00:01
The question is that we have to find the degree of freedom of the following mechanisms.
00:05
There are 5 different types of mechanism given here.
00:09
We know that the definition of degree of freedom is the minimum number of independent variables required to define the position or the motion of the system is known as degree of freedom.
00:21
So we know the formula of degree of freedom.
00:24
Let us denote to take of freedom as f equals to 3 l minus 1 minus 2 j minus edge where l is the number of links.
00:36
L is number of links and j is number of binary joints.
00:48
J is number of binary joints and this edge is number of higher pairs.
01:01
The number of links means that how many places are there in the mechanism which are just linked to each other.
01:17
Example, the link of this and this is this one.
01:22
So this is one link.
01:24
So we have to find the total number of links and binary joint is where only two of the constraint meet.
01:32
And number of higher pair is that where a constraint, where two constraints are meeting with a line.
01:38
With a line constraint that's called higher number of higher pair.
01:43
So let us denote this as figure number one and let's write figure number one solution.
01:50
So the number of links, you can see that this is one link, this is two, this is three, this is four, five, six.
01:58
There are six links and now number of binary joints.
02:03
So here is one binary joint, we can see that two links, two links, two, things are meeting at a point and here is also one binary joint there is also one binary joint and this is the triumetric joint and this is also a binary joint and this is also binary joint so the number is five so j value is five now it's number of higher pairs the definition of higher pair was there must be a line connectivity or a point connectivity between two things so we cannot see any line connectivity here so the value of it should be zero so if you want to find the value of f then we will put directly into the formula that the value of ls 6 minus 1 minus 2 into value of j is 5 and minus 0 so the value of f would result in 5 is equal to 15 minus 10 which is 5 this is the answer of first part and now we're in the second part so let us name this as second and we can see that the number of links here is this one this two three four five and these gears are also linked to a fixed fixed joint so this must be the sixth seventh and eighth so the value of l is eight and number of binary joint we can see that the number of binary joint where two things meet only this is here is binary joint this second joint third fourth fifth sixth seventh and eight the number of viny joint is the same j equals to eight and now the turn of number of higher pair so the connection between two in form of line denotes a higher pair so this here is a higher pair the value of edge is one so we'll put the whole values in the formula figure of freedom that would be 8 minus 1 minus 2 into 8 minus 1.
04:23
2 into 8.
04:23
2 into 8.
04:26
0 .10.
04:29
F is equal to 21 minus 16 minus 1 will be 4.
04:35
So the degree of freedom is 4.
04:38
Proceeding to the third part.
04:40
Let us note this question as third and proceed.
04:45
Here number of links we can see that this here is first link.
04:51
This is the second link, this is the third link and this is the fourth link.
04:57
And here at the back is the fifth link.
05:01
So the number of links here is five...