A 3 kg disk shown in Figure 3 is pin supported at its center. The disk is rotated from rest and attains a constant angular velocity of 15 rad/s. If the mass of the rope is negligible and the radius of gyration of the drum is 50 mm, calculate: mass - 3 kg r=100 mm B

A 3 kg disk shown in Figure 3 is pin supported at its center. The disk is rotated from rest and attains a constant angular velocity of 15 rad/s. If the mass of the rope is negligible and the radius of gyration of the drum is 50 mm, calculate: mass - 3 kg r=100 mm B

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

1) Three small spheres are rigidly mounted to a horizontal shaft with rotates with angularvelocity omega as shown. Neglect sphere radii, ignore gravity. Spheres have masses m1, m2andm3 as shown.a. What is the angular momentum HO about O the center of the coordinates shown?b. At this instant, what is Ax , the x component of the bearing force at A to offset the dynamicimbalance? Note that you are NOT asked to find any other forces (Ay, Ox, or Oy) in interestof time.
Blocks A and B shown in the figure have masses of 5 kg and 10 kg respectively.If the pulley is treated as a 3 kg solid disk with a 15 cm radius, determine the acceleration of the block A. Disregard the rope mass and any slip on the pulley.Consider that the moment of inertia of the pulley is given by Ip = (1/2)mr² in which m is the mass of the pulley and r is of radius the pulley.
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.
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 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?
A plank with a mass M = 6.00 kg rests on top of two identical, solid, cylindrical rollers that have R = 5.00 cm and m = 2.00 kg. The plank is pulled by a constant horizontal force Fs of magnitude 6.00 N applied to the end of the plank and perpendicular to the axes of the cylinders (which are parallel). The cylinders roll without slipping on a flat surface. There is also no slipping between the cylinders and the plank. a. Find the initial acceleration of the plank at the moment the rollers are equidistant from the ends of the plank. b. Find the acceleration of the rollers at this moment. c. What friction forces are acting at this moment?
a=22mist 16w/ Figure Q) “The mass of ahuckey puck 0.80Kg slides on horizontal, frictionless surface of an ice rink. If two hockey sticks srike the puck simulaneously, exerting the acceleration of the puck shown n figure 2. Determine both the magnitude and the direction of the puck’s forces?
3.32). As shown in Figure 3, a yo-yo toy is formed by wrapping a massless cord around adisk of radius R= 0.2 m and mass M=3 kg. The cord is vertical and its top end is fixed and the disk isinitially stationary. The cord remains vertical for the entire motion and does not slide on the disk.When the disk is released from rest, it falls down by a distance H=0.8 m, The moment of inertia ofthe disk around its center is I disk=1/2mdiskR^2a . Find the angular acceleration of the disk when it is lowered by a distance H.b . Find the angular velocity of the disk when it is lowered by a distance H.
The combined mass of the motorcycle and its rider in Fig. a, and b is 250 kg. The mass center is at C. The wheels are locked when the brakes are applied at high speed. The coefficient of kinetic friction is 0.5, and the angular acceleration is zero. Determine the acceleration a
In a spring controlled governor, mass of each ball of governor is 7 kg and moves radially under the action controlling force E. If the speed range is 420 rpm and 44 rpm with a range of ball path radius r equal to 12.4 cm to 13.2 cm. determine the linear relationship between ball path rudius and controlling force sketch te Grati between F and r. What in the equilibrium speed at r= 12.8 cm?
The slender, homogeneous rod shown in the figure below is 3 m in length and has a mass of 12 kg. At the instant shown, the rod has an angle to the horizontal of 60-degrees and an angular velocity of 2 rad/s clockwise. Both walls are smooth and provide negligible friction. At the instant shown, what are the reaction forces at A and B? What is the angular acceleration of the rod's center of mass?
A motorcycle and rider have a combined mass of 350kg. The each wheel has a mass of 20kg with the diameter of 500 mm. The rider accelerates from 5m/s to 25m/s over a distance of 100m, whilst climbing a hill of slope 1 in 20. Identify the magnitude and effect of gyroscopic reaction torque by calculating the angular velocity and power as the motorcycle ascends the incline when the motorcycle and rider travel at 80 km/h around a left-hand bend of road with the radius 30 m.Explain the effects of energy transfer in mechanical systems (e.g. gears, pulley or flywheel) with uniform acceleration present.