4 . A 1.39 kg ball is connected by means of two ideal strings to a vertical, rot

Question

4. A 1.39 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 25.0 cm long and has a tension of 31.5 N, and it makes an angle ?2 = 55.0° with the rod, while the lower string makes an angle ?1 = 51.0° with the rod.

(a) What is the tension in the lower string?

(b) What is the speed of the ball?

A 1.39 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 25.0 cm long and has a tension of 31.5 N, and it makes an angle ?2 = 55.0A^ degree with the rod, while the lower string makes an angle ?1 = 51.0Â degree with the rod. What is the tension in the lower string? What is the speed of the ball?

Explanation / Answer

balancing forces on ball invertical direction ,

31.5cos55 - Tcos51 = 1.39g

T = 7.06 N

b) in horizontal direction

31.5sin55 + 7.06sin51 = 1.39v^2 / r   ( centripital force)

r = 25sin55 = 20.48 cm
= 0.205 m

so 31.29= 1.39v^2 / 0.205

v =2.15 m/s

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