a) (20 p) A boy is seated on the top of a hemispherical mound of ice,...

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a) (20 p) A boy is seated on the top of a hemispherical mound of ice, of radius R. shown in the figure below. He is given a very small push and starts sliding down the ice. Show that he leaves the ice at a point 2R/3 (as measured from the centre of the hemisphere), if the ice is practically frictionless. For the purpose in question, you are supposed to write that at the point the boy leaves the ice, the radial component of his weight, is balanced by the centrifugal force he is experiencing, due to the rotational motion. Use further the energy conservation law. O h=R/3 R b) (5 p) What is his velocity at the point the boy leaves the ice, if R=2m? (Take g=10 m/s.) c) (5 p) How would you alter your approach, if you had to take into account the friction? Explain in a few words. a) (20 p) A boy is seated on the top of a hemispherical mound of ice, of radius R. shown in the figure below. He is given a very small push and starts sliding down the ice. Show that he leaves the ice at a point 2R/3 (as measured from the centre of the hemisphere), if the ice is practically frictionless. For the purpose in question, you are supposed to write that at the point the boy leaves the ice, the radial component of his weight, is balanced by the centrifugal force he is experiencing, due to the rotational motion. Use further the energy conservation law. O h=R/3 R b) (5 p) What is his velocity at the point the boy leaves the ice, if R=2m? (Take g=10 m/s.) c) (5 p) How would you alter your approach, if you had to take into account the friction? Explain in a few words.

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The image youve provided shows a diagram with a boy sitting on top of a hemispherical mound of ice with radius R Part a of the question asks to show t... View the full answer