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A spherical shell is resting against the vertical wall which makes an angle 30° with the vertical as shown in the Figure.

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A spherical shell is resting against the vertical wall which makes an angle 30° with the vertical as shown in the Figure. Determine the normal reaction at the wall and tension in the string.

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Draw the FBD of the sphere. Resolve the forces in horizontal and vertical directions. Apply Newton’s first law along the horizontal and vertical directions.

FBD of the sphere is provided. Since sphere is in equilibrium, hence,

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