14-41. A 2-lb block rests on the smooth semicylindricalsurface. An elastic cord having a stiffness k = 2 lb/ft isattached to the block at B and to the base of thesemicylinder at point C. If the block is released from rest atA (0 = 0°), determine the unstretched length of the cord sothe block begins to leave the semicylinder at the instant0 = 45°. Neglect the size of the block.k = 2 lb/ft1.5 fí

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Answered: 14-41. A 2-lb block rests on the smooth…

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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14–35. A 1-kg block rests on the smooth semicylindrical surface. An elastic cord having a stiffness k = 30 N/m is attached to the block at B and to the base of the semicylinder at point C. If the block is released from rest at A(0 = 0°), determine the unstretched length of the cord so that the block begins to leave the semicylinder at the instant 0 = 45°. Neglect the size of the block. k=30 N/m 0.45 m 0 B A
The e wheel has a mass of 100 kg and a radius of gyration of ko = 0.2 m. A motor supplies a torque M = (400 + 900) N/m, where 0 is in radians, about the drive shaft at O. Determine the total work done on the system (in kJ) after the loading car travels s = 2.0 m. The mass of the car is 280 kg and initially it is at rest when s = 0 and 0 = 0°. Neglect the mass of the attached cable and the mass of the car's wheels. 30° M 0.3 m
*13-100. For a short time, the 250-kg roller-coaster car with passengers is traveling along the spiral track at a constant speed of v= 8 m/s. If the track descends d = 12 m for every full revolution, 0 = 27 rad, determine the magnitudes of the components of force which the track exerts on the car in the r.0, and z directions. Neglect the size of the car. 13-101. For a short time, the 250-kg roller-coaster car with passengers is traveling along the spiral track at a constant speed such that its position measured from the top of the track has components r=10m, 0=(0.2t) rad, and z=(-0.3t) m, where t is in seconds. Determine the magnitudes of the components of force which the track exerts on the car in the r, 0, and z directions at the instant t = 2 s. Neglect the size of the car. r = 10 m on Why d
4 m M = (30t²) N•m F = 15t N. If the rod of negligible mass is subjected to a couple moment of M=29t2 N;M where t is the time in seconds, and the engine of the car supplies a braking force F= 15t N to the wheels, determine the speed of the car at t= 8s. The car at t=0s a a speed of 7 m/s. The total mass of the car and the driver is 158 kg. Neglect the size of the car.
The 2-1b collar is released from rest at A and slides down along the smooth rod as shown in (Figure 1). Figure 2 ft 1 of 1 Part A If the attached spring has a stiffness 4 lb/ft, determine its unstretched length so that it does not allow the collar to leave contact with the top surface of the rod until 0 = 60°. Express your answer in feet to three significant figures. [ΨΕ ΑΣΦ1 lo = Submit Provide Feedback Request Answer vec ? ft
15-51. The 30-Mg freight car A and 15-Mg freight car B are moving towards each other with the velocities shown. Determine the maximum compression of the spring mounted on car A. Neglect rolling resistance
Problem 14-70 Determine the smallest amount the spring at B must be compressed against the block ofmass M so that when it is released from B it slides along the smooth surface and reachespoint A. Given: M = 0.5kg b = 1 m k = 2000 en = 9.81-
The two wheels of the vehicle are connected by a 19-kg link AB with center of mass at G. The link is pinned to the wheel at B, and the pin at A fits into a smooth horizontal slot in the link. If the vehicle has a constant speed of 4.8 m/s, determine the magnitude of the force supported by the pin at B for the position 8 = 33°. 0.6 m 0.4 m Answer: B = i G BY 0.97 m 0.79 m MA 0.4 m 0.6 m N
The uniform slender bar has a mass of 7 kg. If the spring is unstretched when Ⓒ = 0º, determine the magnitude of the reaction force exerted on the bar by pin A when = 45°, if at this instant w = 7 rad/s. The spring stiffness is k = 150 N/m. A 800 mm k = 150 N/m B
-y = 45 - hft k lblft www Ift The 5-lb collar has a speed of 3 ft.s1 at A. The attached spring has an unstretched length of 2- ft and a stiffness of k=17lb.ft1. If the collar moves over the smooth rod, determine its speed when it reaches point B. The height of A is h=9-ft and B is at l=4-ft from the vertical of A
*17-40. The smooth 180-lb pipe has a length of 20 ft and a negligible diameter. It is carried on a truck as shown. Determine the maximum acceleration which the truck can have without causing the normal reaction at A to be zero. Also determine the horizontal and vertical components of force which the truck exerts on the pipe at B. 20 ft 5 ft 12 ft
The 5 kg cylinder is released from rest in the postion shown in the figure below. Determine the maximum compression xmax of the spring. The stiffness of the spring is 1800 N/m.

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