Welcome to PC1431 Physics IE (Lecture Group 1)
1
PC1431
Mechanics (2/3)
Thermodynamics(1/3)
Calculus-based (A-Level Mathematics)
Lectures
Online Assignment
(10%)
Term Test (20%)
Tutorials
Practical (10%)
Final Exam (60%)
2
The emphasis of PC1431 is on Pro

Rotation of Rigid Bodies
1
Understanding Physics
Kinematics of a rigid body
rotating about a fixed axis
2
Angular position
Consider a rigid body that rotates about a fixed axis.
The axis (the
axis) passes through point
the diagram: the
plane.
and is perpe

Dynamics of
rotational motion
1
Understanding Physics
Dynamics of a rigid body
rotating about a fixed axis
2
Torque
When a force acts at a point having a position vector with respect to an origin
, the torque of the force with respect to is the vector pro

Summary of Lectures 1, 2, 3, and 4
1
Kinematics
Along a straight line
In 2 or 3 dimensisons
Position Position vector
Change in Position Displacement vector
Average velocity vector
2
Kinematics (cont)
Along a straight line
In 2 or 3 dimensisons
Insta

Engineering Physics
PC1431 Lecture Tutorial (Week 13)
1. Two thermally insulated vessels are connected by a narrow tube fitted with a valve that is
initially closed. One vessel, of volume V1 , contains oxygen at a temperature of T1 and a
pressure of p1 .

PC1431 Revision Lecture 2014
1
PC1431 Test 2014 Question 14 (20%)
A gardener pushes a 12 kg lawnmower
whose handle is tilted up 37 above
horizontal. The lawnmowers coefficient
1.2 ms
37
of friction is 0.15. How much power
0.15
does the gardener have to s

*no need to worry abt derivations in this lec
Kinetic-Molecular Model of an Ideal Gas, Heat Capacities
1
ignore effects of gravity - there is a gradient of p.e. w elevation - but here not considered;
imagine a balloon - if no net F, it will remain in same

Lecture Tutorial on Thermodynamics
1
Question 1
0
Two thermally insulated vessels are connected by a narrow tube fitted with a
, contains oxygen at a
valve that is initially closed. One vessel, of volume
temperature of
and a pressure of . The other vessel

The Second Law of Thermodynamics
1
Directions of thermodynamic processes
Thermodynamic processes that occur in nature are all irreversible processes
these proceed spontaneously in one direction but not the other. They proceed
naturally in the direction o

The First Law of Thermodynamics
1
Thermodynamic systems
In general, a thermodynamic system is any collection of objects that is
convenient to regard as a unit, and that may have the potential to exchange
energy with its surroundings.
2
Thermodynamic syste

NATIONAL UNIVERSITY OF SINGAPORE
PC1431 PHYSICS IE
(Semester II: AY 2013-14)
Name of Examiner: Dr. Nidhi Sharma
Time Allowed: 2 Hours
INSTRUCTIONS TO CANDIDATES
1. Please write your matriculation number only. Do not write your name.
2. This examination pa

Tutorial 1: Solutions
Question 1
Shooting a projectile with initial velocity v0 from origin (0, 0), according to Figure 1,
v0
is negative!
R
Figure 1:
The trajectory is described by the projectile equations
y = x tan
2
2v0
g
x2 ,
cos2
(1)
while we deno

PC1431 Physics IE: Tutorial 2 (solutions)
Question 1
Kathy and Tommy stand on a platform of negligible weight as shown in Figure 1. Tommy
weighs 500 N and Kathy weighs 400 N. Kathy is supporting some of her weight on the
end of the rope she is holding. Wh

Work and kinetic energy
1
Understanding Physics
Kinematics + Newtons 2nd law
Work-energy theorem
2
Work-energy theorem
Consider a particle with mass moving along the
the action of a constant net force.
axis from point
to
sin
cos
is constant. Suppose the

Potential energy and energy conservation
1
Understanding Physics
Work-energy theorem
Conservation of mechanical energy
2
Gravitational potential energy
Consider a body with mass falling
freely along the (vertical)
axis from
point
to
(
). Let its speed at

Applying Newtons Laws
1
Frictional force
2
Friction force
The friction force exerted on an object by a surface acts parallel to the surface.
The direction of the friction force is always such as to oppose relative motion of the
two surfaces.
Remark 1: The

Motion in Two or Three Dimensions
1
An important example of
motion in two dimensions
2
Projectile motion
A projectile is any body that is given an initial velocity and then follows a path (its
trajectory) determined entirely by the effects of gravitationa

Motion along a straight line
1
An important example of
motion along a straight line
15 Feb 1564 8 Jan 1642
2
Freely falling bodies
If the effects of the air can be
If in addition the distance of the fall is
neglected, all bodies at a particular
small comp

Newtons Laws of Motion
1
Newtons first law
How does one tell if a force is
acting on our moon?
2
Newtons first law
Newtons first law of motion: Every
body continues in a state of rest or of
uniform motion in a straight line except
insofar as it is compell

Momentum, Impluse, and Collisions
1
Understanding Physics
Kinematics + Newtons 2nd law
Impulse-momentum theorem
2
Momentum and impulse
Consider a particle of (constant) mass
acted on by a constant net force
during a time interval from to . The particles

PC1431 Physics IE: Tutorial 5
Question 1
As a sample of ideal gas is allowed to expand adiabatically, its pressure drops from 125
to 105 kPa, and its temperature drops from 300 K to 280 K. Is the gas monatomic or
diatomic?
Solution: The data given are
P1

PC1431 Physics IE: Tutorial 4 (solutions)
Question 1
A uniform disk rotates at 3.60 rev/s around a frictionless spindle. A non-rotating rod, of the same mass
as the disk and equal in length to the disks diameter,
is dropped onto the freely spinning disk a

PC1431 Physics IE: Tutorial 3 (solutions)
Question 1
A pendulum, comprising of a string of length L and a small sphere, swings in the vertical
plane. The string hits a peg located a distance d below the point of suspension, as shown
in Figure 1.
Figure 1:

NATIONAL UNIVERSITY OF SINGAPORE
PC1431 PHYSICS IE
(Semester II: AY 201213)
Time Allowed: 2 Hours
INSTRUCTIONS TO CANDIDATES
1. This examination paper contains six(6) short questions in Part I and three(3) long
questions in Part II.
The three long q