Level 3 Diploma/Extended Diploma in Advanced
Manufacturing Engineering (Development Knowledge)
Unit 311 Worksheet 5
Unit 311: Mechanical principles of engineering systems
Worksheet 5: Forces in equilibrium (learner)
1. State the mathematical conditions for static equilibrium.
____________________________________________________________________________
____________________________________________________________________________
____________________________________________________________________________
2. A mass of 5 kg is suspended from the ceiling of a paint booth. The system is in equilibrium.
32o
43o
1.50 m
A
B
1.93 m
O
0.3 m
C
5 kg
a)
Calculate the tension in rope C as a result of gravity.
Take the value of gravity as 9.81 m s-2.
____________________________________________________________________________
____________________________________________________________________________
© 2024 City and Guilds of London Institute. All rights reserved.
Page 1 of 2
Level 3 Diploma/Extended Diploma in Advanced
Manufacturing Engineering (Development Knowledge)
Unit 311 Worksheet 5
b) Calculate the tension in ropes A and B.
Note – you will need to use trigonometry and determine the forces in the x and y
directions. This is a challenging question!
____________________________________________________________________________
____________________________________________________________________________
____________________________________________________________________________
____________________________________________________________________________
____________________________________________________________________________
____________________________________________________________________________
____________________________________________________________________________
____________________________________________________________________________
____________________________________________________________________________
____________________________________________________________________________
____________________________________________________________________________
____________________________________________________________________________
© 2024 City and Guilds of London Institute. All rights reserved.
Page 2 of 2