22-57. The electric motor turns an eccentric flywheelwhich is equivalent to an unbalanced 0.25-lb weight located10 in. from the axis of rotation. If the static deflection of thebeam is 1 in. because of the weight of the motor, determinethe angular velocity of the flywheel at which resonance willoccur. The motor weighs 150 lb. Neglect the mass ofthe beam.

Answered: Image /qna-images/answer/c68263e1-ea49-4421-9744-9c9850e40c8e.jpg

Answered: 22-57. The electric motor turns an…

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

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The system shown below consists of a uniform disk D that has a mass of mp = 3.0 kg and a radius of r = 0.5 meters. The disk is connected by a massless cable to a block. The system is released from rest and the disk starts rolling without sliding with the angular acceleration of a = 24 rad in the clockwise direction. Determine the tension developed in the cable (in Newtons) at this instant. Consider 0 = 30° and g 10 * mp
The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration KG=0.4 m. The spring's unstretched length is Lo=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is 8-30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is 8-0°. The spring's length at the state 2 is L2=4 m. (10) The kinetic energy at the state1?__ (N-m) (two decimal places) LLLLLLL L₂ State 2 C State 1
Note that when θ=0, it is initially at rest. Applying moement θ=30: a. Find ω and α b. Find reaction at B What I have so far: FBD w/ tangential and normal ΣFt = ΣFt α= (dω/dt) = (dω/dθ)= (dθ/dt) α= ω(dω/dθ) ∫ωdω = ∫α dθ (solve for ω) ΣM/A = ΣM/A
The 10kg rod has a moment of inertia which is computed from Iç =ml². If it is rotating at w = 2, determine its kinetic energy () when it is computed about the mass center G. u-irade
The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration KG=0.4 m. The spring's unstretched length is Lo=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is 8-30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is 8=0°. The spring's length at the state 2 is L2=4 m. (11) The angular velocity at the state 2?_ _(rad/s) (two decimal places) 111441 L₂ State 2 State 1
*21-40. Derive the scalar form of the rotational equation of motion about the x axis if N + w and the moments and products of inertia of the body are not constant with respect to time.
Example: 18-63. The uniform 80-lb garage door is guided at its ends on the track. If it is released from rest at 0 = 0º, determine the door's angular velocity at the instant = 30°. The spring is originally stretched 1 ft when the door is held open, 0 = 0°. Assume the door can be treated as a thin plate, and there is a spring and pulley system on each of the two sides of the door. Solution: 8 ft A 8 ft B k = 9 lb/ft
The radius of the pulley is of inertia is I = 0.1 kg-m2. R = 100 mm The mass stant is k = 135 N/m. m = 5 kg. and its moment The spring conThe system is released from rest with the spring unstretched. What maximum distance does the mass fall before rebounding?
The following mass-and-spring system has stiffness matrix K. The system is set in motion from rest (x1′(0)=x2′(0)=0)in its equilibrium position (x1'(0)=x2'(0)=0) with the given external forces F1(t)=0and F2(t)=540 cos 4t acting on the masses m1and m2,respectively. Find the resulting motion of the system and describe it as a superposition of oscillations at three different frequencies. m1 m2 k1 k2 k3 x1 x2 K= −k1+k2 k2 k2 −k2+k3 m1=1, m2=2; k1=1, k2=2, k3=2 Find the resulting motion of the system. x1(t) = x2(t) = (Type exact answers, using radicals as needed.)
Which one is correct please?
The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration ke=0.4 m. The spring's unstretched length is Lo=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is 8-30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is 8=0°. The spring's length at the state 2 is L2=4 m. (3) The stretched spring length of the spring at the state 1 is_ places) 2₂ State 2 7717 State 1 _(m) (two decimal
The bus is driven from the flywheel having inertia J = 20 kgm2. How long distance can pass the bus from the energy stored in the flywheel if its angular velocity is ω = 1800 rad/s and the power needed for bus moving with speed v = 30 km/h is 60 kW?.

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