Q1

1

• Q1
• If you double he spring constant of a harmonic
  oscillator, the oscillations frequency does what?
• Decreases by a factor of 2.
• Decreases by a factor of sqrt(2).
• Does not change.
• Increases by a factor of 2.
• Increases by a factor of sqrt(2).

2

• Q2
• A glider on an air track is connected by a spring
  to the end of the air track. If it takes 0.30 s
  for the glider to travel the distance of 12 cm
  from one turning point to the other, its
  amplitude is
• 12 cm.
• 6 cm.
• 24 cm.
• 36 cm.
• 3.6 cm.
• Not enough info to answer.

3

• Q3
• Consider the glider of Q2. Its phase rate is
• 0.30 1/s.
• 0.15 1/s.
• 0.60 1/s.
• 3.77 1/s.
• 0.096 1/s.
• Some other result.

4

• Q4
• A glider on an air track is connected by a spring
  to the end of the air track. If it is pulled 3.5
  cm in the x direction away from its equilibrium
  point and then released from rest at t0, what is
  the initial phase
• 0.
• p/4.
• C. p/2.
• D. p.
• E. 3p/2.
• F. Some other result.

5

• Q5
• A glider on an air track is connected by a spring
  to the end of the air track. If it is pulled 3.5
  cm in the -x direction away from its equilibrium
  point and then released from rest at t0, what is
  the initial phase
• 0.
• p/4.
• C. p/2.
• D. p.
• E. 3p/2.
• F. Some other result.

6

• Q6
• A mass hanging from the end of a spring has a
  phase rate of w6.3 1/s (1 cycle/s). Lets
  define t0 to be when the mass passes x0 going
  up. If its speed as it passes is 1.0 m/s, what is
  its amplitude A?
• 0.
• 0.16 m.
• 1.0 m.
• 6.3 m.
• Not enough info to tell.

7

• Q7
• To double the period of a pendulum, you need to
  multiply its length by a factor of
• 1/2.
• 2.
• Sqrt(1/2).
• Sqrt(2).
• 4.
• Some other factor.

8

• Q8
• What will be the natural oscillation period of a
  30-kg child on a swing whose seat is 3.2 m below
  the bar where the chains from the seat are
  attached?
• Approx 0.5 sec
• Approx 1 sec
• Approx 4 sec
• Approx 10 sec
• Approx 40 sec

9

• Q9.How do you measure the mass of an astronaut in
  orbit? For the Skylab program, NASA engineers
  designed a Body Mass Measuring Device. It is
  essentially a chair of mass m20 kg mounted on a
  spring. (The other end is connected to the
  massive Skylab itself.) The period of oscillation
  of the empty chair is measured to be 1 s. When an
  astronaut is sitting in the chair, the period is
  2 s. What is the mass of the astronaut?
• Approx 20 kg
• Approx 40 kg
• Approx 60 kg
• Approx 80 kg
• None of the other options

10

• Q10 Known mobster and gambler Larry the Loser is
  found dead, hanging at about the 7-story level
  from a bungee cord tied to the top of the
  15-story (45 m) Prudential Building in downtown
  Chicago. Larry has a mass of 90 kg and when the
  bungee cord is cut down, it is found to have a
  relaxed length of 5 stories. Detective Lestrade
  from the Chicago Police Department thinks that
  Larry must have been bungee-jumping from the top
  of the building and just unluckily hit the
  ground, but you know that Larry was murdered.
  What is your evidence?