A clown balances a small spherical grape at the top of his bald head, which also has the shape of a sphere. After drawing sufficient applause, the grape starts from rest and rolls down without slipping. It will leave contact with the clown's scalp when the radial line joining it to the center of curvature makes what angle with the vertical?
A clown balances a small spherical grape at the top of his bald head, which also has the shape of a sphere. After drawing sufficient applause, the grape starts from rest and rolls down without slipping. It will leave contact with the clown's scalp when the radial line joining it to the center of curvature makes what angle with the vertical?
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Transcribed Image Text:A clown balances a small spherical grape at the top of his bald head, which also has the shape of a sphere. After drawing sufficient applause, the grape starts from rest and rolls down without slipping.
It will leave contact with the clown's scalp when the radial line joining it to the center of curvature makes what angle with the vertical?
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Step 1: Determine the center of curvature makes what angle with the vertical
VIEWStep 2: Used the concept of conservation of energy.
VIEWStep 3: Used the concept of conservation of energy to calculate angle.
VIEWStep 4: Calculated the the center of curvature makes angle with the vertical
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