Question 1.A tube rotates in the horizontal ry plane with a constant angular velocity w about the z-axis. Aparticle of mass m is released from a radial distance R when the tube is in the position shown.This problem is based on problem 3.2 in the text.Rm2RFigure 1xa) Draw a free body diagram of the particle if the tube is frictionless.b) Draw a free body diagram of the particle if the coefficient of friction between the sides of thetube and the particle is = k = p.c) For the case where the tube is frictionless, what is the radial speed at which the particleleaves the tube?d) For the case where there is friction, derive a differential equation that would allow you tosolve for the radius of the particle as a function of time. I'm only looking for the differentialequation. DO NOT solve it.1e) If there is no friction, what is the angle of the tube when the particle exits?• Hint: You may need to solve a differential equation for the last part. The "potentiallyuseful formulas" may be useful if you are rusty on your differential equations.

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Answered: Question 1. A tube rotates in the…

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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A block is being pushed on a flat surface of magnitude 45N. The force of friction on the brick is 13 N. that mass of the block is 11kg. A draw a free body diagram B what is the net force acting on the block C what is the acceleration of the block?
Question 1. A tube rotates in the horizontal xy plane with a constant angular velocity w about the z-axis. A particle of mass m is released from a radial distance R when the tube is in the position shown. This problem is based on problem 3.2 in the text. y ω R m 2R Figure 1 X a) Draw a free body diagram of the particle if the tube is frictionless. b) Draw a free body diagram of the particle if the coefficient of friction between the sides of the tube and the particle is μs = flk = fl. c) For the case where the tube is frictionless, what is the radial speed at which the particle leaves the tube? d) For the case where there is friction, derive a differential equation that would allow you to solve for the radius of the particle as a function of time. I'm only looking for the differential equation. DO NOT solve it. e) If there is no friction, what is the angle of the tube when the particle exits? • Hint: You may need to solve a differential equation for the last part. The "potentially…
Given: A uniform slender rod is at rest upon a frictionless horizontal surface when a force (F) is applied in the direction shown. Assume that the rod has mass m and length L. A L Horizontal Plane Given that F = 74lb, L = 7.1 ft, mg = 4.6lb, and 0 = 73deg What is the component of acceleration of the mass at point G in the i direction? Answer: Check What is the component of acceleration of the mass at point G in the j direction? Answer: Check What is the component of angular acceleration of the mass in the k direction? (remember your signs) Answer: Check
weighs 60 N on Earth. (3). A system consists of a pulley (vertical wheel) that is only allowed to rotate (spin). A cord is passed over the pulley and at each end there is a mass attached to the end of the cord. The mass attached on the left is m, =0.6 kg and at the right the mass is m2 = 0.8 kg. a) Calculate both the Tension in the cord and the acceleration of the system. b) What are the accelerations of both masses, if you were to cut the cord? Neglect the friction between cord and wheel,
Assignment 4 1) A particle of mass 1 slug is moving in a constant force field given as F = 3i+ 10j - 5k lb the particle starts from rest at position (3,5,-4). What is the position of the par- ticle at time t = 8 seconds?
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A block is held against a compressed string when it is released from rest. It then slides around a vertical loop without friction. The setup is shown. A www Rough Smooth A) In terms of the mass of the block m, spring constant k, radius of the loop, R, and the acceleration due to gravity, g. What is the minimum compression distance (from relaxed length) of the spring if the block is to make it around the loop without leaving the track? B) After exiting the loop, the block encounters a rough surface where the coefficient of kinetic friction between the block and the rough surface is µ. What is the minimum stopping distance on the rough surface needed if the block had the minimum speed to stay on the track from part a?
1. What is the vertical acceleration and normal velocity when the spring is stretched an extra 0.70.7 mm (note as d in the drawing)? 2. What is velocity and acceleration when the stretch, d, is 0.10.1 mm?
Experiment #2: Acceleration vs. Mass Link https://phet.colorado.edu/sims/html/forces-and-motion-basics/latest/forces-and-motion-basics_en.html In this lab you will determine the relationship between acceleration and mass. Choose an Applied Force at the beginning, and keep it constant for this entire experiment. Set the friction to zero. This will make your Applied Force equal to the net force. Record data for five different values of Mass. Graph Acceleration vs. Mass. Graph this in Google sheets(you want a line graph - it should only have one line). Make sure that Mass information is used as the x value Make sure that Acceleration information is used as the y value Add a trendline – see what fits best – linear, exponential, polynomial, etc … Add a copy of you graph below the table Applied Force (N) Mass (kg) Acceleration (m/s²)
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