Download presentation

Presentation is loading. Please wait.

Published byCameron Pereira Modified over 3 years ago

1
p1 RJM 16/10/02EG1C2 Engineering Maths: Matrix Algebra Tutorial 1 A mass (weight 20N) is suspended by two wires as shown in the figure: relevant distances are also marked. T 1 and T 2 are the tensions in the wires. By resolving in the horizontal and vertical directions, write down equations involving T 1 and T 2. Express these as one matrix equation. Matrix Algebra - Tutorial 1 1.

2
p2 RJM 16/10/02EG1C2 Engineering Maths: Matrix Algebra Tutorial 1 For the circuit given above, write down three equations in terms of the three currents shown, and then express these in one matrix equation. 2.

3
p3 RJM 16/10/02EG1C2 Engineering Maths: Matrix Algebra Tutorial 1 A 40N weight mass is on a plane whose coefficient of friction is 0.5, and the forces affecting the mass are shown. Friction and the force F parallel to the plane keep the mass in place. R is the force applied by the mass normal to the plane, so the frictional force is 0.5R. The force up the plane is thus F + 0.5R. By resolving forces horizontally and vertically, write down equations relating F and R and then express these equations as one matrix equation. Note: cos(36.87) = 0.8 and sin(36.87) = 0.6. 3.

4
p4 RJM 16/10/02EG1C2 Engineering Maths: Matrix Algebra Tutorial 1 4. A mass (weight 2N) is suspended by three wires, as shown above. Let the tensions in the wires be T 1, T 2 and T 3. The components of the tensions in the x, y and z directions are For T 1 -0.2*T 1, 0.5*T 1 and -0.1*T 1. For T 2 0, 0.7*T 2 and 0.5*T 2. For T 3 0.8*T 3, -0.7*T 3 and -0.1*T 3. Express this system as a matrix equation.

5
p5 RJM 16/10/02EG1C2 Engineering Maths: Matrix Algebra Tutorial 1 5. Evaluate the following if they can be evaluated - if not explain why. a) A + Bb) A * B c) A + Ed) A - 2*B e) 5 * Cf) C * D g) A * Eh) F * C i) D T * C j) D * Ak) B T * A T l) B * A m) F T * C

6
p6 RJM 16/10/02EG1C2 Engineering Maths: Matrix Algebra Tutorial 1 6. Show that, even though C is not the zero matrix, A.C = B.C and yet A does not equal B. 7.Show that A.A T is a symmetrix matrix.

7
p7 RJM 16/10/02EG1C2 Engineering Maths: Matrix Algebra Tutorial 1 Answers

8
p8 RJM 16/10/02EG1C2 Engineering Maths: Matrix Algebra Tutorial 1 c) Not the same size. h) Incompatible sizes.

9
p9 RJM 16/10/02EG1C2 Engineering Maths: Matrix Algebra Tutorial 1

Similar presentations

OK

Three blocks of masses M 1 =2 kg, M 2 =4 kg, and M 3 =6 kg are connected by strings on a frictionless inclined plane of 60 o, as shown in the figure below.

Three blocks of masses M 1 =2 kg, M 2 =4 kg, and M 3 =6 kg are connected by strings on a frictionless inclined plane of 60 o, as shown in the figure below.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on power system stability classification Ppt on online examination system project in java Ppt on mutual funds Ppt on google driverless cars Ppt on hard gelatin capsule ingredients Ppt on introduction to object-oriented programming python Ppt on paintings and photographs related to colonial period in america Ppt on radar guidance system download Ppt on economic order quantity Ppt on cross site scripting vulnerability