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

See similar textbooks

Similar questions

A bicycle and a rider of mass 90 kg are travelling at the rate of 15 km/hr on the level road. A brake is applied to the rear wheel which 0.70 m in diameter and this is only resistance acting. How far will the bicycle travel and how many turns will its wheel make before it comes to rest? The pressure applied on the brake is 100 N. Take µ = 0.06.
The 2-kg spool S fits loosely on the inclined rod for which the coefficient of static friction is μ = 0.28. (a) If the spool is located 0.25 m from A, determine the maximum constant speed the spool can have so that it does not slip up the rod. Express your answer to three significant figures and include the appropriate units.
The automobile has a weight of 3300 lb and is traveling forward at 4 ft/s when it crashes into the wall. The impact occurs in 0.06 s. The figure shows a car crashing into a wall. If the coefficient of kinetic friction between the wheels and the pavement is μk = 0.3, calculate the impulsive force on the wall if the brakes were applied during the crash. The brakes are applied to all four wheels so that all the wheels slip
During a brake test, the rear-engine car is stopped from an initial speed of 87 km/h in a distance of 46 m. If it is known that all four wheels contribute equally to the braking force, determine the braking force Fat each wheel. Assume a constant deceleration for the 1580-kg car. 46 m V1 = 87 km/h lg = 0 Answer: F = i N
I Review The 250-kg crate rests on the ground for which the coefficients of static and kinetic friction are ug = 0.5 and uk = 0.4, respectively. The winch delivers a horizontal towing force T to its cable at A which varies as shown in the graph. Originally the tension in the cable is zero. (Figure 1) Part A Determine the speed of the crate when t = 3.9 s. Hint: First determine the force needed to begin moving the crate. Figure Express your answer to three significant figures and include the appropriate units. • View Available Hint(s) T(N) ? 800 T= 400 2 Value Units v = I(s) 4
The spring-mounted 0.82-kg collar A oscillates along the horizontal rod, which is rotating at the constant angular rate À = 9.1 rad/s. At a certain instant, r is increasing at the rate of 850 mm/s. If the coefficient of kinetic friction between the collar and the rod is 0.56, calculate the friction force F exerted by the rod on the collar at this instant. Vertical 0 Answer: F= i Attempts: 0 of 3 used Submit Answer eTextbook and Media Save for Later N
The 1.334-Mg car is traveling along the curved road described by r = (50e28) m, where 0 is in radians. If a camera is located at A and it rotates with an angular velocity of Ó = 0.083 rad/s and an angular acceleration of ö = 0.304 rad/s? at the instant 0 = 0.879 rad, .determine the resultant friction force developed between the tires and the road at this instant %3D r= (50")m
A heavy crate with a weight of 160 lbs rests on a floor for which μS = 0.2. Find the minimum force P necessary for impending motion and determine whether the crate slides or tips, given:L1 = 4.4 ft, L2 = 2 ft, θ = 30 °
Block B is on top of an inclined plane and is being supported by Rod AB, which is attached to Block A. The weight of Block A is 40 KN, and the weight of Block B is 80 KN. Force F prevents the block from sliding. Determine the Normal Force N of the surface that supports Block A. Neglect all friction.
The collar of 5 kg mass shown in the figure у (т) x2 2 moves on a parabolic bar on a horizontal plane. The collar has a speed of 8 m/sec when it is at point B. Determine the friction force between B the collar and the bar if the coefficient of friction is 0.25. Formula of the parabolic bar is shown in the figure. -4 4 x (т)
2. The 150-1b man lies against the cushion for which the coefficient of static friction is µ̟ = 0.5. If he rotates about the z axis with a constant speed of v = smallest angle 0 of the cushion at which he will begin to slip off. 30 ft/s, determine the -8 ft Figure: 13 PO63-064
The homogeneous cylinder A has a mass of 80 kg, and the mss of the hub can be neglected. The magnitude of the variable force P, is in newtons when t is in sec- onds. The velocity of body B changes from 2 m/s downward when t = 0 to 4 m/s downward t = 5 s. Determine the mass of B. Solve all questions using Impulse and Momentum methods