1. A small object of mass m is located on the surface of the disk with radius R if themagnitude of the coefficient of static friction between the object and the disc is u andthe disc rotates with a certain angular speed so that the object of mass m slidesfrom the disc which is at a height h. Prove that the horizontal distance traveledby the object isx = JuR2h2. A child of mass 80 kg sits on a spinning disc and begins to slide if thecoefficient of friction is 0.5 and the angular velocity of the rotating disc is10rad/s. calculate the maximum radius R provided that the child can still sitand remain on the spinning disc? Compare your answer with the manualsolution and use MatlabA beautiful jumper with mass m jumps from a height of 10 m (aCalculate the initial velocity V at the time of the diver's collision with the water and theestimated time from the time of the dive to the collision. Assume that the buoyant force of thewater is able to balance the magnitude of the gravitational force on the diver and theviscous force on the diver. formulated by(b) Determine the equation of motion when the diver is in free fall. Construct thevelocity function Vas a function of the depth x under the water provided that V = Vo at x =Om(c) if the magnitude is b/m = 0.4 m-1, find the depth reached if V = Vo/10 (d)Determine the equation for the time-dependent depth.4. The frictional force between air and a person riding a bicycle is defined byF-av where V is velocity and a 4 newton-sec/m. At maximum, thedriving power is 600 watts. Analyze the value of the maximum speed in thehorizontal direction without wind? Compare your answer with the manual solutionand use Matlab

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A small object of mass m is located on the surface of the disk with radius R if the magnitude of the coefficient of static friction between the object and the disc is u and the disc rotates with a certain angular speed so that the object of mass m slides from the disc which is at a height h. Prove that the horizontal distance traveled by the object is x = VµR2h

A small object of mass m is located on the surface of the disk with radius R if the magnitude of the coefficient of static friction between the object and the disc is u and the disc rotates with a certain angular speed so that the object of mass m slides from the disc which is at a height h. Prove that the horizontal distance traveled by the object is x = VµR2h

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter7: Dry Friction

Section: Chapter Questions

Problem 7.3P: Two identical chairs, each weighing 14 lb, are stacked as shown. The center of gravity of each chair...

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