2 m/s²
