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M An object of mass M is attached to a string. The length of the string is r and has no mass. The objects moves in a vertical circle counterclockwise as shown. When the ball is at point F, the string is horizontal. Point E is at the bottom of the circle and point D is at the top of the circle. Air resistance is negligible. Express all algebraic answers in terms of the given quantities and fundamental constants. On the figures below, draw and label all the forces exerted on the ball when it is at points Fand E, respectively. T is the Tension in string whin object is at E b. Derive an expression for vn, the minimum speed the ball can have at point D to complete the loop. Fc: My U mn = Jrg muz min 2 min =9

M An object of mass M is attached to a string. The length of the string is r and has no mass. The objects moves in a vertical circle counterclockwise as shown. When the ball is at point F, the string is horizontal. Point E is at the bottom of the circle and point D is at the top of the circle. Air resistance is negligible. Express all algebraic answers in terms of the given quantities and fundamental constants. On the figures below, draw and label all the forces exerted on the ball when it is at points Fand E, respectively. T is the Tension in string whin object is at E b. Derive an expression for vn, the minimum speed the ball can have at point D to complete the loop. Fc: My U mn = Jrg muz min 2 min =9

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An object of mass M is attached to a string. The length of the string is r and has no mass. The objects moves in a vertical circle counterclockwise as shown. When the ball is at point F, the string is horizontal. Point E is at the bottom of the circle and point D is at the top of the circle. Air resistance is negligible. Express all algebraic answers in terms of the given quantities and fundamental constants. a. On the figures below, draw and label all the forces exerted on the ball when it is at points Fand E, respectively. T is the Tension in string sion T Vm bre when obgelt is al whin object is at E b. Derive an expression for vmins the minimum speed the ball can have at point D to complete the loop. Fc mg Y Ir tha ion Fc: My muz min U mm = Jrg ? min
Transcribed Image Text:An object of mass M is attached to a string. The length of the string is r and has no mass. The objects moves in a vertical circle counterclockwise as shown. When the ball is at point F, the string is horizontal. Point E is at the bottom of the circle and point D is at the top of the circle. Air resistance is negligible. Express all algebraic answers in terms of the given quantities and fundamental constants. a. On the figures below, draw and label all the forces exerted on the ball when it is at points Fand E, respectively. T is the Tension in string sion T Vm bre when obgelt is al whin object is at E b. Derive an expression for vmins the minimum speed the ball can have at point D to complete the loop. Fc mg Y Ir tha ion Fc: My muz min U mm = Jrg ? min
c. The maximum tension the string can have without breaking is Tmax Derive an expression for vmas the maximum speed the ball can have at point E without breaking the string. fequired maximom lension Tmax my2 max Tmax= d. Suppose that the string breaks at the instant the ball is at point F. Describe the motion of the ball immediatelv after the string breaks.
Transcribed Image Text:c. The maximum tension the string can have without breaking is Tmax Derive an expression for vmas the maximum speed the ball can have at point E without breaking the string. fequired maximom lension Tmax my2 max Tmax= d. Suppose that the string breaks at the instant the ball is at point F. Describe the motion of the ball immediatelv after the string breaks.
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