Gravitational acceleration g = 10 m/s² 1. A uniform thin rod of length 1m and mass mod = 20 Kg in the figure can rotate freely in the plane about an axis at 30 cm from one of its ends while the other end attached with a disk of radius 10 cm and mass maisk = 10 Kg. As the rod swings from the angle 30°. a. Find the position center of mass. b. Calculate the moment of inertia for the composed system. c. What is the velocity of the disk while reaching an equilibrium point? %3D

Gravitational acceleration g = 10 m/s² 1. A uniform thin rod of length 1m and mass mod = 20 Kg in the figure can rotate freely in the plane about an axis at 30 cm from one of its ends while the other end attached with a disk of radius 10 cm and mass maisk = 10 Kg. As the rod swings from the angle 30°. a. Find the position center of mass. b. Calculate the moment of inertia for the composed system. c. What is the velocity of the disk while reaching an equilibrium point? %3D

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 car is moving on a curved horizontal road of radius 100 m with a speed of 20 m/s. The rotating masses of the engine have an angular speed of 100 rad/s in clockwise direction when viewed from the front of the car The combined moment of inertia of the rotating masses is 10 kg-m².what is the magnitude of the gyroscopic moment in (N-m)?
| Link BC has a mass mgc = 4 kg, with a moment of inertia about its mass center of: laac = maclic Link AB has a mass mAR = 2.4 kg, with a moment of inertia about point A of: The wheel at point C is of negligible mass. At the moment pictured below, the velocity of point C is 1.5 m/s to the right. Find the velocity of pin B after link AB has rotated through 90°.
The pendulum shown in the image below can rotate about the axisperpendicular to page and pass through point O. The solid rod hasa mass m=6 kg and the solid sphere diameter of 50 mm has a massof 1.5m(kg). Calculate the mass moment of inertia of the rod andthe sphere at 0° when the axis is perpendicular to the page andpass through the centre of gravity. (l= 800 mm; k= 600 mm)
Slender rod with mass of 2 kg. and cicular plate with mass of 4 kg. FIND, the pendulum radius of gyration about an axis perpendicular to the screen passing through point O
5kg plate, and 3 kg slender rod. FIND, the radius of gyration of the pendulum about an axis perpendicular to the screen and passing through the point G.
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
The moment of inertia of an aeroplane air screw is 20 kg - m ^ 2 and the speed of rotation is 1000 r.p.m clockwise when viewed from the front. The speed of the flight is 200 km per hour. Find the gyroscopic reaction of the air screw on the aeroplane when it makes a left-handed turn on a path of 150 m radius.
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 work done by spring is The work done by weight is Polar moment of inertia about B is angular velocity at position 2
A wheel is attached by a cable to a block The wheel has a radius of 2ft and weighs 300lbs, the block weights 20lbs. If the radius of gyration about the point of rotation of the disk is 1.5ft, how many revolutions will it take for the wheel to come to a stop assuming it was moving at 10 rad/s CW. Assume the block is on the left side of the wheel and thus causes a CCW moment.
4. The composite body shown below is formed by a combination of a thin rod and a thin, circular disk. The mass of the rod is 2 kg, and the mass of the disk is 4 kg. a. Calculate the total mass of the body. b. Calculate the center of mass of the body measured from Point O. c. Calculate the moment of inertia of the body about an axis into the plane of the page and passing through Point O. €+++++ 2 m 1 m 1 Y X
The mass of flywheel of an engine is 8 tonnes and the radius of gyration is 1.8 metres. It is found from the turning moment diagram that the fluctuation of energy is 100 kN-m. If the mean speed of the engine is 150 r.p.m., find the maximum and minimum speeds.