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The prime circle of a cam is
- a)the circle with center as the center of cam axis and radius such that it passes through the pitch point.
- b)the smallest circle drawn to the cam profile from the center of rotation of a radial cam.
- c)the smallest circle drawn to the pitch curve from the center of rotation of cam.
- d)the cam circle enclosing the cam profile.
Correct answer is option 'C'. Can you explain this answer?
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The prime circle of a cam isa)the circle with center as the center of ...
The correct answer is option 'C': the prime circle of a cam is the smallest circle drawn to the pitch curve from the center of rotation of the cam.
Explanation:
The prime circle is an important concept in cam mechanisms. It is a mathematical construct that helps in the design and analysis of cams. Let's break down the explanation into different sections.
1. What is a cam?
A cam is a mechanical device that converts rotary motion into reciprocating or oscillating motion. It typically consists of a rotating element called the camshaft and a follower that rides on the surface of the cam.
2. Understanding the pitch curve:
The pitch curve is the desired motion profile that the follower should follow. It represents the desired displacement of the follower as a function of the camshaft angle. The pitch curve is defined by the designer based on the desired motion requirements.
3. Defining the prime circle:
The prime circle is the smallest circle that can be drawn to the pitch curve from the center of rotation of the cam. It is important because it helps determine the maximum size of the cam profile that can be accommodated within the available space.
4. Significance of the prime circle:
a) Geometric constraints: The prime circle helps in establishing the maximum size of the cam profile. The cam profile should always remain within the prime circle to ensure proper functioning of the mechanism.
b) Follower motion: The prime circle also determines the maximum displacement that can be achieved by the follower. If the cam profile extends beyond the prime circle, it may result in excessive wear or even failure of the mechanism.
5. Relationship between the prime circle and cam profile:
The prime circle serves as a reference for designing the cam profile. The cam profile is typically generated by rotating the prime circle about the camshaft axis while simultaneously tracing the desired motion path. The resulting shape is the cam profile, which dictates the motion of the follower.
In conclusion, the prime circle of a cam is the smallest circle drawn to the pitch curve from the center of rotation of the cam. It helps establish the maximum size of the cam profile and ensures proper functioning of the cam mechanism.
Explanation:
The prime circle is an important concept in cam mechanisms. It is a mathematical construct that helps in the design and analysis of cams. Let's break down the explanation into different sections.
1. What is a cam?
A cam is a mechanical device that converts rotary motion into reciprocating or oscillating motion. It typically consists of a rotating element called the camshaft and a follower that rides on the surface of the cam.
2. Understanding the pitch curve:
The pitch curve is the desired motion profile that the follower should follow. It represents the desired displacement of the follower as a function of the camshaft angle. The pitch curve is defined by the designer based on the desired motion requirements.
3. Defining the prime circle:
The prime circle is the smallest circle that can be drawn to the pitch curve from the center of rotation of the cam. It is important because it helps determine the maximum size of the cam profile that can be accommodated within the available space.
4. Significance of the prime circle:
a) Geometric constraints: The prime circle helps in establishing the maximum size of the cam profile. The cam profile should always remain within the prime circle to ensure proper functioning of the mechanism.
b) Follower motion: The prime circle also determines the maximum displacement that can be achieved by the follower. If the cam profile extends beyond the prime circle, it may result in excessive wear or even failure of the mechanism.
5. Relationship between the prime circle and cam profile:
The prime circle serves as a reference for designing the cam profile. The cam profile is typically generated by rotating the prime circle about the camshaft axis while simultaneously tracing the desired motion path. The resulting shape is the cam profile, which dictates the motion of the follower.
In conclusion, the prime circle of a cam is the smallest circle drawn to the pitch curve from the center of rotation of the cam. It helps establish the maximum size of the cam profile and ensures proper functioning of the cam mechanism.
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The prime circle of a cam isa)the circle with center as the center of cam axis and radius such that it passes throughthe pitch point.b)the smallest circle drawn to the cam profile from the center of rotation of a radial cam.c)the smallest circle drawn to the pitch curve from the center of rotation of cam.d)the cam circle enclosing the cam profile.Correct answer is option 'C'. Can you explain this answer?
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The prime circle of a cam isa)the circle with center as the center of cam axis and radius such that it passes throughthe pitch point.b)the smallest circle drawn to the cam profile from the center of rotation of a radial cam.c)the smallest circle drawn to the pitch curve from the center of rotation of cam.d)the cam circle enclosing the cam profile.Correct answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The prime circle of a cam isa)the circle with center as the center of cam axis and radius such that it passes throughthe pitch point.b)the smallest circle drawn to the cam profile from the center of rotation of a radial cam.c)the smallest circle drawn to the pitch curve from the center of rotation of cam.d)the cam circle enclosing the cam profile.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The prime circle of a cam isa)the circle with center as the center of cam axis and radius such that it passes throughthe pitch point.b)the smallest circle drawn to the cam profile from the center of rotation of a radial cam.c)the smallest circle drawn to the pitch curve from the center of rotation of cam.d)the cam circle enclosing the cam profile.Correct answer is option 'C'. Can you explain this answer?.
The prime circle of a cam isa)the circle with center as the center of cam axis and radius such that it passes throughthe pitch point.b)the smallest circle drawn to the cam profile from the center of rotation of a radial cam.c)the smallest circle drawn to the pitch curve from the center of rotation of cam.d)the cam circle enclosing the cam profile.Correct answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The prime circle of a cam isa)the circle with center as the center of cam axis and radius such that it passes throughthe pitch point.b)the smallest circle drawn to the cam profile from the center of rotation of a radial cam.c)the smallest circle drawn to the pitch curve from the center of rotation of cam.d)the cam circle enclosing the cam profile.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The prime circle of a cam isa)the circle with center as the center of cam axis and radius such that it passes throughthe pitch point.b)the smallest circle drawn to the cam profile from the center of rotation of a radial cam.c)the smallest circle drawn to the pitch curve from the center of rotation of cam.d)the cam circle enclosing the cam profile.Correct answer is option 'C'. Can you explain this answer?.
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