PHYB54- 2014
Assignment-2
Due date: Tuesday, Feb 11 at the beginning of the Lecture
Q1:
Consider the motion of an electron, of mass m and charge e , under the
influence of a combined uniform electric field E = E0 , and a uniform magnetic
j
field B = B0 k

PHYB54- 2014
Sample Solution Assignment-4
Q2: (7 points)
You can solve this with Lagrange formalism. I will simply do it using conservation
of energy.
Q3: (10 points)
Q4: (8 points)
The Kinetic energy T -matrix is therefore

PHYB54- 2014
Sample Solution Assignment-1
Q1: A- (5 points)
B (5 points)
(i)
Comments
(i)
The requirement (2), of equality of dimensions in a physical equation, is the
essence of the method of dimensional analysis. It is a conse

PHYB54- 2014
Sample Solution Assignment-3
Q1: (8 points)
First: using complex number solutions:
We use the technique used in class for one-dimensional problems with position-dependent forces F(x).
Thus, we express the equation of motion
Consequently,

PHYB54- 2014
Sample Solution Assignment-2
Q1: A- (10 points)
Three examples of trochoidal motion (corresponding to the cases a < b, a D b
and a > b) are shown in Figure (Top: a < b. Centre: a D b (the cycloid), Bottom: a >
b.

PHYB54- 2014
Assignment-1
Due date: Thursday at the beginning of the Lecture
Q1:
A- A mass m slides on a plane as shown in the Figure. The plan has a mass
M and can move horizontally. Neglecting friction between all surfaces f

PHYB54- 2014
Assignment-3
Due date: Thursday, March 06 at the beginning of the Lecture
Q1:
A particle of mass m, is connected to a one-dimensional spring, with restoring force
F = kx (Here, k is a positive constant. This is different from the standard res

PHYB54-Winter-2014
Chapter 4
Chapter 4
Oscillations
In this Chapter different types of oscillations will be discussed. A particle carrying out
oscillatory motion, oscillates around a stable equilibrium position (note: if the equilibrium
position was a pos

PHYB54 Quiz-2
Sample Solution
Q1 (10 points):
This question can be solved by three methods. Using Newtons laws of motion,
using conservation of energy or Lagrange formalism. You can calculate small
oscillation in terms of x the displacement of the mass m

Sample Solution PHYB54 Test
I will try to explain the solution in details; you do not have to do so on the test.
Q1A- (4 points):
.
Q1B- (6 points):
Bonus: (3 points)
If the maximum height is H, one can show from part (i) that
Q2- (10 points):
1
I = mL2
3

PHYB54 Quiz-1
Sample Solution
Q1 (10 points):
If the damping resistance b is negative, the equation of motion is
The three distinguished cases are:
which again is ever-increasing.
This solution also increases continuously with time.
The tree cases describ

2. Forces
In this section, we describe a number of dierent forces that arise in Newtonian mechanics. Throughout, we will restrict attention to the motion of a single particle. (Well
look at what happens when we have more than one particle in Section 5). W

University of Toronto Scarborough
Physics PHYB54H3 Final Exam
Date: April 16, 2012, 9:00 am
Duration: 2 Hours
This exam comprises 4 printed pages.
All 5 questions are to be attempted. Each of the 5 questions is worth 20 marks.
Please refer to the Some

PHYB54- 2014
Assignment-5
Due date: Thursday, April 03 at the beginning of the Lecture
Q1: This question is to reproduce the graphs we discussed in class for the Damped
Driven Oscillator.
Part-I: (Configuration Space) Produce separate graph for each case.

PHYB54- 2014
Assignment-4
Due date: Thursday, March 21 at the beginning of the Lecture
Q1:
(a) A uniform rod of length 2l rocks to and fro on the top of a rough
semicircular cylinder of radius a. Show that the period of small oscillations is
given by
(b)