The mechanism shown in Fig. 2.47 has the dimensions of various links as follows: [ A B=D

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The mechanism shown in Fig. 2.47 has the dimensions of various links as follows:
\[ A B=D E=150 \mathrm{~mm}, B C=C D=450 \mathrm{~mm}, E F=375 \mathrm{~mm} \]
The crank \(A B\) makes an angle of \(45^{\circ}\) with the horizontal and rotates about \(A\) in the clockwise direction at a uniform speed of \(120 \mathrm{rpm}\). The lever \(D C\) oscillates about the fixed point \(D\), which is connected to \(A B\) by the coupler \(B C\).
The block \(F\) moves in the horizontal guides, being driven by the link \(E F\). Determine

(a) linear velocity of block \(F\),

(b) angular velocity of \(D C\), and

(c) rubbing speed at pin \(C\), which is \(50 \mathrm{~mm}\) diameter.

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