Looping II

Classical Mechanics Level pending

A sphere with mass m m is abandoned (initial velocity is 0) from point A A , sliding along A B C D E F ABCDEF .

B C D E BCDE is a circle with radius R R .

The acceleration of gravity is equal to g g .

The intensity of the force that the ball exerts on the surface at point D D is m g mg .

Calculate the absolute value of the angular velocity of the ball at point D D .

Ignore friction.

6 R g \sqrt { \frac { 6R }{ g } } 2 R g \sqrt { \frac { 2R }{ g } } 6 g R \sqrt { \frac { 6g }{ R } } 2 g R \sqrt { \frac { 2g }{ R } }

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