GATE ME 2021 Set 1 — Question 60
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Engineering Mechanics → Statics → Free-Body Diagrams & Equilibrium
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Question
Two smooth identical spheres each of radius and weight rest in a horizontal channel having vertical walls. The distance between vertical walls of the channel is .
All dimensions are in The reaction at the point of contact between two spheres is ________ (round off to one decimal place).
Correct answer
124 to 126
Solution
1.Geometry:
Radius . Channel width .Horizontal distance between centers (): .
Distance between centers (): .
Let be the angle the line joining centers makes with the horizontal.
2.Equilibrium of the top sphere:
Let be the contact reaction between spheres.Vertical equilibrium:
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