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Theory of Machines Miscellaneous

  1. The rod AB, of length 1 m, shown in the figure is connected to two sliders at each end through pins. The sliders can slide along QP and QR. If the velocity VA of the slider at A is 2 m/s, the velocity of the midpoint of the rod at this instant is _____ m/s.
    1. 1
    2. 3.2
    3. 10
    4. None of these
Correct Option: A

Locate the I-centre for the link AB as shown in figure M is the mid point of AB

Given VA = 2 m/sec

VA = IA.ω ⇒ ω =
VA
IA

VM = IM.ω = IM
VA
=
IM
.VA
IAIA

= sin30°.VA =
1
.2 = 1 m/sec
2



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