1. [30 points] A) [20 points] Calculate D.O.F. of the...

1. [30 points] A) [20 points] Calculate D.O.F. of the mechanisms below. Write down type and D.O.F. of each joint. Also show multiple joints if there are any. B) [10 points] If the link lengths of a four-bar mechanism are L1 = 1 mm, L2 = 3 mm, L3 = 4 mm, and L4 = 5 mm and link 1 is fixed, what type of four-bar mechanism is it? Draw the mechanism, label the links and explain your answer.

Transcript

00:01 So here in the first part of the question we have to calculate the value of the dof of the mechanism which is given here where we are given the type and dof of the each joint which we are shown here.

00:11 So we are considering for the first figure where we are given the number of links which from here is represented by n that is equals to 10.

00:21 We are given the number of the binary links that from here is equals to 10 and the number of the tertiary links are given, joints are given that is equals to 1.

00:38 So 1 which is multiplied by 2 become equals to 2 that is for the binary joints that is for the binary joints and if we are considering about dof which from here is represented by f become equals to 3 multiplied by the n -1 -2 of j -h that from here is equals to 3 multiplied by the 10 -1 -2 which is multiplied by the 10 plus 2 minus 0.

01:08 So solving the term from here we get the value of f that is equals to 3.

01:13 So this is for the first.

01:15 Now for the figure we are considering we are having the total number of the joints in this figure.

01:23 So total number of joints is equals to 12.

01:26 Number of the binary joints from here is equals to 5 and the number of the ternary tertiary joints from here is equals to 4.

01:38 So the total number of the binary joints become equals to 5 plus 2 which is multiplied by the 4 that from here is equals to 13.

01:46 So we are having the value of the higher pass that is equals to 2 from here.

01:52 So the value of f become equals to 3 multiplied by the n -1 -2 of j -h that become equals to 3 multiplied by the 11 -1 -2 which is multiplied by the 13 -2...

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