Homework 23

# Homework 23 - homework 23 BAUTISTA ALDO Due 4:00 am Version...

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homework 23 – BAUTISTA, ALDO – Due: Mar 27 2006, 4:00 am 1 Version number encoded for clicker entry: V1:1, V2:4, V3:2, V4:4, V5:3. Question 1 Part 1 of 3. 10 points. An air puck of mass 0 . 353 kg is tied to a string and allowed to revolve in a circle of radius 0 . 55 m on a horizontal, frictionless table. The other end of the string passes through a hole in the center of the table and a mass of 1 . 3 kg is tied to it. The suspended mass remains in equilibrium while the puck revolves. The acceleration of gravity is 9 . 8 m / s 2 . 0 . 55 m v 1 . 3 kg 0 . 353 kg What is the tension in the string? Correct answer: 12 . 74 N (tolerance ± 1 %). Explanation: r v Mg m Since the suspended mass is in equilibrium, the tension is T = M g = (1 . 3 kg) ( 9 . 8 m / s 2 ) = 12 . 74 N . Question 2 Part 2 of 3. 10 points. What is the horizontal force acting on the puck? Correct answer: 12 . 74 N (tolerance ± 1 %). Explanation: The horizontal force acting on the puck is the tension in the string, so F c = T = 12 . 74 N . Question 3 Part 3 of 3. 10 points. What is the speed of the puck? Correct answer: 4 . 45532 m / s (tolerance ± 1 %). Explanation: F c = m v 2 r v = r F c r m = s (12 . 74 N) (0 . 55 m) 0 . 353 kg = 4 . 45532 m / s . Question 4 Part 1 of 1. 10 points. A wheel rotates with a constant angular acceleration of 4 . 53 rad / s 2 . Suppose that at t 0 = 0, the angular speed of the wheel is 1 . 39 rad / s. What angle does the wheel rotate through in 3 . 5 s? Correct answer: 5 . 19024 rev (tolerance ± 1 %). Explanation: For the angle of rotation of the wheel (for a constant angular acceleration) we have θ - θ 0 = ω 0 t + 1 2 α t 2 = (1 . 39 rad / s ) (3 . 5 s ) + 1 2 (4 . 53 rad / s 2 ) (3 . 5 s ) 2 = 32 . 6112 rad = 5 . 19024 rev . Question 5 Part 1 of 3. 10 points.

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homework 23 – BAUTISTA, ALDO – Due: Mar 27 2006, 4:00 am 2 A 4 . 7 kg mass is connected by a light cord to a 3 . 3 kg mass on a smooth surface as shown. The pulley rotates about a frictionless axle and has a moment of inertia of 0 . 73 kg · m 2 and a radius of 0 . 58 m. The acceleration of gravity is 9
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Homework 23 - homework 23 BAUTISTA ALDO Due 4:00 am Version...

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