Ball and socket joint is an example of:

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  1. Turning pair
  2. Spherical pair
  3. Sliding pair
  4. Screw pair

Answer (Detailed Solution Below)

Option 2 : Spherical pair
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Explanation:

Ball and Socket Joint

  • A ball and socket joint is a type of mechanical joint where a spherical-shaped component (the "ball") fits into a concave-shaped socket. This arrangement allows for rotational motion in multiple directions, making it a highly versatile joint in terms of movement. Ball and socket joints are commonly found in both mechanical systems and biological structures, such as the human hip and shoulder joints.
  • In a ball and socket joint, the ball component is free to rotate within the socket. This freedom allows for movement around multiple axes, including flexion, extension, abduction, adduction, and rotation. The joint enables a high degree of mobility while maintaining a stable connection between the components.

Mechanical Example: In mechanical systems, ball and socket joints are often used in universal joints, robotic arms, and certain types of couplings where multi-directional movement is required.

Characteristics:

  • Provides rotational movement around multiple axes.
  • Allows for a wide range of motion, including circular and angular movements.
  • Ensures a stable yet flexible connection between the components.

Spherical Pair

  • A ball and socket joint is categorized as a spherical pair because it involves a spherical component (the ball) moving within a concave socket. This type of joint allows for rotational motion in three degrees of freedom (DOF): pitch, yaw, and roll. The motion characteristics of the ball and socket joint align perfectly with the definition of a spherical pair in kinematics.

Additional Information

Turning Pair

  • A turning pair involves two components that are constrained to rotate relative to each other about a single axis. An example of a turning pair is a hinge or a rotating shaft.

Sliding Pair

  • A sliding pair involves two components that move relative to each other in a linear direction. An example of a sliding pair is a piston moving within a cylinder. A ball and socket joint does not exhibit linear motion; instead, it allows for rotational motion in multiple directions, making this option incorrect.

Screw Pair

  • A screw pair consists of two components where one component moves helically relative to the other, combining rotational and linear motion. An example of a screw pair is a lead screw in a lathe machine. A ball and socket joint does not involve helical motion, so this option is not applicable.
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