m Review Problem: The figure above shows a "conical pendulum." Its a pendulum that maintains a constant angle 0 as it spins about the central axis. Using the values given in the figure and any physical constants, determine the magnitude of the angular momentum of the conical pendlum. 6,767

m Review Problem: The figure above shows a "conical pendulum." Its a pendulum that maintains a constant angle 0 as it spins about the central axis. Using the values given in the figure and any physical constants, determine the magnitude of the angular momentum of the conical pendlum. 6,767

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

Find the moments of inertia in kg-m2 of the pendulum shown in the figure below about the z-axis. The x and y axes are in the plane of the pendulum. Ris a slender rod of 1.0 kg, and D is a semicircular disk of 2.0 kg. L = 1.1 m and r = 0.25 m. R L D Figure is from "Engineering Mechanic An Introduction to Dynamics", McGill and King.
The iillustration depicts a prototype design for the High-G Rover. It is made up of an arm that is attached to a shaft that is pinned to a disk. The aarm has a retractable shaft that extends and contracts to cause the disk to rotate. To make the computation easier, let us assumee that the arm does nott rotate A. If the arm's total length is L = 640mm, the distance from the centre of the disk to the shaft pin is r = 112mm, and the arm rotates clockwise at a constant angular velocity of 250.273 rpm. 1.) Would an increase in angular velocity increase point C's linear velocity relative to point A? If so, why or why not? a.) What is the linear velocity of point C with respect to point A if the angular position of the pin (between AB and BC) is 0.578 radians? b.) What is the distance between points A and C if the angular position of the pin (between AB and BC) is 0.578 radians? c.) What is the linear velocity of point C with respect to point A if the angular velocity is increased by 34.34…
wheel with a mass of 20 kg and a radius of inertia of 300mm, moves under the influence of a torque of 100Nm. Find the angular acceleration of the wheel, the linear acceleration of its center O, the wheel pressure n the ground N, and the mass moment of inertia J. Give the result to 2 decimal places.
Given that P = 50N, and the rod has mass = 0.370 kg with centroidal mass moment of inertia l = 37/19200 kg-m²:a. Which of the equations given in the second image can be used to solve for the angular acceleration of rod BD?b. What is the angular acceleration of rod BD?
M M 1.5m m M m = 2kg. M = 3.5kg a) justify whether the moment of inertia about the vertical or horizontal axis have smaller value. Show your calculation. (b) Given angular velocity of 80 rev s¹ in 240 rev. Has a moment of inertia of 1.41x10-3 kg m2. Find: (i) angular acceleration. (ii) net constant torque must apply (c) A space station consists of a giant rotating hollow cylinder of mass 10 kg including people on the station and a radius of 100 m. Given initial angular velocity of 3.3rpm in order to generate artificial gravity. If 100. people, each with an average mass of 65 kg spacewalk to an awaiting spaceship. Find the new angular velocity (in rpm) once all the people are off the station. (d) Suppose a child walks from the outer edge of a rotating merry-go-round to the center. What happend to the angular velocity of the merry-go-round does it increase, decrease, or remain the same? By using the conservation of angular momentum, explain your answer qualitatively.. A large train has…
A uniform rod (mass = 1.8 kg) is 1.5 m long. The rod is pivoted about a horizontal, frictionless pin through one end. The rod is released from rest in a horizontal position. What is the angular speed of the rod (in rad/s) when the rod makes an angle of 23° with the horizontal?. The moment of inertia of the rod about this axis is given by (1/3)ML2.
Determine the radius of gyration kx (in inches) of the homogeneous body (shown in the image below) about the x axis. The specific weight of the material is g = 400 Ib/ft°, the length /= 10 in., and the exponent in the equation a = 1.9. Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point. ya = x Your Answer: Answer
Examples: Moments of inertia of the pendulum about an axis 1) passing through point O, and 2) mass center G of the pendulum. Both rods OA and BC are uniform. Rod OA weighs 10 lb, and BC weighs 8 lb. B A y 2 ft 1 ft1 ft C
Use the given values in problem to answer the following: Find the moment of inertia and radius of gyration of the section of this bar about an axis parallel to x-axis going through the center of gravity of the bar. The bar is symmetrical about the axis parallel to y-axis and going through the center of gravity of the bar and about the axis parallel to z-axis and going through the center of gravity of the bar. The dimensions of the section are: l=51 mm, h=29 mm The triangle: hT=15 mm, lT=18 mm and the 2 circles: diameter=7.4 mm, hC=8 mm, dC=7 mm. A is the origin of the referential axis. Provide an organized table and explain all your steps to find the moment of inertia and radius of gyration about an axis parallel to x-axis and going through the center of gravity of the bar. Does the radius of gyration make sense? In the box below enter the y position of the center of gravity of the bar in mm with one decimal.
The rigid body of the figure rotates freely around the pivot in A. If the body is released from the rest in the displayed position, determine: a) What is the moment of inertia of the body around the axis of rotation in A? b) Where is the center of mass located? Provide a drawing with the dimensions. c) Perform the respective analysis and complete the following table It can be assumed that the body consists of two equal thin rods with a mass of 5 kg and an L length of 1.3 m each. Please attach the free body diagram if necessary
A shaft has three eccentric of mass 1 kg each. The central plane of the eccentrics is 50 mm apart. The distances of the centers from the axis of rotation are 20, 30 and 20 mm and their angular positions are 120 apart. If the shaft is balanced by adding two masses at a radius of 70 mm and at a distance 100 mm from the central plane of the middle eccentric, find the amount of the masses and their angular positions.
Match the most appropriate form of the equation for the moment of inertia to the image shown. All objects are rotating about point O. Note: ris distance, m is a mass, k is a radius of gyration and d is a distance from the mass moment of inertia IG about the center of mass A. D. O M X Mass element Z Rotation axis X A.1=1+md² G B. = SM √² r²dm C.I=mk²_ D.1= Σm,r?