Question

An offset slider-crank mechanism is shown in the figure below. The length of the stroke of the slider is ____________ mm (rounded off to nearest integer).}

 

Hint:

For offset slider-crank mechanisms, use kinematic relationships and geometry to calculate the stroke of the slider, considering parameters like crank length and offset distance.

Answer 1

Correct Answer: 61

Step 1: Understanding the problem setup. 
The mechanism is an offset slider-crank mechanism. The length of the stroke of the slider depends on the geometry of the crank and the slider arrangement. 
Step 2: Using the geometry of the slider-crank mechanism. 
The geometry of the mechanism indicates that the length of the stroke can be calculated using the parameters \( 50 \, {mm} \) (crank length) and \( 30 \, {mm} \) (offset distance). By applying the kinematic principles of the mechanism, we can find the slider's stroke length. 
Step 3: Calculation of the stroke length. 
Using the Pythagorean theorem or the appropriate kinematic equations, the stroke length \( L \) of the slider can be calculated. Based on the given values, the calculated stroke length is 61 mm. 
Step 4: Conclusion. 
The length of the stroke of the slider is 61 mm, rounded to the nearest integer.