Mechanical Engineering - Theory of machines - Discussion
Discussion Forum : Theory of machines - Section 9 (Q.No. 13)
13.
ABCD is a four bar mechanism in which AB = 310 mm and CD = 450 mm. AB and CD are both perpendicular to the fixed link AD, as shown in the below figure. If the velocity of B at this condition is v. Then the velocity of C is
v
v
v
vDiscussion:
20 comments Page 1 of 2.
Kais said:
8 years ago
I believe A is the correct answer as both vB and Vc are horizontal and link BC can not be rotating so has no contribution to the velocity of vC/A; That is, w3 = 0 (or VCA=0). You may also use instantaneous center I24 and find the relationship between w2 and w4, they are proportional with w2/w4=CD/AB so vB=Vc.
Abhi said:
9 years ago
I think the answer is A, as we draw a velocity diagram it will be a straight line, where B nd C coincide. So, Vb = Vc.
I have a question @G Nagaraju.
Why have you taken the angular velocity of both same?
I have a question @G Nagaraju.
Why have you taken the angular velocity of both same?
Parashuram said:
5 years ago
At this condition velocity of B is equals to the velocity of C, because at this instant instantaneous center be lie at infinity otherwise velocity of B is not equal to the velocity of C.
Vishal Prajapati said:
5 years ago
V = w.r
So, w=V/r
Then point A and D has same w.
So,
(V1/r1) = (V2/r2)
So,
(V/310) = (V2/450).
Then,
(45 V/ 31 ) = V2.
V2= 1.46 V.
It is near by 1.5 V.
So, w=V/r
Then point A and D has same w.
So,
(V1/r1) = (V2/r2)
So,
(V/310) = (V2/450).
Then,
(45 V/ 31 ) = V2.
V2= 1.46 V.
It is near by 1.5 V.
Vinay said:
5 years ago
Option A is the correct answer. Since crank and rocker are parallel to each other the coupler angular velocity becomes zero. So, Vb=Vc.
Kiran said:
7 years ago
Option A is the correct answer. Since crank and rocker are parallel to each other the coupler angular velocity becomes zero. So, Vb=Vc.
G Nagaraju said:
1 decade ago
Vc/Vb = CD/AB.
= 450/310 AB distance is 300 it will perfectly come.
= 1.46 ~ 1.5.
= 1.5 = 3/2.
Vc = Vb*3/2.
= 3/2 Vb.
= 450/310 AB distance is 300 it will perfectly come.
= 1.46 ~ 1.5.
= 1.5 = 3/2.
Vc = Vb*3/2.
= 3/2 Vb.
(1)
Sai Bharath said:
5 years ago
Velocity at C = CD/AB x velocity at B.
= 450/310 x v,
= 3/2 v.
So option C is correct.
= 450/310 x v,
= 3/2 v.
So option C is correct.
(1)
JKVERMA37 said:
8 years ago
A is right option, because in condition link BC is in pure translation.
Pkumar said:
5 years ago
Assume v is the angular velocity then we can say C is the right answer.
(1)
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