A 1.27 kg ball is connected by means of two ideal strings to a vertical, rotatin
ID: 2137568 • Letter: A
Question
A 1.27 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 26.0 cm long and has a tension of 30.5 N, and it makes an angle ?2 = 51.0
A 1.27 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 26.0 cm long and has a tension of 30.5 N, and it makes an angle ?2 = 51.0 degree with the rod, while the lower string makes an angle ?1 = 53.0 degree with the rod. (a) What is the tension in the lower string? (b) What is the speed of the ball?Explanation / Answer
a) balancing forces on ball invertical direction ,
30.5cos51 - Tcos53 = 1.27g
T =11.21 N
b) in horizontal direction
30.5sin51 + 11.21sin53 = 1.27v^2 / r ( centripital force)
r = 26sin53 = 20.78cm
= 0.2077 m
so 30.449= 1.27v^2 / 0.2077
v =2.23 m/s
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