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A tow truck is lowering a car on a flatbed truck as depicted in the figure. The car (shown schematically as a box) is tied to a metal cable that is wrapped around a pulley, of radius R= 0.02 m that may be modeled as a uniform disk with a moment of inertia I= 0.5M,R². The mass of the pulley is Mp 383 kg.

A tow truck is lowering a car on a flatbed truck as depicted in the figure. The car (shown schematically as a box) is tied to a metal cable that is wrapped around a pulley, of radius R= 0.02 m that may be modeled as a uniform disk with a moment of inertia I= 0.5M,R². The mass of the pulley is Mp 383 kg.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A tow truck is lowering a car on a flatbed truck as depicted in the figure. The car (shown schematically as a box) is tied to a metal cable that is wrapped around a pulley, of radius R= 0.02 m that may be modeled as a uniform disk with a moment of inertia I = 0.5M, R2. The mass of the pulley is M, = 383 kg. The plane of the flatbed makes an angle of 0 = 30 degrees with the horizontal, and the car is accelerating down the incline at a rate of a = 0.3 m/s?. M. The car has a mass of M = 1850 kg. The coefficient of kinetic friction the car experiences as it slides down the incline is unknown (you will be asked to determine it in the problem). 30 Write an algebraic expression for the tension in the cable (T) from the perspective of the car on the incline. Your answer should depend on M, g, 0, Hk and a. Use the coordinate system shown in the figure, with positive x pointing down the incline. T =
Transcribed Image Text:A tow truck is lowering a car on a flatbed truck as depicted in the figure. The car (shown schematically as a box) is tied to a metal cable that is wrapped around a pulley, of radius R= 0.02 m that may be modeled as a uniform disk with a moment of inertia I = 0.5M, R2. The mass of the pulley is M, = 383 kg. The plane of the flatbed makes an angle of 0 = 30 degrees with the horizontal, and the car is accelerating down the incline at a rate of a = 0.3 m/s?. M. The car has a mass of M = 1850 kg. The coefficient of kinetic friction the car experiences as it slides down the incline is unknown (you will be asked to determine it in the problem). 30 Write an algebraic expression for the tension in the cable (T) from the perspective of the car on the incline. Your answer should depend on M, g, 0, Hk and a. Use the coordinate system shown in the figure, with positive x pointing down the incline. T =
Write an algebraic expression for the tension in the cable (T) from the perspective of the car on the incline. Your answer should depend on M, g, 0, H and a. Use the coordinate system shown in the figure, with positive x pointing down the incline. T = cos(e) sin(0) Y 4 15 6. a g 1 2 M, VO Submit Hints: Feedback: Write an algebraic expression for the tension in the cable (T) from the perspective of the pulley. Your answer should only depend on the mass of the pulley M,, and the acceleration a of the car. From your answers in parts (a) and (b) obtain a numerical value for the coefficient of kinetic friction such that the car slides down the incline at the acceleration given in the problem statement. Obtain a numerical value for the magnitude of the torque the pulley experiences in N-m. Determine the time, in seconds, it takes the pulley to make 10 revolutions while lowering the vehicle, if the car begins from rest.
Transcribed Image Text:Write an algebraic expression for the tension in the cable (T) from the perspective of the car on the incline. Your answer should depend on M, g, 0, H and a. Use the coordinate system shown in the figure, with positive x pointing down the incline. T = cos(e) sin(0) Y 4 15 6. a g 1 2 M, VO Submit Hints: Feedback: Write an algebraic expression for the tension in the cable (T) from the perspective of the pulley. Your answer should only depend on the mass of the pulley M,, and the acceleration a of the car. From your answers in parts (a) and (b) obtain a numerical value for the coefficient of kinetic friction such that the car slides down the incline at the acceleration given in the problem statement. Obtain a numerical value for the magnitude of the torque the pulley experiences in N-m. Determine the time, in seconds, it takes the pulley to make 10 revolutions while lowering the vehicle, if the car begins from rest.
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