Find moment of inertia A rigid body shown in the fig. (a) has a mass of10 kg. It rotates with a uniform angular velocity w.A balancing mass of 20 kg is attached as shownin fig. (b). The percentage increase in massmoment of inertia as a result of this addition is10 kg10 kg20 kgFig. (a)Fig. (b)

Given data; A rigid body having mass (m) =10 kg Balancing mass (M) =20 kg therefore ,acc. to fig the…

Answered: nd moment of inertia

Engineering

Mechanical Engineering

nd moment of inertia

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

The total mass of the Baja car and driver, including the wheels, is 250 kg. Each pair of 58-cm radius wheels and the axle has a total mass of 20 kg and a mass moment of inertia of 2.9 kg·m2 . The center of gravity of the driver and Baja body (not including the wheels) is located x = 0.70 m from the rear axle A and y = 0.55 m from the ground. The wheelbase is L = 1.60 m. If the engine exerts a torque of 500 N·m on the rear axle, what is the car’s acceleration?
A yoyo is constructed by attaching three uniform, solid disks along their central axes as shown. The two outer disks are identical, each with mass M = 58 g, radius R = 3.3 cm, and moment of inertia 1/2MR2. The central, smaller disk has mass M/2 and radius R/2. A light, flexible string of negligible mass is wrapped counterclockwise around the central disk of the yoyo. The yoyo is then placed on a horizontal tabletop and the string is gently pulled with a constant force F = 0.25 N. The tension in the string is not sufficient to cause the yoyo to leave the tabletop. In this problem consider the two cases show. In Case 1 the string is pulled straight up, perpendicular to the tabletop. In Case 2 the string is pulled horizontally, parallel to the tabletop. In both cases the yoyo rolls without slipping. In both the cases shown what is the magnitude of the tourqe t excerted by the string about the contact point of the yo-yo wiith the table in N*m. What is the moment of intertia of the yo-yo…
A 7.5-kg disk A radius 0.6 m initially rotating clockwise at 300 rev/min is engaged with an 8.5-kg disk B radius 0.4 m initially rotating counter-clockwise at 700 rev/min, where the moment of inertia of a disk is given as I=1/2mr^2. Determine their combined angular speed (in rpm) and direction of rotation after the meshing of the two disk.
A 1.6-kg tube AB can slide freely on rod DE which in turn can rotate freely in a horizontal plane. Initially the assembly is rotating with an angular velocity of magnitude w = 5 rad/s and the tube is held in position by a cord. The moment of inertia of the rod and bracket about the vertical axis of rotation is 0.30 kg.m2 and the centroidal moment of inertia of the tube about a vertical axis is 0.0025 kg.m2If the cord suddenly breaks, determine (a) the angular velocity of the assembly after the tube has moved to end E, (b) the energy lost during the plastic impact at E.
A flywheel connected to a punching machine has to supply energy of 400 Nm while running at a mean angular speed of 20 radians/s. If the total fluctuation of speed is not to exceed ±2%, the mass moment of inertia of the flywheel in kg – m2 is
A massive sphere, with 10,0cm radius and moment of inertia I=4,00 x 10-3 kg-m² in relation to a straight line passing through the center of mass, rolls without sliding, descending a surface with an inclination of 30º in relation to the horizontal. In a certain initial position the total kinetic energy of the sphere is 17.5j . a Sketch the physical situation by identifying all the forces acting on the sphere in the initial position. (b) How much of this initial kinetic energy is due to rotation? (c)
A cylinder with rotational inertia 0.050 kg m2 is spinning with angular velocity 25 rad/s, clockwise with negligible friction about a vertical axis. A second cylinder that is not spinning is centered above and dropped onto the spinning cylinder. Kinetic friction produces torque of amount 0.60 Nm that affects both objects until the two cylinders spin together at angular velocity 18 rad/s, clockwise. (a) Determine the amount of time it takes for friction to cause the two objects to spin together.(b) Determine the rotational inertia of the second cylinder that was dropped onto the first.(c) Determine the total amount of heat and sound energy resulting from the interaction of the cylinders.
A 7.5 kg disk A radius of 0.6 m initially rotating clockwise at 300 rev/min is engaged with an 8.5 kg disk B of radius 0.4 m initially rotating counter clockwise at 700 rev/min, where the moment of inertia of a disk is given as I=1/2mr^2. Determine their combined angular speed (in rpm) and direction after the meshing of the two disks.
Two disks A and B, of mass m 1 kg each and of radius 10 cm, are placed on a horizontal table. The disk A is launched in translation with a speed of 10 m/s along the y axis, B is at rest. The coefficient of kinetic friction between the disks is 0.5. The line of impact is at an angle of 60° with the x-axis. The moment of inertia of each disk around its center of mass is I = 1₂ = 0.005 kg.m². The coefficient of restitution between the two disks is e=0.6. a) Determine the velocities of the centers of the two disks, just after the impact. b) Calculate the angular velocities of the disks, just after the impact. c) Calculate the energy loss during the impact.
Two blocks are attached by strings of negligible mass to a physical pulley with two radii R1=027 m and R2=042 m. The strings are wrapped around their respective radii so that the masses can move either up or down. The pulley has a moment of inertia Ipcm=0249 kgm2, and is supported by a bearing with negligible friction. If block 1 has a mass of m1=4.1 kg, block 2 has a mass of m2=1.14 kg, and the tension in the rope connecting block 1 to the pulley is T1p=31.11 N, what is the magnitude of the angular acceleration of the pulley?
A uniform solid disk of mass 2.0 kg and radius 0.30 m is initially at rest. It is then rotated by a constant torque about an axis through its center of mass until it reached an angular speed of 3.0 rad/s. What is the work done by the constant torque? The moment of inertia through the center of mass is (2/5)MR^2.
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.