HW5Sol

# HW5Sol - Hand in Homework 5 1) Two wires are tied to the...

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Hand in Homework 5 1) Two wires are tied to the 2.0kg sphere as shown in the figure. The sphere revolves in a horizontal in a horizontal circle at a speed. a) For what speed is the tension the same for both wires.? b) What is the Tension? a) Newton’s second law along the r and z axes is: F r = Τ 1 σιν30 + 2 σιν60 = μω τ 2 ρ F z = 1 χοσ30 + 2 χοσ60 - ϖ = 0Ν Since we want T 1 = T 2 = T , these two equations become T sin 30 + σιν60 ( 29 = 2 T cos30 + χοσ60 ( 29 = μγ Since sin 30 + σιν60 = χοσ30 + χοσ60 , mg = 2 ω = ργ The triangle with sides L 1 , L 2 , and 1 m is isosceles, so L 2 = 1 m and r = L 2 cos30 . Thus L 2 cos 30 γ = 1 μ ( 29 χοσ30 = 0.866μ ( 29 9.8μ / σ 2 ( 29 = 2.91μ / σ (b) The tension is

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## This note was uploaded on 05/20/2008 for the course PHYS 161 taught by Professor Hammer during the Spring '07 term at Maryland.

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HW5Sol - Hand in Homework 5 1) Two wires are tied to the...

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