UNIVERSITY OF SOUTH AFRICA
College of Science, Engineering and Technology
⋄ ⋄ ⋄ ⋄ ⋄ ⋄ ⋄ ⋄ ⋄⋄
EME1501: Engineering Mechanics I
Assignment 02 — Semester 1, 2026
⋄ ⋄ ⋄ ⋄ ⋄ ⋄ ⋄ ⋄ ⋄⋄
EME1501
Module Code:
Engineering Mechanics I
Module Name:
Assignment 02
Assignment:
Dr. MJ Sithole
Module Leader:
Dr. SJ Mofokeng
Internal Moderator:
100
Total Marks:
Submitted in partial fulfilment of the requirements for EME1501 — UNISA 2026
,Module code: EME1501
Module title: ENGINEERING MECHANICS I
Assessment: ASSIGNMENT 2
Total marks: 100
Module leader: Dr. MJ SITHOLE
Internal moderator: Dr. SJ MOFOKENG
____________________________________________________________________
This paper consists of eight (8) pages and ten (10) questions
Instructions:
• The assignment is an online take-home type.
• Answer all questions.
• Use the organized layout taught in this module.
,QUESTION 1 [10]
1.1 Resolve force 𝑃 shown in the Figure below
into components in the x- and y-directions for the given x-y-
axes orientation as shown in the Figure below. (6)
1.2 Use the trigonometric functions of sine, cosine, and tangent to
determine the resultant, 𝑅, of the vectors shown in the Figure
below. (4)
,QUESTION 2 [10]
Use a vector triangle, the sine and cosine laws, to determine the
resultant in the Figure below.
Question 3 [10]
Determine the resultant of the forces shown in the figure below. Using the
x- and y-axes for the algebraic signs of the components.
,Question 4 [10]
Calculate the moment about B of the truss shown in the figure below.
Question 5 [7]
5.1 The forces shown form a couple. Replace the shown couple
with an equivalent couple acting at points A and B. (4)
, 5.2 A crate is winched up the slope shown in the Figure below.
Draw a free-body diagram of the crate. (3)
Question 6 [13]
6.1 Draw a free-body diagram of the frame. (3)
6.2 Hence, determine reactions at A and G. (10)
,Question 7 [10]
Determine tension 𝑇1 for the static equilibrium of the system shown in the
Figure below.
𝑻𝟏
Question 8 [10]
8.1 Determine the load in members AB and BC in the Figure above. (4)
, 8.2 Determine the magnitude of the components of the resultant,
𝑅 = 800 N along the non-rectangular axis 𝑎 and 𝑏 as indicated
by broken lines in the Figure below. (6)
Question 9 [10]
Determine the tension at B for the combined beams in the Figure below
College of Science, Engineering and Technology
⋄ ⋄ ⋄ ⋄ ⋄ ⋄ ⋄ ⋄ ⋄⋄
EME1501: Engineering Mechanics I
Assignment 02 — Semester 1, 2026
⋄ ⋄ ⋄ ⋄ ⋄ ⋄ ⋄ ⋄ ⋄⋄
EME1501
Module Code:
Engineering Mechanics I
Module Name:
Assignment 02
Assignment:
Dr. MJ Sithole
Module Leader:
Dr. SJ Mofokeng
Internal Moderator:
100
Total Marks:
Submitted in partial fulfilment of the requirements for EME1501 — UNISA 2026
,Module code: EME1501
Module title: ENGINEERING MECHANICS I
Assessment: ASSIGNMENT 2
Total marks: 100
Module leader: Dr. MJ SITHOLE
Internal moderator: Dr. SJ MOFOKENG
____________________________________________________________________
This paper consists of eight (8) pages and ten (10) questions
Instructions:
• The assignment is an online take-home type.
• Answer all questions.
• Use the organized layout taught in this module.
,QUESTION 1 [10]
1.1 Resolve force 𝑃 shown in the Figure below
into components in the x- and y-directions for the given x-y-
axes orientation as shown in the Figure below. (6)
1.2 Use the trigonometric functions of sine, cosine, and tangent to
determine the resultant, 𝑅, of the vectors shown in the Figure
below. (4)
,QUESTION 2 [10]
Use a vector triangle, the sine and cosine laws, to determine the
resultant in the Figure below.
Question 3 [10]
Determine the resultant of the forces shown in the figure below. Using the
x- and y-axes for the algebraic signs of the components.
,Question 4 [10]
Calculate the moment about B of the truss shown in the figure below.
Question 5 [7]
5.1 The forces shown form a couple. Replace the shown couple
with an equivalent couple acting at points A and B. (4)
, 5.2 A crate is winched up the slope shown in the Figure below.
Draw a free-body diagram of the crate. (3)
Question 6 [13]
6.1 Draw a free-body diagram of the frame. (3)
6.2 Hence, determine reactions at A and G. (10)
,Question 7 [10]
Determine tension 𝑇1 for the static equilibrium of the system shown in the
Figure below.
𝑻𝟏
Question 8 [10]
8.1 Determine the load in members AB and BC in the Figure above. (4)
, 8.2 Determine the magnitude of the components of the resultant,
𝑅 = 800 N along the non-rectangular axis 𝑎 and 𝑏 as indicated
by broken lines in the Figure below. (6)
Question 9 [10]
Determine the tension at B for the combined beams in the Figure below
