*15-100. Each ball has a negligible size and a mass of10 kg and is attached to the end of a rod whose massmay be neglected. If the rod is subjected to a torqueM = (f + 2) N•m, where t is in seconds, determine thespeed of each ball when t=3 s. Each ball has a speed v=2m/s when t=0.M = (* + 2) N - m0.5 m

Given data: The initial speed, v1 = 2 m/s. The mass of each ball, m = 10 kg.

Answered: *15-100. Each ball has a negligible…

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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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 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.
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.
19-26 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 of = 110 mm. if the block at A has a mass of 40 kg and the container at B has a mass of 85 kg, including its contents, determine the speed of the container when t = 3s after it is released from rest.
17-74 The two blocks A and B have a mass Ma and Mb, respectively, where Ma > Mb. If the pulley can be treated as a disk of mass M, determine the acceleration of block A. Neglect the mass of the cord and any slipping on the pulley.
14-59 The material hoist and the load have a total mass of 800 kg and the counterweight C has a mass of 150 kg. At a given instant, the hoist has an upward velocity of 2 m/s and an acceleration of 1.5 m/s2. Determine the power generated by the motor M at this instant if it operated with an efficiency of 0.8
The smooth surface of the vertical cam is defined in part by the curve r =(0.2 cos θ + 0.3) m. The forked rod is rotating with an angular acceleration of 2rad/s^2, and when θ = 45° the angular velocity is 6 rad/s. Determine the force the camand the rod exert on the 2-kg roller at this instant. The attached spring has a stiffnessk = 100 N/m and an unstretched length of 0.1 m.
The wheel has a mass of 100 kg and a radius of gyration of kO = 0.2 m. A motor supplies a torque M = (40u + 900) N #m, where u is in radians, about the drive shaft at O. Determine the speed of the loading car, which has a mass of 300 kg, after it travels s = 4 m. Initially the car is at rest when s = 0 and u = 0°. Neglect the mass of the attached cable and the mass of the car’s wheels
The semicircular bar is smooth. The unstretched length of the spring is 0.250 m. The 6-N collarat A is given a downward velocity of 4 m/s, and when it reaches B the magnitude of its velocity is 12 m/s.Determine the spring constant k.
The spring-held follower AB has a mass of 0.4 kg and moves back and forth as its end rolls on the contoured surface of the cam, where r = 0.15 m and z=(0.02cos2θ)m. The cam is rotating at a constant rate of 30 rad/s. The spring is uncompressed when θ = 90. Determine the maximum force component FzFz the follower exerts on the cam. Determine the minimum force component FzFz the follower exerts on the cam.
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.
15-23. The motor exerts a force F on the 40-kg crate a shown in the graph. Determine the speed of the crate when t= 3 s and when t = 6 s. When t = 0, the rate is moving downward at 10 m/s

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