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A quarternary joint is equivalent to
  • a)
    one binary joint
  • b)
    two binary joints
  • c)
    three binary joints
  • d)
    four binary joints
  • e)
    none of the above
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A quarternary joint is equivalent toa)one binary jointb)two binary joi...
**Quaternary Joint in Mechanical Engineering**

A quaternary joint in mechanical engineering refers to a type of joint that allows movement in four different directions. It is a complex joint that consists of multiple binary joints combined together. To understand why a quaternary joint is equivalent to three binary joints, let's explore the concept of binary joints first.

**Binary Joints**

A binary joint is a type of joint that allows movement in two different directions or axes. It is the most basic type of joint commonly used in mechanical systems. For example, a hinge joint allows rotational movement around one axis, while a sliding joint allows linear movement along one axis.

**Quaternary Joint**

A quaternary joint, on the other hand, is a more complex joint that enables movement in four different directions or axes. It is achieved by combining multiple binary joints. By using a combination of binary joints, a quaternary joint can provide a wide range of motion and flexibility in mechanical systems.

**Equivalent to Three Binary Joints**

The statement that a quaternary joint is equivalent to three binary joints means that the movement provided by a quaternary joint can be achieved by using three separate binary joints. This concept can be better understood by considering the degrees of freedom.

**Degrees of Freedom**

Degrees of freedom refer to the number of independent directions or axes in which a body or system can move. In mechanical systems, degrees of freedom are determined by the number and types of joints present.

**Quaternary Joint and Degrees of Freedom**

A quaternary joint provides four degrees of freedom, meaning it allows movement in four independent directions or axes. To achieve this, it combines multiple binary joints, each providing two degrees of freedom. Therefore, by combining three binary joints, each with two degrees of freedom, we can achieve the same movement provided by a quaternary joint.

**Conclusion**

In conclusion, a quaternary joint in mechanical engineering is a complex joint that allows movement in four different directions. It is equivalent to three binary joints, meaning that the movement provided by a quaternary joint can be achieved by using three separate binary joints. This concept is based on the degrees of freedom, where a quaternary joint provides four degrees of freedom and each binary joint provides two degrees of freedom.
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Community Answer
A quarternary joint is equivalent toa)one binary jointb)two binary joi...
It takes two links to make the first joint.  Each additional link adds one joint.  If you imagine those same 4 links connected but not at the same point you will see that the 4 links have 3 connections or joints.

Your labels are not in the correct location.  The document refers to the four links that intersect at joint Q.
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