Question
A four bar mechanism is shown in the figure. The link numbers are mentioned near the links. Input link 2 is rotating anti-clockwise with a constant angular speed ω2. Length of different links are :
O2O4 = O2A = L,
AB = O4B = √(2)L.
The magnitude of the angular speed of the output link 4 is ω4 at the instant when link 2 makes an angle of 90° with O2O4 as shown. The ratio ω4/ω2 is __________ (round off to two decimal places).
Answer :
0.79
O2A = O2O4 = L
AB = O4B = √2L
I24 I12 ω2 = I24 I41 ω4
I24 I12 = L tan 75° (from ∆le I24 I12 I23 )
I24 I41 = L + L tan 75°
ω4/ω2 = I24I12 / I24I41 = L tan 75°/ (L + Ltan 75°) = 0.788
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