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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18-37 The spool has a mass of 20 kg and a radius of gyration of = 160 mm. if the 15 kg block A is released from rest, determine the velocity of the block when it descends 600 mm.
18-54 The slender 6 kg bar AB is horizontal and at rest and the spring is unstretched. Determine the stiffness K of the spring so that the motion of the bar is momentarily stopped when it has rotated clock wise after being released.
The platform AB when empty has a mass of 400 kg centre of mass at G1 and natural period of oscillation t1=3.82 s. If a car, having a mass of 1.2 Mg and centre of mass at G2 is placed on the platform, the natural period of oscillation becomes t1=4.58 s. Determine the moment of inertia of the car about an axis passing through G2.
18-9 The pendulum consists of a 10 kg uniform disk and a 3 kg uniform slender rod. If it is released from rest in the position shown, determine its angular from velocity when it rotates clock wise .
17-59 The uniform slender rod has a mass m. If it is released from rest when = 0, determine the magnitude of the reactive force exerted on it by pin B when = 90.
The system is at rest with the sprng unstretched when theta = 0. The 5.3 kg uniform slender bar is then given a slight clockwise nudge. The value of b is 0.45 m. If the bar comes to momentary rest when theta = 58, determine the spring constat k. For the value k = 65N/m, find the magnitude of the angular velocity of the bar when theta = 38
If both springs are usntretched when the mass is in the central position shown, determine the static deflection of the mass. What is the period of oscillatory motion about the position of static equilibrium? The mass m = 3.4, the spring constant k = 295 N/m, and the angle theta = 31 degrees
The dynamic system is initially at rest. The rod has a mass of m=0.5kg and a length of L=1m. The CG of the rod is located at G, and the rod is rotated about the point O, a distance, h=0.25m, away from point G. At the time of releasing find a. Acceleration at the CG (point G) b. Reaction at O (Use moment of inertia of the rod I= mL2/12)
17-35. The sports car has a mass of 1.5 Mg and a center of mass at G. Determine the shortest time it takes for it to reach a speed of 80 km/h, starting from rest, if the engine only drives the rear wheels, whereas the front wheels are free rolling. The coefficient of static friction between the wheels and the road is u, = 0.2. Neglect the mass of the wheels for the calculation. If driving power could be supplied to all four wheels, what would be the shortest time for the car to reach a speed of 80 km/h? G 0.35 m A -1.25 m-- -0.75 m
A spring has a stiffness of 600 N/m, if a 4 kg block is attached to the spring, pushed 500 mm above its equilibrium position, and released from rest; determine the angular frequency. Assume the positive displacement is measured downward
The rod AB has a mass of 20 kg，the mass of the piston A and B are both 5kg. Piston B is attached to a spring of constant k = 1200 N/m. The spring is un-stretched when θ = 0. If the rod is released from rest whenθ = 45° Please find÷ (1) the moment inertia of the rod AB about its mass center G (2)The angular velocity of rod AB at θ = 0° (3）the velocity of piston A at θ = 0° (4) the velocity of Piston B at θ = 0° (hint: regard the piston A, B, rod as a system, during the motion, except the spring, the weight of rod AB, the weight of pistonB also does work). g = 9.8 m/s2
The 3.8 kg block is descending at a rate of 1.2 m/s when the hydraulic cylinder BC exerts a force F=500 N on the brake arm. Determine the number of radians the wheel will rotate before the system comes to rest. The wheel has a mass of 25 kg and a radius of gyration about its center kO=300 mm. The coefficient of kinetic friction between the brake arm and the wheel is 0.25.

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