Question 1:
(a) A mass of 0.55 kg is suspended from the ceiling by a spring
which then oscillates with simple harmonic motion. If the period of
oscillation is measured to be 0.75 sec, what is the spring
constant?
(b) A mass-spring system with a damper has a mass of 0.5 kg, a
spring constant of 60 N/m, and a damping coefficient 10 Ns/m. Is
the system underdamped, critically damped, or overdamped?
(c) A pendulum of mass 6.5 kg hangs in equilibrium. A frustrated
student walks up to it and kicks the bob with a horizontal force of
30.0 N applied over 0.30 s. What is the length of the pendulum if
it has a period of 5.0 s? What is the maximum angle of displacement
of the swinging pendulum?
