(18 pts) Two balls are tied together via string and then swung in a vertical circular path using a second string, as shown in the figure. During this motion, the two strings are co-linear at all times. The first ball has mass m1 = 0.4 kg, and the second has m2 = 0.2 kg. Each of the two strings has an individual length l = 36 cm. At the top of its swing, m2 is traveling at v = 3.0 m/s. (a) What is the tension in String 1 at this instant? (b) What is the tension in String 2 at this instant? (c) Which string will break first if the combination is rotated faster and faster? (i.e. which tension will grow too large?)

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Chapter1: Units, Trigonometry. And Vectors
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(18 pts) Two balls are tied together via string and then swung in a vertical circular path using a
second string, as shown in the figure. During this motion, the two strings are co-linear at all times.
The first ball has mass m1
0.4 kg, and the second has m2
= 0.2 kg. Each of the two strings has an
3.0 m/s. (a) What is the
%3D
individual length l = 36 cm. At the top of its swing, m2 is traveling at v =
tension in String 1 at this instant? (b) What is the tension in String 2 at this instant? (c) Which
string will break first if the combination is rotated faster and faster? (i.e. which tension will
too large?)
grow
String 1 e
m2
String 2
Transcribed Image Text:(18 pts) Two balls are tied together via string and then swung in a vertical circular path using a second string, as shown in the figure. During this motion, the two strings are co-linear at all times. The first ball has mass m1 0.4 kg, and the second has m2 = 0.2 kg. Each of the two strings has an 3.0 m/s. (a) What is the %3D individual length l = 36 cm. At the top of its swing, m2 is traveling at v = tension in String 1 at this instant? (b) What is the tension in String 2 at this instant? (c) Which string will break first if the combination is rotated faster and faster? (i.e. which tension will too large?) grow String 1 e m2 String 2
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