Question

An object of mass m1 = 4.00 kg is tied to an object of mass m2 = 3.40 kg with String 1 of length ℓ = 0.500 m. The combination is swung in a vertical circular path on a second string, String 2, of length ℓ = 0.500 m. During the motion, the two strings are collinear at all times as shown in the figure. At the top of its motion, m2 is traveling at v = 5.30 m/s. Two objects of mass m1 and m2 are shown. m1 is connected to m2 by a string labeled String 1 of length l. Extending from the other end of m2 is another string labeled String 2 and is also of length l. The other end of String 2 is connected to a central point of two concentric dashed lines which indicate the circular paths of the masses. The masses are at the top of each circular path. An arrow labeled vector v extends from m2 and points to the right. (a) What is the tension in String 1 at this instant? N (b) What is the tension in String 2 at this instant? N (c) Which string will break first if the combination is rotated faster and faster

Answer 1

V 5.3 0:5 10.6 rad/s a v=vw 7 W = V = Rw=(ritra)W=(0.5+0.5) 10.6 = 10.6 m/s = my² Rong 4(10.6)?- 469.8) 1410:24 N To 3.4 (5.3) 2 3.4(9.8) 05 11 157.692 N because 1 T2=T + 7 = 1567.932N string a will break faster than shing the tension in the string 2 is more.