17-81. Determine the angular acceleration of the 25-kgdiving board and the horizontal and vertical components ofreaction at the pin A the instant the man jumps off. Assumethat the board is uniform and rigid, and that at the instanthe jumps off the spring is compressed a maximum amountof 200 mm, w = 0, and the board is horizontal. Takek = 7 kN/m.E1.5 m -1.5 m -

Given data: The mass of the board is: m=25 kg The maximum deflection of the spring is: x=200 mm The…

Answered: 17-81. Determine the angular…

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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17-74 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.
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.
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.
17-35. 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 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 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.
17-59 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.
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.
15-102. The two spheres each have a mass of 3 kg and are attached to the rod of negligible mass. Determine the time the torque M = (8t) N·m where, is in seconds, must be applied to the rod so that each sphere attains a speed of 3 m/s starting from rest
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 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.
18-9 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 .

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