Question

Q2. The link lengths ofgeared five bar linkage and the values of λ., 02 and co2 are given as: L, = 6, L2-3, L,-7, L,-6, L5 = 4.A = 70°, ф--30°, λ = l and c2= 10 rad/s. Draw the linkage to scale and find the angles θ3 and 04 of the open-solution only. i) Determine d03, and ω4. (20 marks)

Answer 1

Please refer following image for solution

9-70 Solution," Flom given Link 2 angle θ2, phase angle φ K7 Voe can tind out angle t int 5 日5-40 Lintage can be drawn by using tint dengths, e, &o we will use scale icm tunit

Procedure: locate O_{​​​​​​1}​​​​​ O_{​​​​​​2} 6cm apart on horizontal axis

↑2.0 0

- take 70⁰ from O_{​​​​​​1} and locate A at 3cm

- take 40⁰ from O_{​​​​​​2} and locate C at 4cm

- draw an arc of 7cm from A and another arc of 6cm from C intersection of two arcs will give us ppipo B

- Complete the polygon and measure the angles

$\Theta$₃= 45⁰ and $\Theta$₄= 120⁰

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X VELOCITY DTAGRANM 0102 Cl D bd CD AlSo

Procedure for velocity polygon:

- calculate the velocities of link 3 and 5 consider the scale

- locate fixed point O_{​​​​​​1}​​​​​ O_{​​​​​​2}

- draw vector V_{​​​​​​a} perpendicular to link OA with scale

- draw vector V_{​​​​​​c}​​​​​ perpendicular to link OC with scale

- from a extend the line perpendicular to AB and from c extend the line perpendicular to CB intersection will give is point b

- measure the length of vectors and multiply with scale we will get linear velocities

- divide linear velocity with length of link we will get angular velocity