18-2. The wheel is made from a 5-kg thin ring and two2-kg slender rods. If the torsional spring attached to thewheel's center has a stiffness k = 2 N- m/rad, and the wheelis rotated until the torque M = 25 N •m is developed,determine the maximum angular velocity of the wheel if itis released from rest.0.5 mм

Given data: Mass of the ring, mr = 5 kg. Mass of the slender rod, ms = 2 kg. The radius of the…

Answered: 18-2. The wheel is made from a 5-kg…

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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18-19 The 30 kg disk is originally at rest, and spring is unstretched. A couple moment M= 80 Nm is then applied to the disk as shown. Determine how far the center of mass of the disk travels along the plane before it momentarily stops. The disk rolls without slipping.
The 75 kg wheel has a radius of gyration about its mass centreof kG=400mm. If it is subjected to a torque of M=150 N.m,determine:a. The angular acceleration of the wheel,b. The linear acceleration of the mass centrec. The created frictional force at the point of contact.The coefficient of static friction between the wheel and theground is S=0.3.Hint: Assume no slipping occurs at star, and verify I at the end.
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.
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.
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
The trailer with its load has a mass of 200 kg and a center of mass at G. If it is subjected to a horizontal force of P = 1000 N, determine the trailer’s acceleration and the normal force on the pair of wheels at A and at B. The wheels are free to roll and have negligible mass.
17-31 The 150 kg uniform crate rests on the 10 kg cart. Determine the maximum force P that can be applied to the handle without causing the crate to tip on the cart. Slipping does not occur.
The spring-held follower AB has a mass of 0.5 kg and moves back andforth as its end rolls on the contoured surface of the cam, where r = 0.15 m and z =(0.02 cos 2θ) m. If the cam is rotating at a constant rate of 30 rad/s, determine theforce component Fz at the end A of the follower when θ = 30°. The spring isuncompressed when θ = 90°. Neglect friction at the bearing C.
17-47 The four-wheeler has a weight of 335 Ib and a center of gravity at G1, whereas the rider has a weight of 150 lb and a center of gravity at Gz. If the engine can develop enough torque to cause the rear wheels to slip, determine the largest coefficient of static friction between the rear wheels and the ground so that the vehicle will accelerate without tipping over. What is this maximum acceleration? In order to increase the acceleration, should the rider crouch down or sit up straight from the position shown? Explain. The front wheels are free to roll. Neglect the mass of the wheels in the
The automobile has a mass of 2 Mg and center of mass at G. Determine the towing force F required to move the car if the back brakes are locked and the front wheels are free to roll. Take us=0.3.
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 double pulley consists of two wheels which are attached to one another and turn at the same rate. The pulley has a mass of 15 kg and a radius of gyration kO=110mm. If the block at A has a mass of 40 kg, determine the speed of the block in 3 s after a constant force F=2kN is applied to the rope wrapped around the inner hub of the pulley. The block is originally at rest. Neglect the mass of the rope.

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