Activity 1 - Vibration

Activity objectives

A. To analyze the x(t), v(t) and a(t) of a mass spring system using Tracker.

B. To analyze K(t) and U(t) of a mass spring system using Tracker.

C. To determine the length of a simple pendulum from its period using Tracker.

D. To analyse the damped motion using Tracker.

Pre-activity

If you wish to install the software on your machine. HERE
If you just want to use the web version with limited functionality and control. HERE or HERE

PART A

Plot the x(t), v(t) and a(t) as follows.

2. Determine

(a) the period.
(b) the frequency.
(c) the amplitude.
(d) the maximum velocity.
(e) the maximum acceleration.

3. Set x(0)=0. Write down the mathematical function of x(t), v(t) and a(t) .

4. Describe the relation between x(t), v(t) and a(t) .

PART B

Given m = 0.040 kg. Plot K(t) and U(t) as follow:

2. Determine when K is maximum and minimum.

3. Determine when U is maximum and minimum.

4. Can energy be negative value?

5. Determine K and U at t = 0.2 s and 0.7s. (Revise your graphs)

6. What is the relation between K(t) and U(t)?

PART C

Determine the length of the given pendulum (use video C in GD) using tracker.
Check your answer using AI tools (i.e: Gemini, ChatGPT, Claude)

PART D

Record the oscillation of a mass spring system until its permanently stop.
How long it takes to stop from the initial release?

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