please sovle only 1,2,3 The quick return mechanism shown in Fig.2 consists of a crank AB, slider block B, and slotted link CD.At the instant shown, the angle 0 = 25°, crank AB is rotating counterclockwise with an angular velocityof wAB = 1.8 rad/sec and an angular acceleration of (a AB = 0.6 rad/sec²). The distance between pivotsA and C is rC/A = 2.6 cm, and the distance between C and B is rB/C = 1.6 cm.SliderDReference linesAFigure 2: Prob.2 Answer the following questions in the order they are listed1. Calculate the horizontal and vertical components of the velocity of pin B (vB, , VB,), using the motionparameters of crank (AB)2. Express the horizontal and vertical components of the velocity of pin B (vB., VB, ), using the motionparameters of the slotted link (CD).3. Equate the expressions from parts (1) and (2) and obtain(a) The angular velocity of the slotted link (cd).(b) The velocity at which the pin slides relative to the slotted link (V'(B/C) .4. Calculate the horizontal and vertical components of the acceleration of pin B (aB., aB,), using themotion parameters of crank (AB).5. Express the horizontal and vertical components of the acceleration of pin B (aB., aB,), using themotion parameters of the slotted link (CD).6. Equate the expressions from parts (4) and (5) and obtain(a) The angular acceleration of the slotted link (acD).(b) The acceleration at which the pin slides relative to the slotted link (a' (B/C).(*Hint. Consider a rotating frame (i', 3'), centered at C and with the same angular velocity (WCD) andand angular acceleration (acD) as the slotted link, such that, at the instant shown in Fig.2, (i') points inthe direction from C to D.)

vB = 3(0.1) = 0.3 m/saBt = 9 × 0.1 = 0.9 ms2aBn = 32 ×(0.1) = 0.9 ms2vB = vc+ Ω× rB/C + (vB/C)xyz…

Answered: AB is rotating counterclockwis on of…

AB is rotating counterclockwis on of (aAB = 0.6 rad/sec2). T ween C and B is rB/C = 1.6 cm Slider D B Refere

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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