GATE ME 2016 Set 1 — Question 45
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Theory of Machines & Vibrations → Mechanisms & Linkages → Dynamic Analysis of Linkages
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Question
A slider crank mechanism with crank radius and connecting rod length is shown. The crank is rotating at in the counterclockwise direction. In the configuration shown, the crank makes an angle of with the sliding direction of the slider, and a force of is acting on the slider. Neglecting the inertia forces, the turning moment on the crank (in kN-m) is __________
Correct answer
0.9 to 1.1
Solution
1.Given: Crank radius , connecting rod length , crank angle , force on slider .
2.The turning moment on the crank is given by: , where is the angle of the connecting rod with the line of stroke.
3.From geometry, . At , .
4..
5.Substituting into the moment equation: .
6..
7.The answer is 1.0, which falls within the range .
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