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).}
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).}
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Correct Answer: 61
Solution and Explanation
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.
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