A level of mass 20kg is used to support a mass of 150kg at the location as shown.The tension in...

Question

A level of mass 20kg is used to support a mass of 150kg at the location as shown.The tension in cable TC has to be 4 times the tension in cable TD for the system to work.a)Draw the free body diagram of the level.b)Determine the tension in the cables and the reactions in hinge A.Take g=9.81m/s

Robert · Accepted Answer

Solution 
Free body diagram
Pt A 
Pt B 
Pt C 
(b)  
Given that TC = 4TD 
Equilibrium Equations for the above diagram are  
∑   = 0 
TC*Cos65*Cos15 + 150*9.81 + 20*9.81 – Aycos15 – TD*Cos25 –TC*Sin65*Sin10= 0 
0.437TD + 1471.5 +196.2  -0.966AY – 0.906TD – 0.629TD 
0.966AY + 1.098TD = 1667.

A level of mass 20kg is used to support a mass of 150kg at the location as shown.The tension in cable TC has to be 4 times the tension in cable TD for the system to work.a)Draw the free body diagram...

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