iPad 9:01 PM * 31%. 1 Atwood\'s machine A conical pendulum consists of a ball at
ID: 778236 • Letter: I
Question
iPad 9:01 PM * 31%. 1 Atwood's machine A conical pendulum consists of a ball at the end of a string which traces out a circular path as illustrated in Fig. 1. Sup pose that the mass of the ball is 0.040kg, the length of the string is 80 em and the radius of orbit is 3e 80 cm a) Apply Newton's second law(vertical component) to deter mine the tension in the string. 35 cm Figure1: Conical pendulum b) Apply Newton's second law (horizontal component) to determine the time taken by the ball to complete one circular orbit.Explanation / Answer
sin(theta) = r/l
theta = sin(-1(35/80)) = 25.94 degrees
from the figure
Tcos(25.94) = mg
T = 0.04*9.8/0.899 = 0.436 N
b) Tsin(25.94) = mv^2/r = mw^2r
tan(theta) = w^2r/g
w = sqrt(9.8*tan(25.94)/0.35) = 3.69 rad/s
w = 2pi/t
t = 2*3.14/3.69 = 1.701 sec
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