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

We will answer the first question since the exact one was not specified. Please resubmit the…

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

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Forming and Shaping

Metal forming is a category of metalworking process through which the material can be given the desired shape and size by subjecting it to plastic deformation, where the component undergoes bulk deformation process upon application of loads. Unlike the shearing and machining process, the material does not undergo up to a failure point as indicated in the stress-strain curve. Hence, the stresses induced during the forming process are greater than yield strength but less than the failure strength of the material. The process does not lead to the loss of material, so it can be said to be an economical process. During forming, the material is subjected to tensile forces, compressive forces, bending, and shearing loading conditions. The material should possess the property of ductility to undergo the forming process.

Question

1. 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 = JuR2h
2. A child of mass 80 kg sits on a spinning disc and begins to slide if the
coefficient of friction is 0.5 and the angular velocity of the rotating disc is
10rad/s. calculate the maximum radius R provided that the child can still sit
and remain on the spinning disc? Compare your answer with the manual
solution and use Matlab
A beautiful jumper with mass m jumps from a height of 10 m (a
Calculate the initial velocity V at the time of the diver's collision with the water and the
estimated time from the time of the dive to the collision. Assume that the buoyant force of the
water is able to balance the magnitude of the gravitational force on the diver and the
viscous force on the diver. formulated by
(b) Determine the equation of motion when the diver is in free fall. Construct the
velocity 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 by
F-av where V is velocity and a 4 newton-sec/m. At maximum, the
driving power is 600 watts. Analyze the value of the maximum speed in the
horizontal direction without wind? Compare your answer with the manual solution
and use Matlab

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