Download The diagram to the right shows a block attached to a Hookean

The diagram to the right shows a block attached
to a Hookean spring on a frictionless surface.
The block experiences no net force when it is at
position B.
The mass is pushed to the left from point B to point A and released. The block then oscillates between
positions A and C. Consider point B to be zero position and right of B positive.
Complete the graphs below for this motion.
C
B
A
B
C
B
A
B
C
B
A
B
C
B
A
B
force
B
acceleration
time
position
time
velocity
time
time
B
C
B
A
B
C
B
A
B
C
B
A
B
C
B
A
B
The diagram to the right shows a block attached to a Hookean spring. The block
hangs at rest at position B. The block is raised to A and released. The lowest
position it reaches is C.
The block then oscillates between positions A and C. Consider point B to be zero
position, above B positive and below B negative.
A
1. Sketch a force diagram for the block at positions A, B, C, B, and A as it moves through
a complete oscillation. Your arrow sizes should reflect which force is the largest.
B
C
A
C
B
A
B
2. On the grid below, sketch a graph that you think reflects how the net force
acting on the block changes as a function of time. Start your sketch at time = 0
which represents when the block was released at Point A.
3. Having completed the sketch of force vs. time, sketch the acceleration vs. time, position
vs. time, and velocity vs. time
B
C
B
A
B
C
B
A
B
C
B
A
B
C
B
A
net force
A
acceleration
time
position
time
velocity
time
time
A
B
C
B
A
B
C
B
A
B
C
B
A
B
C
B
A
The diagram to the right shows a block
attached to a Hookean spring on a
frictionless surface. The block
experiences no net force when it is at
position B.
A
40.0cm
B
C
The mass is pushed to the left from point B to point A and released. The block then oscillates
between positions A and C. Assume that the system consists of the block and the spring and that
no dissipative forces act.
4. The block takes 40.0 s to make 20 oscillations. What is the “period of oscillation” for this
system?
2. What is the frequency of this oscillating system? Note: Frequency is the name given to the
quantity that measures the number of complete cycles that a periodic system makes per unit time.
3. What is the amplitude of vibration of this system?
4. Explain what would happen to the period and frequency of this system if you were to double the
amplitude while keeping the mass and spring constant the same.
5. Explain what would happen to the period and frequency of this system if you were to double the
mass while keeping the amplitude and spring constant the same.
6.
Explain what would happen to the period and frequency of this system if you were to double the
spring constant while keeping the amplitude and mass constant.
7.
The position vs. time graph below describes the motion of this system for four cycles. Complete
sketches for the other graphs shown based on this position vs. time graph.
C
B
A
B
C
B
A
B
C
B
A
B
C
B
A
B
position
B
velocity
time
acceleration
time
force
time
time
C
B
A
B
C
B
A
B
C
B
A
B
C
B
A
B
kinetic energy
B
elastic energy
time
total energy
time
B
time
C
B
A
B
C
B
A
B
C
B
A
B
C
B
A
B