NUS PC1141 (2011) Tutorial III
(26 September 2011 30 September 2011)
Please attempt the following questions before attending the tutorial.
1. A 15.0-kg stone slides down a snow-covered hill, leaving point A with a speed of 10.0 m/s.
There is no friction o
Linear Momentum
& Collisions
PC1141 Lectures 11
Linear Momentum
Linear momentum tells us both something about the object
and something about its motion.
The linear momentum of a particle of mass m moving with
velocity v is defined to be:
Components (re
Static Equilibrium &
Elastic Property of Matter
PC1141 Lectures 17
Equilibrium & Static Equilibrium
Equilibrium means that an object is at rest or its center of
mass moves with constant velocity.
Static equilibrium refers to the former situation (object a
Wave Motion
PC1141 Lecture 21
Introduction
Many types of wave motion are encountered in physical
world.
Main types : mechanical waves & electromagnetic waves.
radio waves, TV waves
Water waves
Waves on strings,
Infra-red, UV, visible light
drums
x-r
Oscillations:
Simple Harmonic Motion
Damped & Forced Oscillations
PC1141 Lecture 20
Examples of Oscillatory Motion
Mass on a spring
Pendulum (e.g., simple, physical,
torsion)
Vibrations of a stringed musical
instrument
Electromagnetic waves (light, radio,
PC1141: Lecture 02
Measurements &
Kinematics in 1 Dimension
Quantities and Units
Experiments require measurements of
physical quantities.
Every measurement give a number with a
unit.
SI (metric) vs Imperial (British)
(Costly mistake : Mars Climate Orb
Physics Formulae and Definitions
For Science (5053/1, 2)
Version 1.0
Measurement
Density (Scalar)
Mass per unit volume of a substance
Kg/m3
= or density =
Mass (Scalar)
Measure of amount of substance in a body,
Kg
Weight (Scalar)
It is the pull of gravity
Chapter 1 Physical Quantities
Physical Quantity
Length
Mass
Time
Electric Current
Temperature
Prefix
mega
kilo
centi
milli
micro
nano
Name of SI unit
Metre
Kilogram
Second
Ampere
Kelvin
Symbol for Unit
m
kg
s
A
K
Symbol
M
k
c
m
n
Power
106
103
10-2
10-3
1
First Toa Payoh Secondary School
Secondary 3 N(A)
Topic: Dynamics
(
Name:
Class:
)
Date:
Learning Objectives
DYNAMICS
3. Gravitational Force & Weight
Scalars and Vectors (Recap)
Addition of Scalars and Vectors
Newtons First Law of Motion
Newtons Second La
Rotational
Dynamics &
Rolling Motion
PC1141 Lecture 15
Definition of Torque
Torque (moment) is a measure of the tendency of a force to
rotate an object about some axis.
The line of action of a force
is an imaginary line
extending out both ends of
the vect
NUS PC1141 (2010) Tutorial One
(23 August 2010 27 August 2010)
Please attempt the following questions before attending the tutorial.
1. Speedy Sue, driving at 30.0 m/s, enters a one-lane tunnel. She then observes a slowmoving van 155 m ahead travelling at
NUS PC1141 (2011) Tutorial IV
(10 October 2011 14 October 2011)
Please attempt the following questions before attending the tutorial.
1. A stick of length L and mass M has a linear density proportional to the distance from one end.
Calculate the moment of
NUS PC1141 (2011) Tutorial VI
(7 November 2011 11 November 2011)
Please attempt the following questions before attending the tutorial.
1. A cube of ice whose edges measure 20.0 mm is floating in a glass of ice-cold water with one
of its faces parallel to
NUS PC1141 (2011) Tutorial II
(5 September 2011 9 September 2011)
Please attempt the following questions before attending the tutorial.
1. Block A weighs 8.0 N and block B weighs 16.0 N. The coefficient of sliding friction between
all surfaces is 0.25. Fi
NUS PC1141 (2011) Tutorial V
(24 October 2011 28 October 2011)
Please attempt the following questions before attending the tutorial.
1. Two friends are carrying a 200-kg crate up a flight of stair. The crate is 1.25 m long and 0.50
m high, its center of g
NUS PC1141 (2011) Tutorial V
(Solutions to the optional problems)
6. A uniform rod of weight Fg and length L is supported at its ends by a frictionless trough as
shown in the figure below.
(a) Show that the centre of gravity of the rod must be vertically
NUS PC1141 (2011) Tutorial III
(Solutions to the optional problems)
5. A proton of mass m moves in one dimension. The potential energy function is U(x) = /x2
/x, where and are positive constants. The proton is released from rest at x0 = /.
(a) Show that U
NUS PC1141 (2011) Tutorial I
(Solutions to the optional problems)
5. A projectile is fired up an incline (incline angle ) with an initial speed vi at an angle i
with respect to the horizontal (i > ), as shown below.
(a) Show that the projectile travels a
Additional Examples
Ex: 2008 Final Exam
A cylindrical container of an incompressible liquid with
density rotates with constant angular speed about its axis
of symmetry, which we take to be the y-axis.
d
Example (Continued)
a) At a given distance r to the
Work & Kinetic Energy
PC1141 Lecture 09
Motivation : Motion in vertical circle
We have earlier analyzed the motion of a particle in a
vertical circle. By resolving forces into tangential and radial
components:
Qn: Can we write down the speed
of m, at any
PC1141 Lecture 05
Newtons Laws of Motion
Newtons Laws of Motion
Describes the relationship between
the motion of a body (kinematics) and
the mass and forces acting on it.
Classical mechanics deals only with
objects:
large compared with atomic
dimension