# Which of the following relation is a mathematical expression of Grashof's law? S, L, P and Q denote length of the smallest, longest and other two link

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Which of the following relation is a mathematical expression of Grashof's law? S, L, P and Q denote length of the smallest, longest and other two links respectively.
1. L + P < S + Q
2. L + S < P + Q
3. L + S > P + Q
4. L + P = S + Q

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Correct Answer - Option 2 : L + S < P + Q

Explanation:

According to Grashoff’s law:

If S is the shortest link, L is the longest link and P and Q are two other links then two conditions can occur.

1. S + L ≤ P + Q (Class I mechanism)

• The shortest link is fixed: Double crank Mechanism

2. S + L > P + Q (class II mechanism)

• Always double rocker mechanism.