# hw24 - Muraj Hamza Homework 24 Due 4:00 am Inst Florin This...

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Muraj, Hamza – Homework 24 – Due: Mar 29 2006, 4:00 am – Inst: Florin 1 This print-out should have 10 questions. Multiple-choice questions may continue on the next column or page – fnd all choices be±ore answering. The due time is Central time. 001 (part 1 o± 1) 10 points You are using a wrench to tighten a nut. wrench rod F nut 1 wrench F nut 2 wrench rod F nut 3 wrench F nut 4 Which o± the ±ollowing correctly lists the arrangements (above) in descending order o± torque magnitude? 1. τ 3 τ 2 τ 4 τ 1 2. τ 2 τ 4 τ 3 τ 1 3. τ 1 τ 3 τ 2 τ 4 4. τ 2 τ 1 τ 3 τ 4 5. τ 3 τ 4 τ 2 τ 1 6. τ 4 τ 2 τ 3 τ 1 7. τ 3 τ 1 τ 2 τ 4 8. τ 2 τ 4 τ 1 τ 3 9. τ 1 τ 2 τ 3 τ 4 10. τ 2 τ 1 τ 4 τ 3 correct Explanation: Basic Concepts: τ ~r × ~ F Solution: The ±orce as shown is in the x direction. There±ore, the perpendicular ra- dius arm is always in the y direction. The longer the radius arm, the greater the torque τ . There±ore, τ 2 τ 1 τ 4 τ 3 002 (part 1 o± 1) 10 points Given: A circular shaped object with an inner radius o± 10 cm and an outer radius o± 21 cm. There are three ±orces (acting perpendicular to the axis o± rotation) whose magnitudes are 13 N, 24 N, and 16 N acting on the object, as shown in the fgure. The ±orce o± magnitude 24 N is 37 below horizontal. 13 N 16 N 24 N 14 kg 37 ω 10 cm 21 cm Find the magnitude o± the net torque on the wheel about the axle through the center o± the object. Correct answer: 3 . 69 Nm. Explanation: Let : a = 10 cm , b = 21 cm , F 1 = 13 N , F 2 = 24 N , F 3 = 16 N , and θ = 37 .

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Muraj, Hamza – Homework 24 – Due: Mar 29 2006, 4:00 am – Inst: Florin 2 F 1 F 3 F 2 M θ ω a b The total torque is τ = a F 2 - b F 1 - b F 3 = (10 cm)(24 N) - (21 cm) h (13 N) + (16 N) i = - 3 . 69 Nm k ~ τ k = 3 . 69 Nm . 003 (part 1 of 1) 10 points A(n) 6 kg mass is attached to a string which is wrapped several times around a uniform solid cylinder of radius 4 m and moment of inertia of I = 6 kgm 2 . Assume: The cylinder can rotate freely. The acceleration of gravity is 9 . 8 m / s 2 . I = 6 kgm 2 r 6 kg Find the torque on the cylinder. Correct answer: 13
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hw24 - Muraj Hamza Homework 24 Due 4:00 am Inst Florin This...

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