1. The figure below shows a \"conical pendulum\", in which the bob (the small ob
ID: 1415953 • Letter: 1
Question
1. The figure below shows a "conical pendulum", in which the bob (the small object at the lower end of the cord) moves in a horizontal circle at constant speed. (The cord sweeps out a cone as the bob rotates.) The bob has a mass of 0.050 kg, the string has length L = 0.50 m and negligible mass, and the bob follows a circular path of circumference 0.88 m. (a) What is the tension in the string? N (b) What is the period of the motion? s
2. A sphere of mass 3.3 10-4 kg is suspended from a cord. A steady horizontal breeze pushes the sphere so that the cord makes a constant angle of 39° with the vertical. (a) Find the magnitude of that push. N (b) Find the tension in the cord. 26.18 . N
Explanation / Answer
1)
circumference s = 2*pi*R = 0.88
radius R = 0.88/(2*pi) = 0.14
sintheta = R/L
theta = 16.3
along vertical
T*costheta = mg
T*sin16.3 = 0.05*9.8
T = 1.75 N <<<<<<<<<<---------answer
along horizantal
T*sintheta = mv^2/R
v = 2*pi*R/T = 0.88/T
T*sintheta1.75*sin16.3 = 0.05*4*pi^2*R/T^2
1.75*sin16.3 = 0.05*4*pi^2*0.14/T^2
T = 0.75 s <<<<<<<<<<---------answer
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2)
along vertical
T*costheta = mg
T*sintheta = F
tantheta = F/mb
tan39 = F/(3.3*10^-4*9.8)
T = 26.18*10^-4 N <<<<<<<<<<---------answer
T*cos39 = 3.3*10^-4*9.8
T = 41.6*10^-4 N <<<<<<<<<<<<<<<---------answer
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