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Fig. shows a quick return motion mechanism in which the driving crank OA rotates at 120r.p.m. in a clockwise direction. For the position shown, determine the magnitude and direction of 1, the acceleration of the block D ; and 2. the angular acceleration of the slotted bar QB.?
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Fig. shows a quick return motion mechanism in which the driving crank ...
Quick Return Motion Mechanism

The given figure shows a quick return motion mechanism in which the driving crank OA rotates at 120r.p.m. in a clockwise direction.


Acceleration of Block D

For the position shown, the acceleration of block D can be determined as follows:


  • Draw the velocity and acceleration diagrams for the mechanism.

  • From the velocity diagram, it can be observed that the velocity of block D is perpendicular to the slotted bar QB.

  • Therefore, the acceleration of block D is equal to the component of the acceleration of point Q along the slotted bar QB.

  • The acceleration of point Q can be determined from the acceleration diagram.

  • Using trigonometry, the component of the acceleration of point Q along the slotted bar QB can be calculated.

  • This component is the acceleration of block D.

  • The direction of the acceleration of block D can be determined by considering the direction of the component of the acceleration of point Q along the slotted bar QB.



Angular Acceleration of Slotted Bar QB

The angular acceleration of the slotted bar QB can be determined as follows:


  • From the velocity diagram, it can be observed that the velocity of point Q is perpendicular to the slotted bar QB.

  • Therefore, the angular acceleration of the slotted bar QB is equal to the component of the angular acceleration of point Q along the slotted bar QB.

  • The angular acceleration of point Q can be determined from the acceleration diagram.

  • Using trigonometry, the component of the angular acceleration of point Q along the slotted bar QB can be calculated.

  • This component is the angular acceleration of the slotted bar QB.

  • The direction of the angular acceleration of the slotted bar QB can be determined by considering the direction of the component of the angular acceleration of point Q along the slotted bar QB.



In conclusion, the magnitude and direction of the acceleration of block D and the angular acceleration of the slotted bar QB can be determined by analyzing the velocity and acceleration diagrams of the mechanism.
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Fig. shows a quick return motion mechanism in which the driving crank OA rotates at 120r.p.m. in a clockwise direction. For the position shown, determine the magnitude and direction of 1, the acceleration of the block D ; and 2. the angular acceleration of the slotted bar QB.?
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Fig. shows a quick return motion mechanism in which the driving crank OA rotates at 120r.p.m. in a clockwise direction. For the position shown, determine the magnitude and direction of 1, the acceleration of the block D ; and 2. the angular acceleration of the slotted bar QB.? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Fig. shows a quick return motion mechanism in which the driving crank OA rotates at 120r.p.m. in a clockwise direction. For the position shown, determine the magnitude and direction of 1, the acceleration of the block D ; and 2. the angular acceleration of the slotted bar QB.? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Fig. shows a quick return motion mechanism in which the driving crank OA rotates at 120r.p.m. in a clockwise direction. For the position shown, determine the magnitude and direction of 1, the acceleration of the block D ; and 2. the angular acceleration of the slotted bar QB.?.
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