Answer:
a) T = 2 π√ (m / k) c) T = 2 s , f = 0.5 Hz
Explanation:
a) In an oscillatory system the angular velocity is
w = √ (k / m)
where w is the angular velocity, k the constant of the spring and m the applied mass
the angular velocity is related to the frequency and the period
w = 2π f
f = 1 / T
w = 2π / T
we substitute
2π / T = √ k / m
T = 2 π√ (m / k)
b) The units If kilograms (m = [kg]) are for the masses, the spring constant is in Newton per meters (k = [N / m], angular velocity in (w = [rad / s]
c) they ask us the period if we have 10 cycles in 5 s
T = 10/5
T = 2 s
f = 1 / T
f = 0.5 Hz
