Grade 12th passMechanics

A uniform rod AB of length three times the radius of a
hemispherical bowl remains in equilibrium in the bowl as
shown. Neglecting friction find the inclination of the rod with
the horizontal.

Question image for A uniform rod AB of length three times the radius

Akshat Arya

7 Years agoGrade 12th pass

1 Answer

Sachin Kumar

7 Years ago

since there is equilibrium between rid and bowl

First draw complete circle to the bowl.

Now make the diameter , through lower end , weight force line and one of the normal line at

othe end meet at a point on the circle D (let)

Now

by geometry rod divides angle made by rod with

horizontal and angle made by rod with diameter made by lower end and joining common

point equally.

After this we get an equation

2Rcos2@=1.5Rcos@

2cos2@=1.5cos@

After solving this we get

cos@=0.92

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A uniform rod AB of length three times the radius of ahemispherical bowl remains in equilibrium in the bowl asshown. Neglecting friction find the inclination of the rod withthe horizontal.

Akshat Arya

1 Answer

Sachin Kumar

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hemispherical bowl remains in equilibrium in the bowl as
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