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6. 15 Consider a ball on a fixed-length string being whirled in a vertical circu

ID: 2245169 • Letter: 6

Question

6. 15


Consider a ball on a fixed-length string being whirled in a vertical circular path as shown in the diagram below.

Consider a ball on a fixed-length string being whirled in a vertical circular path as shown in the diagram below. When the ball is at the bottom of the circle, what is the direction of the tension force on the ball? Use the direction rosette to answer this question. When the ball is at the bottom of the circle, what is the direction of the gravitational force on the ball? Use the direction rosette to answer this question. When the ball is at the bottom of the circle, what is the direction of the centripetal force on the ball? Use the direction rosette to answer this question. When the ball is at the bottom of the circle, what is the expression for the centripetal force on the ball? Take the upward direction as positive and the downward direction as negative when considering the sign of the forces. (Use the following as necessary: m, g and T.). If the speed of the ball at the bottom of the circle is v, what is the expression for the centripetal force on the ball in terms of its speed v and the length L of the string? Take the upward direction as positive and the downward direction as negative when considering the sign of the forces. (Use the following as necessary: m, v and L.) Use your answers in parts (d) and (e) to get an expression for the tension in the string in terms of the speed of the ball and the length of the string. (Use the following as necessary: m, v, g and L.)

Explanation / Answer

a) ANS = 5
(b) ANS = 5
{wasted words could have just said:
"what is the direction of the gravitational force on ball" - doesn't matter where ball is}

(c) "Centripetal = center seeking" ANS = 1
(d) Fc = -T - mg
(e) Fc = mv

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