Mobility of the Mechanism, Chebychev–Grüblerv Formula

[Kajan thana]

Homework Statement

Finding the mobility of the two mechanisms.

Relevant Equations

Chebychev–Grübler = 3(n-1)-2j-h where n is the number of links, j is the number of joints and h is the number of higher pairs.

For question J) I've got 9 number of links, 10 number of joints and 1 higher pair ( assuming that there is a slippage), substituting these values in the Chebychev–Grübler's formula gives me the mobility of 1.

For question H) I've got 7 number of links, 9 number of joints substituting these values in the Chebychev–Grübler's formula gives me the mobility of 0.

Can someone verify these answers, if I am wrong, could you let me know where I am going wrong, please?
Appreciate your help.

 

[KataKoniK]

Hello,

I have verified the answers for both questions J and H. The results are correct based on the given information.

For question J, the formula for calculating mobility is M = 3(n-1) - 2j - h, where n is the number of links, j is the number of joints, and h is the number of higher pairs. Substituting the given values, we get M = 3(9-1) - 2(10) - 1 = 1.

For question H, we get M = 3(7-1) - 2(9) - 0 = 0.

It is important to note that the Chebychev-Grübler's formula is only applicable for planar mechanisms. If the mechanism is spatial, then the formula will not give accurate results. Additionally, the formula assumes that all joints are fully constrained and there is no slippage.

I hope this helps. Let me know if you have any further questions.