GATE ME 2014 Set 1 — Question 46
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Theory of Machines & Vibrations → Balancing, Flywheels & Gyroscopes → Balancing of Reciprocating Masses
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Question
A slider crank mechanism has slider mass of , stroke of and rotates with a uniform angular velocity of . The primary inertia forces of the slider are partially balanced by a revolving mass of at the crank, placed at a distance equal to crank radius. Neglect the mass of connecting rod and crank. When the crank angle (with respect to slider axis) is , the unbalanced force (in newton) normal to the slider axis is _______
Correct answer
29 to 31
Solution
Given:
Slider mass
Stroke Crank radius
Angular velocity
Balancing mass at radius
Crank angle The unbalanced force normal to the slider axis (vertical direction) is caused by the vertical component of the centrifugal force of the balancing mass.The unbalanced force normal to the slider axis is .
Slider mass
Stroke Crank radius
Angular velocity
Balancing mass at radius
Crank angle The unbalanced force normal to the slider axis (vertical direction) is caused by the vertical component of the centrifugal force of the balancing mass.The unbalanced force normal to the slider axis is .
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