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Instructions for the Further maths coursework.

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Task 4: Matrices problem The following dynamic pulley system is released from rest.

hs

a₁

4kg

T₂

a₂ + a₁

T₁

VLE001559 - UOL Maths... Fri 7/14

Dear students MEC course... Inbox

7₂

1.Draw a free body diagram for each particle within the system.

2.State four modelling assumptions you will use for this system.

(2)

(2)

3.Using Newtons Laws of motion, derive an equation of motion for each particle.

(4)

az-a₁

4.Using matrix algebra, setup the solution matrix in the form Ax=B.

(2)

5.Solve this matrix to find the variables of the pulley system, using an analytical method,

showing each step. Write each step in the equation builder in Microsoft Word.

(4)

6.Solve the same matrix using the available formulae in Microsoft Excel. (2)

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