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A mechanism of a crank and slotted lever quick return motion is shown in Fig. If the crank rotates counter clockwise at 120 r.p.m., determine for the configuration shown, the velocity and acceleration of the ram D. Also determine the angular acceleration of the slotted lever. Crank, AB = 150 mm; Slotted arm, OC = 700 mm and link CD = 200 mm 16?
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A mechanism of a crank and slotted lever quick return motion is shown ...
Overview
In a crank and slotted lever mechanism, the crank rotation causes the ram to move in a quick return motion. To analyze the mechanism, we need to calculate the velocity and acceleration of the ram (D) and the angular acceleration of the slotted lever (OC).
Crank Specifications
- Crank length (AB): 150 mm
- Slotted arm length (OC): 700 mm
- Link length (CD): 200 mm
- Crank speed: 120 r.p.m (Counterclockwise)
Velocity of the Ram (D)
- Angular Velocity (ω):
- ω = (2 * π * N) / 60 = (2 * π * 120) / 60 = 12.57 rad/s
- Velocity of Crank (V_AB):
- V_AB = ω * r_AB = 12.57 * 0.15 = 1.886 m/s
- Ram Velocity (V_D):
- The ram's velocity can be analyzed using the geometry of the mechanism. As the crank rotates, the ram (D) moves linearly, influenced by the slotted lever's angle.
Acceleration of the Ram (D)
- Acceleration of Crank (a_AB):
- a_AB = ω^2 * r_AB = (12.57^2) * 0.15 = 2.366 m/s²
- Ram Acceleration (a_D):
- The acceleration can be derived from the angular relationships and the velocity of the ram.
Angular Acceleration of the Slotted Lever (OC)
- The angular acceleration (α) can be determined based on the radial and tangential components of acceleration at point C. The relationship between the linear acceleration of the ram and the angular acceleration of the slotted arm is key.
- Use the relationship:
- α = a_D / r_OC, where r_OC is the effective radius of slotted arm.
Conclusion
By applying the principles of kinematics and dynamics, the velocity and acceleration of the ram D and the angular acceleration of the slotted lever can be effectively determined. This analysis is crucial for designing and optimizing mechanisms in mechanical applications.
In a crank and slotted lever mechanism, the crank rotation causes the ram to move in a quick return motion. To analyze the mechanism, we need to calculate the velocity and acceleration of the ram (D) and the angular acceleration of the slotted lever (OC).
Crank Specifications
- Crank length (AB): 150 mm
- Slotted arm length (OC): 700 mm
- Link length (CD): 200 mm
- Crank speed: 120 r.p.m (Counterclockwise)
Velocity of the Ram (D)
- Angular Velocity (ω):
- ω = (2 * π * N) / 60 = (2 * π * 120) / 60 = 12.57 rad/s
- Velocity of Crank (V_AB):
- V_AB = ω * r_AB = 12.57 * 0.15 = 1.886 m/s
- Ram Velocity (V_D):
- The ram's velocity can be analyzed using the geometry of the mechanism. As the crank rotates, the ram (D) moves linearly, influenced by the slotted lever's angle.
Acceleration of the Ram (D)
- Acceleration of Crank (a_AB):
- a_AB = ω^2 * r_AB = (12.57^2) * 0.15 = 2.366 m/s²
- Ram Acceleration (a_D):
- The acceleration can be derived from the angular relationships and the velocity of the ram.
Angular Acceleration of the Slotted Lever (OC)
- The angular acceleration (α) can be determined based on the radial and tangential components of acceleration at point C. The relationship between the linear acceleration of the ram and the angular acceleration of the slotted arm is key.
- Use the relationship:
- α = a_D / r_OC, where r_OC is the effective radius of slotted arm.
Conclusion
By applying the principles of kinematics and dynamics, the velocity and acceleration of the ram D and the angular acceleration of the slotted lever can be effectively determined. This analysis is crucial for designing and optimizing mechanisms in mechanical applications.
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A mechanism of a crank and slotted lever quick return motion is shown in Fig. If the crank rotates counter clockwise at 120 r.p.m., determine for the configuration shown, the velocity and acceleration of the ram D. Also determine the angular acceleration of the slotted lever. Crank, AB = 150 mm; Slotted arm, OC = 700 mm and link CD = 200 mm 16?
Question Description
A mechanism of a crank and slotted lever quick return motion is shown in Fig. If the crank rotates counter clockwise at 120 r.p.m., determine for the configuration shown, the velocity and acceleration of the ram D. Also determine the angular acceleration of the slotted lever. Crank, AB = 150 mm; Slotted arm, OC = 700 mm and link CD = 200 mm 16? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A mechanism of a crank and slotted lever quick return motion is shown in Fig. If the crank rotates counter clockwise at 120 r.p.m., determine for the configuration shown, the velocity and acceleration of the ram D. Also determine the angular acceleration of the slotted lever. Crank, AB = 150 mm; Slotted arm, OC = 700 mm and link CD = 200 mm 16? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mechanism of a crank and slotted lever quick return motion is shown in Fig. If the crank rotates counter clockwise at 120 r.p.m., determine for the configuration shown, the velocity and acceleration of the ram D. Also determine the angular acceleration of the slotted lever. Crank, AB = 150 mm; Slotted arm, OC = 700 mm and link CD = 200 mm 16?.
A mechanism of a crank and slotted lever quick return motion is shown in Fig. If the crank rotates counter clockwise at 120 r.p.m., determine for the configuration shown, the velocity and acceleration of the ram D. Also determine the angular acceleration of the slotted lever. Crank, AB = 150 mm; Slotted arm, OC = 700 mm and link CD = 200 mm 16? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A mechanism of a crank and slotted lever quick return motion is shown in Fig. If the crank rotates counter clockwise at 120 r.p.m., determine for the configuration shown, the velocity and acceleration of the ram D. Also determine the angular acceleration of the slotted lever. Crank, AB = 150 mm; Slotted arm, OC = 700 mm and link CD = 200 mm 16? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mechanism of a crank and slotted lever quick return motion is shown in Fig. If the crank rotates counter clockwise at 120 r.p.m., determine for the configuration shown, the velocity and acceleration of the ram D. Also determine the angular acceleration of the slotted lever. Crank, AB = 150 mm; Slotted arm, OC = 700 mm and link CD = 200 mm 16?.
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A mechanism of a crank and slotted lever quick return motion is shown in Fig. If the crank rotates counter clockwise at 120 r.p.m., determine for the configuration shown, the velocity and acceleration of the ram D. Also determine the angular acceleration of the slotted lever. Crank, AB = 150 mm; Slotted arm, OC = 700 mm and link CD = 200 mm 16?, a detailed solution for A mechanism of a crank and slotted lever quick return motion is shown in Fig. If the crank rotates counter clockwise at 120 r.p.m., determine for the configuration shown, the velocity and acceleration of the ram D. Also determine the angular acceleration of the slotted lever. Crank, AB = 150 mm; Slotted arm, OC = 700 mm and link CD = 200 mm 16? has been provided alongside types of A mechanism of a crank and slotted lever quick return motion is shown in Fig. If the crank rotates counter clockwise at 120 r.p.m., determine for the configuration shown, the velocity and acceleration of the ram D. Also determine the angular acceleration of the slotted lever. Crank, AB = 150 mm; Slotted arm, OC = 700 mm and link CD = 200 mm 16? theory, EduRev gives you an
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