ENGG102
WINTER 2025
SUPPLEMENTARY HOMEWORK ASSIGNMENT
Time allowed: 48 hours from Friday, April 18, 9:00 am (DXB time)
Total marks: 150
NAME: _____________________________
STUDENT ID: ____________________________
Attempt all questions. Solve, scan and upload on the MOODLE link.
Question 1
(25 pts)
In the figure below, a 5.0 kg block A and 7.0 kg block B are connected by a string of negligible
mass. The force FA on block A is equal to 12 N and the force FB on block B is equal to 24 N.
Consider the horizontal surface as frictionless.
a) Draw the free body diagram showing all the forces acting on the two blocks tied
together by the string. (6 pts)
b) Draw the free body diagrams of the two blocks separately from each other. (6 pts)
c) What is the acceleration of the system? (6 pts)
d) Find out the tension in the string. (7 pts)
Question 2
(25 pts)
Consider the beam shown in the figure. Carry out the following tasks.
a) Determine the support reactions. (6 pts)
b) Locate the point of zero shear and determine the maximum bending moment at that
point. (5 pts)
c) Draw the shear and bending moment diagrams indicating the values at all critical
sections. (14 pts)
ENGG102
Question 3
WINTER 2025
SUPPLEMENTARY HOMEWORK ASSIGNMENT
(20 pts)
A block of mass m = 3.0 kg is dropped from height h = 0.5 m onto a spring of spring constant
k = 1900 N/m as shown in the figure.
a) Define Potential Energy and Kinetic Energy? (5)
b) Find the maximum distance the spring is compressed when the block drops on the
spring. (15 pts)
Question 4
(20 pts)
a) What are zero force members in a truss and why are they used? (5 pts)
b) Determine the force in members EC, ED, CA and CB. State whether they are in
tension or compression. (15 pts)
Question 5
(20 pts)
ENGG102
WINTER 2025
SUPPLEMENTARY HOMEWORK ASSIGNMENT
Consider the shaded area bounded by a line and a second degree curve whose equations
are given. Locate the centroid x of the shaded area.
Question 6
(25 pts)
Determine the moment of inertia of the shape about the x’ axis if the centroid 𝒚𝒚= 22.5 mm
Note: The diagram and distances shown are not on scale.
Question 7
(15 pts)
Determine the minimum force 𝑷𝑷 to prevent the 𝟑𝟑𝟑𝟑 𝐤𝐤𝐤𝐤 rod 𝑨𝑨𝑨𝑨 from sliding. The contact
surface at 𝑩𝑩 is smooth, whereas the coefficient of static friction between the rod and the
wall at 𝑨𝑨 is 𝝁𝝁𝒔𝒔 = 𝟎𝟎. 𝟐𝟐.