*14-76. The spring has a stiffness k = 50 N/m and anunstretched length of 0.3 m. If it is attached to the 2-kgsmooth collar and the collar is released from rest at A(0 = 0°), determine the speed of the collar when 0 = 60°.The motion occurs in the horizontal plane. Neglect the size%3Dof the collar.2 m-k = 50 N/m

Given Data: The stiffness of the spring is k = 50 N/m. The unstretched length of the spring is t =…

Answered: *14-76. The spring has a stiffness k =…

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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The 12-lb box slides on the surface for which μk = 0.3. The box has a velocity v = 15 ft/s when it is 2 ft from the plate. a) If the box strikes the smooth plate, which has a weight of 22 lb and is held in position by an unstretched spring of stiffness k = 440 lb/ft, determine the maximum compression imparted to the spring. Take e = 0.8 between the box and the plate. Assume that the plate slides smoothly. x = ?
*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
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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.
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
The 20-lb box slides on the surface for which μ = 0.3. The box has a velocity v = 15 ft/s when it is 2 ft from the plate. If it strikes the smooth plate, which has a weight of 10 lb and is held in position by an unstretched spring of stiffness k = 400 lb/ft, determine the maximum compression imparted to the spring. Take e = 0.8 between the box and the plate. Assume that the plate slides smoothly. v = 15 ft/s 2 ft
13-77. The cylindrical plug has a weight of 2 lb and it is free to move within the confines of the smooth pipe. The spring has a stiffness k = 14 lb/ft and when no motion occurs the distance d = 0.5 ft. Determine the force of the spring on the plug when the plug is at rest with respect to the pipe. The plug is traveling with a constant speed of 15 ft/s, which is caused by the rotation of the pipe about the vertical axis. 3 ft k = 14 lb/ft
14-76. The 4-kg smooth collar has a speed of 3 m/ s when it is at s = 0. Determine the maximum distance s it travels before it stops momentarily. The spring has an unstretched length of l m
14-93. The 10-kg sphere C is released from rest when e = 0° and the tension in the spring is 100 N. Determine the speed of the sphere at the instant 0 = 90°. Neglect the mass of rod AB and the size of the sphere. 0.4 m k = 500 N/m B. 0.3 m C. 0.15 m
R14-7. The collar of negligible size has a mass of 0.25 kg and is attached to a spring having an unstretched length of 100 mm. If the collar is released from rest at A and travels along the smooth guide, determine its speed just before it strikes B. A 400 mm k = 150 N/m 200 mm
The 750-mm-long spring is compressed by the plate P, which can slide freely on the 600- mm-long vertical bars. The 55.6-kg block is given a velocity of v = 5 m/s when it is x = 2 m above the plate. Determine how far the plate travels down when the block stops momentarily after hitting it. Neglect the mass of the plate. v = 5 m/s P k = 25 kN/m- A h = 2m 600 mm

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