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Question

Number of links (𝒍) and the number of joints (j) for a single degree of freedom kinematic chain with only lower pair joints, is related by the expression : 

केवल लोअर  युग्म जोड़ों के साथ एकल डिग्री स्वतंत्रता गतिकी श्रृंखला के लिए लिंकों की संख्या (𝒍) और जोड़ों की संख्या (j) निम्न अभिव्यक्ति द्वारा संबंधित है:

A.

j = 2.5𝒍 - 2

B.

j = 1.5𝒍 - 2

C.

j = 2.5𝒍 - 1

D.

j = 2.5𝒍 - 1

Answer ( Option B)

j = 1.5𝒍 - 2

Solution

The relation between number of links (𝒍) and the number of joints (j) can be obtained by using Kutzback's equation as:

DOF = 3(𝒍 - 1) - 2j - h

Here, DOF = 1 and h = 0 as degree of freedom is one and there is no higher pair (h).


Hence, the correct option is (B).

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