Two steel balls, each of mass m, are welded to a light rod of length L and negligible mass and are initially at rest on a smooth horizontal surface. A horizon- tal force of magnitude F is suddenly applied to the rod as shown. Determine (a) the instantaneous ac- celeration a of the mass center G and (b) the corre- sponding rate ö at which the angular velocity of the assembly about G is changing with time.

Two steel balls, each of mass m, are welded to a light rod of length L and negligible mass and are initially at rest on a smooth horizontal surface. A horizon- tal force of magnitude F is suddenly applied to the rod as shown. Determine (a) the instantaneous ac- celeration a of the mass center G and (b) the corre- sponding rate ö at which the angular velocity of the assembly about G is changing with time.

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

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.
The radius of the flywheel given in the figure is 600 mm. Its mass is 144The radius of rotation (inertia) of the flywheel, which is kg, is 450 mm. to a mass of 18 kgObject A is suspended from a rope wrapped around the flywheel. system is stagnantbeing released in the (still) state. Object A 1.8 meters downFind the acceleration and velocity of the block when it moves straight.
An elongated rod of mass 4-kg has a mass of 2-kg at point A to a block moving vertically, 4-kg at point B pinned to a massive disk. The disc rotates without rolling, It is assumed that the block also moves in a frictionless channel. Please pay. The mechanism is released when stationary at θ=60º. Find the angular velocity of the rod when θ=0º.
A disk with radius R and mass m begins from rest and then moves without slipping while being pulled horizontall by a force P acting at its center axle. Show that the velocity of the wheel after T seconds is v= 2PT/3m. (Hint: use both linear and angular-impulse principles.) m REG P ¹The radius of gyration has units of length and is related to the inertia by k = IG/m. It corresponds to the distance at which a mass equivalent to the mass of the rigid body would produce the same inertia as the actual rigid body. Recall that the inertia of a particle of mass m at a distance r from an axis of ortation is mr². Rather that using r the convention is to define the radus of gyration with the symbol k.
A round object of mass M and radius R roll down a hill of height h. Calculate the linear speed of the object (in terms of M, g, R, and h) when it reaches the bottom of the hill.
A 10 kg disc is acted upon an external force and a couple as found in the figure. The Disc was initially at rest. Assume that the mass moment of inertia of the disc is 0.25 kg.m² R = 0.5 m Horizontal Reaction force at O after 2 seconds. (N) Determine the angular velocity of the disc after 2 seconds (rad/s) (CW) Vertical Reaction force at O after 2 seconds. (N) M = 20 N.m F = 200 N Choose... Choose... # Choose O
A thin, light string is wrappedaround the outer rim of a uniform hollowcylinder of mass 4.75 kg having innerand outer radii as shown in Fig..The cylinder is then released from rest.(a) How far must the cylinder fall beforeits center is moving at 6.66 m/s? (b) Ifyou just dropped this cylinder withoutany string, how fast would its center bemoving when it had fallen the distancein part (a)? (c) Why do you get twodifferentanswers when the cylinderfalls the same distance in both cases?
Part A The 100-kg spool is resting on the inclined surface for which the coefficient of kinetic friction is uz = 0.12. The radius of gyration about the mass center is kg = 0.25 m (Figure 1) Determine the angular velocity of the spool, measured clockwise, when t = 6 s after it is released from rest. Express your answer using three significant figures. Enter positive value if the angular velocity is clockwise and negative value if the angular velocity is counterclockwise. VO A£¢ !f vec ? W = rad/s Figure 1 of 1 > Submit Request Answer Provide Feedback Next > 0.4 m 0.2 m 30°
3.4 Find the flow rate of water through the system shown for the turbine to produce 20 kW. Neglect friction in your calculations
A homogeneous rad of mass M = 11 kg and length L = 12 m spins around its center of mass with an angular speed w = 12 radian/s on a horizontal frictionless surface of a table. The location of the center of mass of the rod on the table is stationary although the center of mass is not pivoted to the table. As the rod spins, a point-like particle of mass m = 2 kg is placed at rest on the table as shown in the figure and the end of the rod collides elastically with it. After the collision, the rod has only a translational motion, and no rotational motion. What is the speed v of the rod, in units of m/s, after the collision? (Suggestion: You may use conservation of linear momentum and conservation of angular momentum (about the fixed point on the table where the center of mass of the rod was initially spinning on.) (The moment of inertia of the rod about the axis through the center of mass I = 1 ML?) O 24.00 6.00 O 30.00 O 12.00 O 36.00
The space capsule has no angular velocity when the jet at A is activated for 1 s in a direction parallel to the axis. Knowing that the capsule has a mass of 1000 kg, that its radii of gyration are Kz=Ky =1.00m and Kz=1.25m A produces a thrust of 50 N, determine the axis of precession and the rates of precession and spin after the jet has stopped.
The arms of a Porter governor are 225 mm long. The upper and lower arms are pivoted to links of 35 mm and 45 mm respectively from the axis of rotation. Each ball has a mass of 4 kg and the sleeve mass is 35 kg. The force of friction on the sleeve of the mechanism is 44 N. Determine the range of speed of the governor for extreme radii of rotation of 115 mm and 145 mm.