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A 1.12 kg ball is connected by means of two ideal strings to a vertical, rotatin

ID: 2137771 • Letter: A

Question

A 1.12 kg ball is connected by means of two ideal strings to a vertical, rotating rod. The strings are tied to the rod and are taut. The upper string is 24.0 cm long and has a tension of 31.1 N, and it makes an angle ?2 = 53.0

A 1.12 kg ball is connected by means of two ideal strings to a vertical, rotating rod. The strings are tied to the rod and are taut. The upper string is 24.0 cm long and has a tension of 31.1 N, and it makes an angle ?2 = 53.0 degree with the rod, while the lower string makes an angle ?1 = 50.0 degree with the rod. What is the tension in the lower string? What is the speed of the ball?

Explanation / Answer

a) balancing forces on ball in verticall ,
31.1cos53 = TLcos50 + 1.12g
TL =12.04 N

b) 31.1sin53 + 12.04sin50 = 1.12 x v^2 / r
r = 24sin53 = 19.17 cm = 0.1917 m
v^2 = 34.06 x 0.1917 / 1.12
v = 2.41 m/s