A thin rod AD is mounted with bearings on either side to allow the system to spin. Two small rods are welded onto A B, each of length 67 mm and mass 200 g. A couple 5 N-m is applied to the rod. Determine the reaction at the mounting point D when the angular velocity is 1200 rpm. To simplify the problem, let's assume the moment of inertia from the rod AD can be neglected. 67mm 100mm 100mm 67mm B D. M 200mm NX

A thin rod AD is mounted with bearings on either side to allow the system to spin. Two small rods are welded onto A B, each of length 67 mm and mass 200 g. A couple 5 N-m is applied to the rod. Determine the reaction at the mounting point D when the angular velocity is 1200 rpm. To simplify the problem, let's assume the moment of inertia from the rod AD can be neglected. 67mm 100mm 100mm 67mm B D. M 200mm NX

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

(3) The 12-lb lever OA with 10-in. radius of gyration about point O is initially at rest in the vertical position (8 = 90°), where the attached spring of stiffness k= 3 lb/in is unstretched. Calculate the constant moment M applied to the lever at O which will give the lever an angular velocity o = 4 rad/sec as the lever rotates to the horizontal position at 0 = 0. k = 3 lb/in. wwww 15 15
A vertical open-belt drive connects two pullets A and B the centres of which are 4 m a part. The belt has a mass of 1.15kg/m. Pulley A is 1m diameter, has radius of gyration of 420mm and a mass of 25kg. Pulley B is 0.5m diameter has radius of gyration of 225mm, and a mass of 18kg. when at rest the tension in the belt is 700N. Assuming that the belt obeys Hooke's law, If power of 1.5kW is being transmitted, and the speed of A being 180r.p.m. Neglect belt stretch over the pulleys. Determine: 1. The tension in the two portion of the belt between the pulleys and, 2. The kinetic energy of the belt and pulleys under this conditions.
cable is wrapped around the spool’s center hub. The mass of the spool is m= 100 kg, the radius r1 = 0.4 m, r2 =0.6 m, and the radius of gyration is kG = 0.3 m. A horizontal force P = 10 N is applied to the cord. The spool is initially at rest and rolls without slipping. (2) The mass moment of inertia of the spool about point A _______(kg·m2)(two decimal places)
Problem 4. A thin, semi-circular ring of mass m and radius R is pinned to ground at point O. The bar is released from rest in the position shown. Note that a = 2R, IG = mR² - ma² (a) Find the mass moment of inertia of the body about point O (b) Find the angular acceleration of the ring when released (c) Find the reaction forces on the ring at point O Ans: (b) a=0.5(g/R); (c) Ox = (mga)/(2R), Oy = mg/2 6.0 g G a -R-
2 An object is made of two identical uniform 3m long rods connected as shown. The total mass of the system is 60kg. The object can rotate in the plane of the page about a fixed axis at Point A. There is a friction moment of 500 N m about point A. a. What is the mass moment of inertia of the object about Point A? b. If the object is released from rest in the orientation shown, what will be is initial angular acceleration? stationary Mf A = total mass= 60 kg 500 Nm 3 m 3 m g
The pendulum consists of a uniform slender rod and a solid cylinder. The centre of gravity G of the pendulum is a distance L from the pin connection O. The radius of gyration of the pendulum about G is kG. The pendulum is displaced a small distance from its equilibrium position and then released. Take L=2.521 m (a) Give the differential equation that describes the motion by filling in the coefficient of θ (with at least 4 significant figures): the above equation is in one of the images. (b) What is the natural period of vibration of the pendulum (with at least 4 significant figures):
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?
A cable is wrapped around the spool’s center hub. The mass of the spool is m= 100 kg, the radius r1 = 0.4 m, r2 =0.6 m, and the radius of gyration is kG = 0.3 m. A horizontal force P = 10 N is applied to the cord. The spool is initially at rest and rolls without slipping. (2) The mass moment of inertia about point A _______(kg·m2)(two decimal places)
Consider the system formed by the tapered-type flywheel and the 100-kg block shown in the figure below. The block is suspended from an inextensible cord that is wrapped around a pulley of 300-mm radius rigidly attached to the flywheel. The pulley and the flywheel have a combined mass moment of inertia about its center of IT= 0.45 kg. m2. At the instant shown, the velocity of the block is 2 m/s directed downward. If the bearing at O is poorly lubricated and that the bearing friction is equivalent to a couple moment M of magnitude 80 N.m, determine the velocity of the block after it has moved 1 mdownward. Include FBD
HW1 A uniform disc of 220 mm diameter has a mass of 3.5 kg. It is mounted centrally in bearings which maintain its axle in a horizontal plane. The disc spins about its axle with a constant speed of 750r.p.m. while the axle precesses uniformly about the vertical at 25 r.p.m. The directions of rotation are as shown in figure below. If the distance between the bearings is 200 mm, find the resultant reaction at each bearing due to the mass and gyroscopic effects. +X +2
6. The uniform ring of mass m = 10 kg and radius r= 0.5 m is hinged at O and can rotate freely in the vertical plane. If the ring is released with a clockwise angular velocity o = 4 rad/s from the position shown where OC is horizontal, determine the magnitude of the reaction at pin O the instant the disk is released. to
Consider a steel plate of mass m with dimensions L and w that is equally supported by two ball bearings (one on each end of the shaft shown at pointa A and B). At the instant shown below, the plate is released from rest. Part A: Determine an expression for the plate's angular acceleration magnitude a at this in- stant. (Hint: Use Euler's 2nd Law for pinned rotation and the parallel axis theorem.) Part B: Show that the magnitude of the reaction force at each bearing at this instant is R = mg/8. (Hint: Use the kinematics to relate the acceleration of the center of mass G to the angular acceleration. Use Euler's 1st Law to find the reaction forces with the acceleration you determined. As viewed from the side there are two forces acting on the system weight and two reaction forces both pointing upward at the same location.) A foye مر B L २