The rod PQ of length L = v2 m and uniformly %3D distributed mass of M = 10 kg, is released from rest at the position shown in the figure. The ends Slide along the frictionless faces OP and OQ. Assume acceleration due to gravity, g = 10 m/s². The mass moment of inertia of the rod about its centre of mass and an axis perpendicular to the plane of the figure is (ML?/12). At this instant, the magnitude of angular acceleration (in radian/s?) of the rod is Vzm 45%

The rod PQ of length L = v2 m and uniformly %3D distributed mass of M = 10 kg, is released from rest at the position shown in the figure. The ends Slide along the frictionless faces OP and OQ. Assume acceleration due to gravity, g = 10 m/s². The mass moment of inertia of the rod about its centre of mass and an axis perpendicular to the plane of the figure is (ML?/12). At this instant, the magnitude of angular acceleration (in radian/s?) of the rod is Vzm 45%

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 uniform slender rod, witha mass of 9.6 kg and a length ofE = 0.76 m, is fixed to a light vertical shaft at 0. The shaft can rotate freely in the stationary socket on the floor. A constant moment of M 11.8 N m is applied to the shaft, as indicated. What is the magnitude of the angular acceleration (in rad/s) of the rod? The rod moves in a horizontal plane.
if mass (m)=345kg radius of gyration kG = 0.54 m θ= 200 degree Tmin=1523 N assuming no slipping 1) Find aG, α, the value of the friction force (f) and the normal reaction force on the spool by the ground if T = 0.5 Tmin.
A uniform rod of mass M = 2.3 kg and length L = 0.2 m, lying on a frictionless horizontal plane, is free to pivot about a vertical axis through one end, as shown. The moment of inertia of the rod about this axis is given by 1/3 ML2. If a force F = 7 N, q = 47° acts as shown, what is the resulting angular acceleration (in rad/s2) about the pivot point?
Consider a hollow clay cylinder, which has a moment of inertia 87 kg-m2. The cylinder is free to rotate frictionless-ly, and it starts from rest. It rotate about a fixed axis through its center. Let's assume that we apply a tangential force to the end of the cylinder (the flat face of the shape) with a magnitude which can range from F = 0 to F = 61 N. The force can be applied at any distance from the axis of the cylinder ranging from R=0 to R=4 m from the axis of rotation. (a) Find a pair of values of F and R that cause the disk to complete 2.00 rev in 10.0 s. (b) Is your answer for the previos part unique? How many answers exist?
A ring of mass m =1 kg and radius R = 1m is attached to a vertical shaft by means of a frictionless pin. Coordinates xyz are fixed to the ring as shown and the frictionless pin at A is aligned with the x-axis. The vertical shaft precesses about the Z-axis with constant angular velocity 2 = 1 rad/s. (a) At a particular moment when 0 = 30° and = 4 rad/s, find the value of Ö . This comes from a sum of the moments about the x-axis. Do not neglect gravity. (b) Find the torque or moment necessary that must be applied about the vertical shaft in order to keep it turning at a constant rate of N = 1 rad/s. Ring R XG A 1 Ixx = lyy =mR? G Iz = mR?
Consider the system of two blocks. Thereis no friction between block A and the tabletop. The mass of block B is5.00 kg. The pulley rotates about a frictionless axle, and the light ropedoesn’t slip on the pulley surface. The pulley has radius 0.200 m andmoment of inertia 1.30 kg . m2. If the pulley is rotating with an angularspeed of 8.00 rad/s after the block has descended 1.20 m, what is themass of block A?
Gravitational acceleration g = 10 m/s? 1. A uniform thin rod of length Im and mass m,od = 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? 30 cm
The propeller shaft of an aero-engine is supported on two bearings, which are 0.8 m distance a part and the shaft is rotating at 2500 r.p.m. If the radius of gyration of the propeller is 0.6 m, find the extra pressure on the bearings, when the aeroplane is whirling round in a horizontal circle of 250 m radius at a speed of 250kilometers per hour. Take the weight of the propeller as 500 N.
A solid homogeneous cylinder of radius r = 0.5m and mass of m = 100kg is rolled up a 0 20° incline by a force of P = 350N starting from rest. Compute the velocity vG of the center of mass of the cylinder into 6 seconds of motion. Note: Mass moment of inertia about G is given as IG = (1/2)mr². W,a v,a G m Your answer: 32.2 m/s 80.6 m/s 364.5 m/s 9.5 m/s 444.5 m/s 73.0 m/s
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.
A stepped cylinder has the dimensions R₁ = 0.30 m, R₂ = 0.65 m, and the radius of gyration, k, is 0.35 m. The mass of the stepped cylinder is 100 kg. Weights A and B are connected to the cylinder. If weight B has a mass of 80 kg, and weight A has a mass of 50 kg, how far does A move in 5 seconds? In which direction does it move? (Draw all FBDs)
A weight with mass mw=150 g is tied to a piece of thread wrapped around a spool, which is suspended in such a way that it can rotate freely. When the weight is released, it accelerates toward the floor as the thread unwinds. Assume that the spool can be treated as a uniform solid cylinder of radius R=4.00 cm and mass Ms=200 g. Find the magnitude ?a of the acceleration of the weight as it descends. Assume the thread has negligible mass and does not slip or stretch as it unwinds. Use ?=9.81 m/s2. Find the tension T in the thread.