Question 1.A tube rotates in the horizontal xy 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.yωRm2RFigure 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 μs = flk = fl.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.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 "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

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3) Rotational Kinetics VG = 20 ft/s 0.5 ft A The 20 Ib ball is given an initial backspin w = 10rad/s. Determine the velocity of the center of the ball after the ball stops slipping if µx = 0.3. Consider the following procedure a) Draw a FBD of the ball including a kinetic friction force (the ball is slipping) b) Write Newton's second laws for translation and rotation c) Solve for the acceleration and angular acceleration of the ball d) Find the velocity and angular velocity as functions of time e) Looking at those equations, consider when the ball would stop slipping 3
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1 A SPHERICAL PORCELAIN BALL, WITH RADIUS R, IS DROPPED WITHOUT INITIAL VELOCITY IN A TEST TUBE CONTAINING GLYCERIN. DURING FALL, THE BALL IS SUBJECT TO THE FOLLO... A spherical porcelain ball, with radius r, is dropped without initial velocity in a test tube containing glycerin. During fall, the ball is subject to the following forces: P its weight; A the thrust of Archimedes; fluid friction force f = k v with k = 6 πrn; n: viscosity (Pa s) of Glycerin, V, velocity Density of Glycerin pg= 1.3 g/mL; density of porcelain pp = 2.3 g/mL; r ball radius= 1.0 cm; n = 1.0 s.Pa; g = 10 N/kg; volume of a sphere V = 4/3 πr³. The speed limit (in m/s) is: 0.11 0.22 0.44 0.33 0.55
A forensic scientist test-fires a projectile (mass mP) at a cubic block (volume V), made from wood (density D), resting on a rough surface (static = kinetic coefficient uS). The bullet enters the block with an initial velocity vo and exits the block with a velocity v1. The friction forces on the bullet as it passes through the length of the block are unknown and are assumed to be constant. Solve these problems algebraically first: a) What is the deceleration of the bullet inside the block? How many "g" is that? b) How much time does it take the projectile to pass through the block? c) What is the velocity of the block as the bullet exits? d) How long (time) and how far (distance) does the block slide after the bullet has exited? e) Solve the above numerically for the following parameters (g =9.81m/s^2): mP = 10g, V = 0.1m^3, D = 500kg/m^3, µS = 0.8, v0 = 500m/s, v1 = 100m/s
acceleration of the skier: 5.5329 m/s^2
PRINTER VERSION ( BACK NEXT Chapter 06, Problem 034 GO Z Your answer is partially correct. Try again. In the figure, a slab of mass m, = 40 kg rests on a frictionless floor, and a block of mass m, = 9 kg rests on top of the slab. Between block and slab, the coefficient of static friction is 0.60, and the coefficient of kinetic friction is 0.40. A horizontal force F notation, what are the resulting accelerations of (a) the block and (b) the slab? of magnitude 102 N begins to pull directly on the block, as shown. In unit-vector u = 0- (a) NumberT-7.4 7.4 Units m/s^2 (b) Number-0.88 i UnitsT m/s 2 Click if you would like to Show Work for this question: Open Show Work SHOW HINT LINK TO TEXT LINK TO SAMPLE PROBLEM LINK TO SAMPLE PROBLEM VIDEO MINI-LECTURE 6:46 PM search ENG 4/4/2021 prt sc pause insert dele to a Pgup break %23 back 5. 3.
The in-plane angular speed of the bent bar indicated below is w = 0.2 rad/s. The dimensions of the bar are L = 0.4 m and H = 0.6 m. Find the magnitude of the velocity (in m/s) of the endpoint B. H B L Figure is from "Engineering Mechanic An Introduction to Dynamics", McGill and King.
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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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A. The mechanism shown is used to feed cartons to a labeling machine. The drive shaft rotates clockwise. The ram weights 1.5 lb and the coefficient of friction between the ram and the machine is 0.2. Gravitational acceleration: g = 386 in/s². The weight of all other links is negligible. The linear ram acceleration is 5378 in/s² (horizontal direction, sense: to the left). 1. Draw the kinematic diagram. 2. For the instant shown, determine the torque required from the drive shaft to operate the ram. 3" -40° Connecting rod Ram

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