1. A ball of mass m is attached to a string of length L. The ball is then swung in acircle of radius r such that the string traces out the surface of a cone. For this problemwe will neglect air resistance.a. Sketch a pictorial representation of the physical situation and label any quantities ofinterest. In addition, establish a coordinate system for this problem and draw a freebody diagram for the ball. (See sections 1.7 and 5.7 of the text on how to draw acorrect pictorial representation and free body diagram.)b. Write down Newton's Second Law using the coordinate system from part (a) andthe forces identified on your free body diagram.c. Determine a symbolic expression for the tension T in the string and the angularvelocity w of the ball. These should be expressed in terms of the given quantities L,m, r and the acceleration due to gravity, g. Check the physical units ofexpressions to make sure that you get the units of force and angular velocity.yourd. Suppose that we are on the surface of planet Earth and that m =and r =500 g, L =1.0 m20 cm and g10 m/s?. Determine the numerical value of the tension T andangular velocity w (in rad/s and rpm) given these values.e. Explain in words what would happen to the tension T and angular velocity w if theball was swung in the same fashion but on exoplanet Gleise 581g where theacceleration due to gravity is about 4 times stronger than here on Earth. Thenperform a short calculation to back up your explanation.

The mass of the attached string is m. The length of the string is L. The radius of the circle is r.…

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