ASSIGNMENT 2
SMN 3043 ORDINARY DIFFERENTIAL EQUATIONS
A212
Instructions:
 The assignment should be done in a group of 5 members.
 Please visualize your solution and present it in the form of a video according
to your creativity.
 You are encouraged to use any animated video maker such as Powtoon.
 The duration of the video must be no more than 20 minutes.
 Copy and paste are strictly prohibited and will be closely monitored.
 Due date: 16/6/2022.
QUESTION 1
A mass of 100 grams is attached to a spring whose constant is 1600 dynes/cm.
After the mass reaches equilibrium, its support oscillates according to the formula
h(t) = sin 8t, where h represents displacement from its original position.
(a) In the absence of damping, determine the equation of motion if the mass
starts from rest from the equilibrium position.
(b) At what times does the mass pass through the equilibrium position?
(c) At what times does the mass attain its extreme displacements?
(d) What are the maximum and minimum displacements?
(e) Graph the equation of motion.
[15 marks]
QUESTION 2
1
Find the steady-state current in an LRC-series circuit when L = h, R = 20 Ω,
2
C = 0.001 f, and E(t) = 100 sin 60t + 200 cos 40t V.
[10 marks]