Answer:
(1) 0.333 Hz
(2) 4 sec
(3) 2 sec, 0.5 Hz
Explanation:
(1) We have given time period of pendulum is 3 sec
So T = 3 sec
Frequency will be equal to 
(2) Frequency of the pendulum is given f = 0.25 Hz
Time period is equal to 
(3) It is given that a pendulum makes 10 back and forth swings in 20 seconds
So time taken to complete 1 back and forth swings = 
So time period T = 2 sec
Frequency will be equal to 
The statement "<span>The motion of a pendulum for which the maximum displacement from equilibrium does not change is an example of simple harmonic motion." is true.
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Answer:
The second system must be set in motion
seconds later
Explanation:
The oscillation time, T, for a mass, m, attached to spring with Hooke's constant, k, is:

One oscillation takes T secondes, and that is equivalent to a 2π phase. Then, a difference phase of π/2=2π/4, is equivalent to a time t=T/4.
If the phase difference π/2 of the second system relative to the first oscillator. The second system must be set in motion
seconds later
Explanation:
a. The net force is the upward force of the chute minus the weight of the crate.
∑F = F − mg
∑F = 150 N − (11 kg) (9.8 m/s²)
∑F = 42.2 N
b. From Newton's second law, the net force equals the mass times acceleration:
∑F = ma
42.2 N = (11 kg) a
a = 3.84 m/s²
c. Acceleration is the change in velocity over change in time. Assuming the crate is released from rest:
v = at + v₀
v = (3.84 m/s²) (5 s) + (0 m/s)
v = 19.2 m/s