Topic: Theory of Machines
How many instantaneous centres does the given mechanism possess?
- A. 18
- B. 15
- C. 12
- D. 10
Answer: B. 15
Explanation: The diagram displays a mechanism with 6 links (n=6). These include: 1 fixed ground link, 1 left crank, 1 top coupler, 1 central V-shaped ternary link (lever), 1 connecting rod to the right, and 1 slider.
The number of instantaneous centres for a mechanism with $n$ links is given by $N = \frac{n(n-1)}{2}$.
$N = \frac{6(6-1)}{2} = \frac{30}{2} = 15$.