pHYS 50 NII HW Problems (2) t .. Two identical 15.0-kg balls, each 25.0 cm in di
ID: 1732168 • Letter: P
Question
pHYS 50 NII HW Problems (2) t .. Two identical 15.0-kg balls, each 25.0 cm in diameter, are suspended by two s.0-em wires as shown in Fig. P5.87. The entire apparatus is supported by a single 0-cm wire, and the surfaces of the balls are perfectly smooth. (a) Find the tension in each of the three wires. (b) How hard does each ball push on the other one? 18.0 em -t 350 cm 35.0cm 5.56 An adventurous archaeologist crosses between two rock cliffs by slowly going hand over hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope (Fig. P5.56), The rope will break if the tension in it exceeds 2.50 x 104 N, and our hero's mass is 90.0 kg. (a) If the angle ? is 10.0°, find the tension in the rope. (b) What is the smallest value the angle 0 can have if the rope is not to break? Figure P5.56Explanation / Answer
1)
Length of wire, L = 0.35 + 0.125 = 0.475 m
R= 0. 125 m
Mass, m =15.0 kg
b)
We have f/mg = R / Lcos(theta)
then f = m g R / Lcos(theta)
also Lcos(?)= sqrt[L^2 - R^2]
f = m g R / sqrt[L^2 - R^2] = (15 x 9.8 x 0.125)/sqrt(0.475^2 - 0.125^) = 40.10 N
A) T/f = L/R
T = fL/R = (40.10 x 0.475)/0.125 = 152.38 N
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