F40 BMB
Basic Engineering
Mechanics B
Lesson 4
Rotation II
(Reference1: Chapter 10, page 263-270)
Semester 2 (2015/2016)
1
Objectives:
Able to calculate the center of mass of one dimensional
object.
Able to apply moment of inertia for common objects
(sp
F40 BMB
Tutorial 3
1.
What is the angular speed of the second hand of a watch? [/30 rad/s or 0.1047 rad/s]
2.
A phonograph turntable rotating at 78 rev/min slows down and stops in 32 s after the
motor is turned off. (a) Find its (uniform) angular accelera
F40 BMB
Tutorial 4
1.
Determine the rotational inertia of a 1.0 m meter stick, with mass 0.48 kg, about an
axis perpendicular to the stick and located at the 80.0 cm mark.
[0.0832 kgm2]
2.
Determine the rotational inertia of a 1.20 m long cylindrical rod,
F40 BMB
Basic Engineering
Mechanics B
Lesson 5
Torque and Angular
Momentum
(Reference1: Chapter 10, page 256-263,
Chapter 11, page 284-295)
Semester 2 (2015/2016)
1
Objectives:
Calculate the torque applied to objects.
Able to calculate net torque using
F40 BMB
Basic Engineering
Mechanics B
Lesson 6
Oscillations I
(Reference1: Chapter 14, page 369-376)
Semester 2 (2015/2016)
1
Objectives:
Able to differentiate between simple harmonic motion and
conventional motion.
Able to calculate amplitude, frequenc
F40 BMB
Tutorial 2
1.
A child moves with a speed of 1.50 m/s when she is 1.90 m from the center of a
merry-go-round. Calculate (a) the centripetal acceleration of the child and (b) the net
horizontal force exerted on the child (mass = 25 kg). [1.18 m/s2;
F40 BMB
Tutorial 1
1.
A child sitting 1.20 m from the center of a merry-go-round moves with a speed of
1.25 m/s. Calculate (a) the period of the motion and (b) the centripetal acceleration of
the child. [6.03 s; 1.30 m/s2]
2.
What is the magnitude of the
F40 BMB
Tutorial 6
1.
A uniform cylindrical wheel has a mass of 3.20 kg and 32.0 cm diameter. The cylindrical wheel is
initially rotating at 1200 rpm. (a) What is the angular momentum of the cylindrical wheel at the
instant? (b) If it was required to stop
F40 BMB
Basic Engineering
Mechanics B
Lesson 4
Rotation II
(Reference1: Chapter 10, page 263-270)
PROOF
Semester 2 (2015/2016)
1
Calculating the Rotational Inertia
Parallel-Axis Theorem
We can easily find the rotational inertia I of a body of mass M abou
F40 BMB
Basic Engineering
Mechanics B
Lesson 7
Oscillations II
(Reference1: Chapter 14, page 377-382)
Semester 2 (2015/2016)
1
Objectives:
Understand the energy in simple harmonic motion.
Able to calculate kinetic energy and potential energy in
SHM.
Ab
F40 BMB
Tutorial 5
1.
In opening a 48.0 cm wide window, a lady exerts a force of 28.0 N on the end of the
window. Determine the magnitude of the torque if the force is applied (a)
perpendicular to the window, and (b) at an angle 50.0o to the face of the w
F40 BMB
Tutorial 8
1.
An oscillating block-spring system has a mechanical energy of 1.18 J, an amplitude
of 9.84 cm, and a maximum speed of 1.22 m/s. Find (a) the force constant of the
spring, (b) the mass of the block, and (c) the frequency of oscillatio
F40 BMB
Tutorial 7
1.
A 4.10 kg block extends a spring 13.8 cm from its unstretched position. The block is
removed and a 0.690 kg object is hung from the same spring. Find the period of its
oscillation. [291.2 N/m; 0.3059 s]
2.
A fishmongers scale stretch
F40 BMB
Basic Engineering
Mechanics B
Lesson 2
Circular Motion II
(Reference1: Chapter 5, page 122-127,
Chapter 6, page 139-152)
Semester 2 (2015/2016)
1
Objectives:
Able to understand the term centripetal force that acted
on a circulating objects.
Able
Exercise 3: Equity cost of capital
Financial Security Valuation
Please note that problems given on the exercise sheets are not intended to be typical of
the type of problems that will be found in the examination. These problems are intended
to give you pr
Exercise 1: Basics
Financial Security Valuation
Please note that problems given on the exercise sheets are not intended to be
typical of the type of problems that will be found in the examination. These
problems are intended to give you practice in materi
Exercise 2: Portfolios
Financial Security Valuation
Please note that problems given on the exercise sheets are not intended to be typical of
the type of problems that will be found in the examination. These problems are intended
to give you practice in ma
Exercise 4: Bonds
Financial Security Valuation
Please note that problems given on the exercise sheets are not intended to be typical of
the type of problems that will be found in the examination. These problems are intended
to give you practice in materia
Exercise 7
Pay-off functions and gBm
Financial Security Valuation
Please note that problems given on the exercise sheets are not intended to be
typical of the type of problems that will be found in the examination. These
problems are intended to give you
Exercise 8
Binomial tree
Financial Security Valuation
Please note that problems given on the exercise sheets are not intended to be
typical of the type of problems that will be found in the examination. These
problems are intended to give you elementary p
Exercise 9
Derivative valuation
Financial Security Valuation
Please note that problems given on the exercise sheets are not intended to be
typical of the type of problems that will be found in the examination. These
problems are intended to give you eleme
Exercise 6: Option basics and pay-off functions
Financial Security Valuation
Please note that problems given on the exercise sheets are not intended to be
typical of the type of problems that will be found in the examination. These
problems are intended t
Exercise 5: Dealing with futures
Financial Security Valuation
Please note that problems given on the exercise sheets are not intended to be
typical of the type of problems that will be found in the examination. These
problems are intended to give you elem
Exercise 10
Valuing derivatives on futures contracts
Financial Security Valuation
Please note that problems given on the exercise sheets are not intended to be
typical of the type of problems that will be found in the examination. These
problems are inten