Question

In a slider crank machanism, the length of crank and connecting rod are 100 mm and 240 mm respectively. The speed of crank is 3 rad/s. If at an instant the crank and connecting rod are perpendicular to each other then the velocity of slider at that instant is

• A. 180 mm/sec
• B. 250 mm/sec
• C. 325 mm/sec
• D. 125 mm/sec

Answer 1

The correct option is C 325 mm/sec



${\omega }_2{I}_{12}{I}_{24}=V_s$

$sin\theta =\frac{100}{I_{12}{I}_{24}}$

$tan\theta =\frac{240}{100}=\frac{12}{5}$

$sin\theta =\left(\frac{12}{13}\right)$

$\therefore \frac{100}{I_{12}{I}_{24}}=\frac{12}{13}=\left(\frac{500}{13}\right)$

$\left(I_{12}{I}_{24}\right)=\frac{100\times 13}{12}$

$V_s=\frac{100\times 13}{12}\times 3=325mm/s$