UNIVERSITY OF SOUTH AFRICA (UNISA)
College of Science, Engineering and Technology
⋄
EME1501 ASSIGNMENT 02
Semester 1
⋄
Module Code: EME1501
Module Name: Engineering Mechanics I
Assignment No.: 02
Due Date: May 2026
Submitted in partial fulfilment of the requirements for APM1514
at the University of South Africa.
,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)
College of Science, Engineering and Technology
⋄
EME1501 ASSIGNMENT 02
Semester 1
⋄
Module Code: EME1501
Module Name: Engineering Mechanics I
Assignment No.: 02
Due Date: May 2026
Submitted in partial fulfilment of the requirements for APM1514
at the University of South Africa.
,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)
