Conservation of Energy TheoremA wheel is rotated without slipping.The mass of the wheel is m-3kg, the radius of the wheel is r-9mm and the radius of gyration at G iskç-8 mm. The distance between C and G is d-3mm.The initial angular velocity is w₁4 rad/s.mWIс1) Draw the kinetic diagram at the initial position (include w₁ and VG1)2) Find the formula between w₁ and VG1-3) Draw the kinetic diagram after the wheel rotates 90deg CCW (include wą and VG2).4) Find the formula between w₂ and VG2-5) Use the theorem of conservation of energy to find w₂ and VG2.

Answered: Image /qna-images/answer/5f3ab464-ad6f-407f-bdbe-d19ccceb8ec2.jpg

Conservation of Energy Theorem A wheel is rotated without slipping. The mass of the wheel is m-3kg, the radius of the wheel is r-9mm and the radius of gyration at G is kc 8 mm. The distance between C and G is d-3mm. The initial angular velocity is w₁ - 4 rad/s. 1) Draw the kinetic diagram at the initial position (include ₁ and VG₁) 2) Find the formula between wand VG1- 3) Draw the kinetic diagram after the wheel rotates 90deg CCW (include w₂ and VG2). 4) Find the formula between w₂ and VG2- 5) Use the theorem of conservation of energy to find w₂ and VG2-

Conservation of Energy Theorem A wheel is rotated without slipping. The mass of the wheel is m-3kg, the radius of the wheel is r-9mm and the radius of gyration at G is kc 8 mm. The distance between C and G is d-3mm. The initial angular velocity is w₁ - 4 rad/s. 1) Draw the kinetic diagram at the initial position (include ₁ and VG₁) 2) Find the formula between wand VG1- 3) Draw the kinetic diagram after the wheel rotates 90deg CCW (include w₂ and VG2). 4) Find the formula between w₂ and VG2- 5) Use the theorem of conservation of energy to find w₂ and VG2-

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 student holds a bike wheel and starts it spinning with an initial angular speed of 7.0 rotations per second. The wheel is subject to some friction, so it gradually slows down. In the 10.0 s period following the inital spin, the bike wheel undergoes 45.0 complete rotations. Assuming the frictional torque remains constant, how much more time At, will it take the bike wheel to come to a complete stop? Ats = The bike wheel has a mass of 0.725 kg and a radius of 0.315 m. If all the mass of the wheel is assumed to be located on the rim, find the magnitude of the frictional torque Tf that was acting on the spinning wheel. N. m Tf = - TOOLS x10
In the following system the wheel rolls without sliding. The number N of degrees of free dome of the system is k. k k k F(t) m m N=5 N=2 N=6 N=3 Clear my choice
Find out the velocity of slider D and angular velocity of CD in the mechanism shown below. Take Q1A= Q2B = 2cm; Q1Q2 = 4 cm; CD = 6 cm and wQ,A rad = 1 sec Solve using instantaneous center method. Use CCW direction. 20 QI 1 A Q2 20
r CC BY UBC Engineering Montana James is shooting a scene in which he is running away from a foam cylinder (it will be replaced by a boulder in post-production). If the cylinder has mass m = 30 kg and a radius of r = 1.9 m, calculate the cylinders total kinetic energy. Assume the cylinder rolls without slipping at an angular velocity of w rad 6
Consider the disk and axle shown below. The axle has a constant angular velocity (in rad/s) in the inertial frame given by: A/N = 0.152 i. The disk has an angular velocity (in rad/s) in the axle frame given by: p/A 0.504 k . Calculate the magnitude of angular acceleration of the disk in the inertial frame (in rad/s?). N D
B 400 mm 350 350 m A A slender steel rod ABweighs 2.8 kg and is secured to the rotating shaft by the rod OG and its fittings at O and G (as shown in the figure). The angle B remains constant at 30°, and the entire rigid assembly rotates about the z-axis at the steady rate N = 600 rev/ min.
Problem 7 (Use relative motion analysis): The four-bar linkage is a famous one! If the angular velocity and angular acceleration of the drive link OA are 10 rad/s and 5 rad/s², find the angular acceleration of bar AB at this position. Ans: %AB = -15.99 rad/s² B 200 mm CO 15⁰ 240 mm @0, %0 0 A 80 mm 60°
The uniform rod (length 0.7 m) in figure rotates about an axis through one end, with a rotational inertia of 0.13 kg-m2. As the rod swings through its lowest position, it collides with a 0.20 kg stationary particle that sticks to the end of the rod. If the rod's angular speed just before collision is 2.5 rad/s, what is the angular speed (in rad/s) of the rod-particle system immediately after collision? Rotation axis Rod Answer:
The following diagram shows a piston moving in a cylinder with rod AB. Point B is rotating clockwise with an angular velocity of w. cylinder piston A connecting rod crank bearing B ResearchGate The motion of B is given by the equation r = C cos(wt) + Dsin(wt) Were r is the horizontal +vertical distance of B from O, and C, D are constants. For C=D=42mm and w = 20 rad/s. (i) Write r in the form Rcos (wt ± ß) and state the amplitude and period of r. (ii) Sketch one complete cycle of r. (iii) Explore the differences between the derived form and drawn form
A load is raised 11 ft by the gears and wheel system below. Gear A is initially rotating at rest and accelerates uniformly to omega = 24 rpm in t= 10 sec and maintain then maintain this constant 24 rpm speed. The dimensions are rA= 1 in, rB= 9 in and rC=16 in. 2) After 10 sec, find the distance s2 in feet and in NC es needed to reach the 11 ft, find thetaC2(t), alphaA2, alphaB2 in rad/s^2, omegaA2(t), omegaB2(t) in rad/s, thetaA2(t), in rad and the distance s2 in ft that should be made to get to the 11 ft raising distance of the load. 3) Deduce the number of revolutions made by gear A and how long it will take, to raise the load up to 11 ft.
Data Mass A is at 35 mm from support X Mass B is at 96.5 mm from support X Mass C is at 122.7 mm from support X Mass A is at zero degrees and D at 90o from A A B C D Mass (g) 21 44 59 19 Eccentric length r (mm) 36 25 34 36 Calculate the following: Use the graphical method to determine the angular position of masses B and C. Calculate the position of mass D from support X. If the shaft rotates at 150 r.p.m calculate the dynamic force experienced by the bearings.
a) In given figure below for the position shown, calculate angular accelerations for both linkages BC and CD. D A WAB = 2.4 rad/s CAB = 1.5 rad/s? %3D B 95 Dimensions in mm 08