Question:
How many degree of freedom is possessed by a manipulator link free in a 3-D space?
How many degree of freedom is possessed by a manipulator link free in a 3-D space?
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Rigid body in 3D → always 6 DOF (3 translation + 3 rotation).
Updated On: May 22, 2026
- 3
- 4
- 5
- 6
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The Correct Option is D
Solution and Explanation
Concept:
Degree of Freedom (DOF) is the number of independent motions a body can have.
Step 1: Motion in 3D space.
A rigid body in 3D space can perform:
• 3 translational motions (x, y, z directions)
• 3 rotational motions (about x, y, z axes)
Step 2: Total DOF.
\[ \text{DOF} = 3 + 3 = 6 \]
Step 3: Interpretation.
Manipulator link free in space can move freely in all directions. Final Answer: \[ \boxed{6} \]
Step 1: Motion in 3D space.
A rigid body in 3D space can perform:
• 3 translational motions (x, y, z directions)
• 3 rotational motions (about x, y, z axes)
Step 2: Total DOF.
\[ \text{DOF} = 3 + 3 = 6 \]
Step 3: Interpretation.
Manipulator link free in space can move freely in all directions. Final Answer: \[ \boxed{6} \]
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