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Calculate the horizontal and vertical components of the acceleration of pin B (aB_, aB,), using the motion parameters of crank (AB). Express the horizontal and vertical components of the acceleration of pin B (aB,, aB,), using the motion parameters of the slotted link (CD).

Calculate the horizontal and vertical components of the acceleration of pin B (aB_, aB,), using the motion parameters of crank (AB). Express the horizontal and vertical components of the acceleration of pin B (aB,, aB,), using the motion parameters of the slotted link (CD).

Elements Of Electromagnetics
Elements Of Electromagnetics
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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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 velocity of wAB = 1.8 rad/sec and an angular acceleration of (aAB = 0.6 rad/sec²). The distance between pivots A and C is rCIA = 2.6 cm, and the distance between C and B is rB/c = 1.6 cm. Slider B Reference lines Figure 2: Prob.2 Answer the following questions in the order they are listed 1. Calculate the horizontal and vertical components of the velocity of pin B (vB_, VB,), using the motion parameters of crank (AB) 2. Express the horizontal and vertical components of the velocity of pin B (vB,, VB,), using the motion parameters of the slotted link (CD). 3. Equate the expressions from parts (1) and (2) and obtain (a) The angular velocity of the slotted link (wcD). (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 the motion parameters of crank (AB). 5. Express the horizontal and vertical components of the acceleration of pin B (aB,, aB„), using the motion 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 (ācd). (b) The acceleration at which the pin slides relative to the slotted link (a'(B/C) . (*Hint. Consider a rotating frame (i', j'), centered at C and with the same angular velocity (WcD) and and angular acceleration (acD) as the slotted link, such that, at the instant shown in Fig.2, (i') points in the direction from C to D.)
Transcribed Image Text: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 velocity of wAB = 1.8 rad/sec and an angular acceleration of (aAB = 0.6 rad/sec²). The distance between pivots A and C is rCIA = 2.6 cm, and the distance between C and B is rB/c = 1.6 cm. Slider B Reference lines Figure 2: Prob.2 Answer the following questions in the order they are listed 1. Calculate the horizontal and vertical components of the velocity of pin B (vB_, VB,), using the motion parameters of crank (AB) 2. Express the horizontal and vertical components of the velocity of pin B (vB,, VB,), using the motion parameters of the slotted link (CD). 3. Equate the expressions from parts (1) and (2) and obtain (a) The angular velocity of the slotted link (wcD). (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 the motion parameters of crank (AB). 5. Express the horizontal and vertical components of the acceleration of pin B (aB,, aB„), using the motion 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 (ācd). (b) The acceleration at which the pin slides relative to the slotted link (a'(B/C) . (*Hint. Consider a rotating frame (i', j'), centered at C and with the same angular velocity (WcD) and and angular acceleration (acD) as the slotted link, such that, at the instant shown in Fig.2, (i') points in the direction from C to D.)
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