(read image) ►3/75 The slotted arm OB rotates in a horizontal plane about point O of the fixed circular cam withconstant angular velocity ė = 15 rad/s. The spring has a stiffness of 5 kN/m and is uncompressed when ◊= o. The smooth roller A has a mass of 0.5 kg. Determine the normal force N which the cam exerts on Aand also the force R exerted on A by the sides of the slot when 0 = 45°. All surfaces are smooth. Neglect thesmall diameter of the roller.+0.10.1mmwwwwwwwwwwwwwPROBLEM 3/75B0

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Answered: ►3/75 The slotted arm OB rotates in a…

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 spring-held follower AB has a weight of 0.75 lb and moves back and forth as its end rolls on the contoured surface of the cam, where r=0.2 ft and z = (0.1sine) ft. If the cam is rotating at a constant rate of 6 rad/s, determine the force at the end A of the follower when e=90°. In this position the spring is compressed 0.4 ft. Neglect friction at the bearing C. z = 0.1 sin 20 0.2 ft e = 6 rad/s k = 12 lb/ft Fs FA- T
The weight of the spring held follower AB is 0.381 kg and moves back and forth as its end rolls on the contoured surface of the cam, where r = 0.2 ft and z = (0.1sin20) ft. If the cam is rotating at a constant rate of 6 rad/s, determine the force, in Ib, at the end A of the follower where e = 45°. In this position, the spring is compressed 0.4 ft. Neglect friction at the bearing C. Round your answer to 3 decimal places. z = 0.1 sin 20 0.2 ft e = 6 rad/s A k = 12 lb/ft
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 flat circular disk rotates about a vertical axis through O with a slowly increasing angular velocity w. Prior to rotation, each of the 0.52-kg sliding blocks has the position x = 28 mm with no force in its attached spring. Each spring has a stiffness of 430 N/m. Determine the value of x for each spring for a steady speed of 279 rev/min. Also calculate the normal force N exerted by the side of the slot on the block. The force N is positive if it pushes from the side labeled A. Neglect any friction between the blocks and the slots, and neglect the mass of the springs. (Hint: Sum forces along and normal to the slot.) Answers: X = wwwwwwww N = i i -74-74- mm mm mm N
At the instant shown, the spring is undeformed. Determine the change in potential energy if the 20 kg disk (radius of gyration = 0.5 m) rolls 2 revolutions without slipping. Note that the shown velocity vector refers to the translation of the centre of the wheel. Choices are in image.
The cylinder is at rest supported by the spring of stiffness 205 N/m when a torque of 78 Nm is applied as shown. The mass of the cylinder is 2.5 kg and its radius is 205 mm. If the wheel rolls without slipping, find the velocity of the centre of the wheel when it has moved a distance 352 mm up the slope with the angle ẞ= 25°.
The position of the small 0.68-kg blocks in the smooth radial slots in the disk which rotates about a vertical axis at O is used to activate a speed-control mechanism. If each block moves from r = 162 mm to r = 200 mm while the speed of the disk changes slowly from 272 rev/min to 382 rev/min, design the spring by calculating the spring constant k of each spring. The springs are attached to the inner ends of the slots and to the blocks.
The particle of mass m = 2.1 kg is attached to the light rigid rod of length L = 0.91 m, and the assembly rotates about a horizontal axis through O with a constant angular velocity θ˙θ˙ = ω = 2.9 rad/s. Determine the force T in the rod when θ = 28°. The force T is positive if in tension, negative if in compression. Determine the force T in the rod when θ = 28°. The force T is positive if in tension, negative if in compression.
A uniform plate has a weight of 50 lb. Link AB is subjected to a couple moment of M = 10 lb # ft and has a clockwise angular velocity of 2 rad>s at the instant u = 30°. Determine the force developed in link CD and the tangential component of the acceleration of the plate’s mass center at this instant. Neglect the mass of links AB and CD. PLEASE EXPLAIN THE N-T COORDINATE SYSTEM (HOW DO YOU KNOW WHICH WAY IS THE N-DIRECTION AND T-DIRECTION)
4. The uniform slender rod has a mass m= 20 kg and length L = 0.5 m. As the frame accelerates forward the rod is held in the position shown at a steady angle 0 = tan (3/4) by the stop at A. Determine the magnitude of the reaction force at stop A if the acceleration is a = 6 m/s. A = a L. A
2. Consider the 5-1lb bar with length of 2½ feet and width of 2 inches. Small frictionless bearings are mounted to the ends, constraining the motion of the bar to the horizontal x and y slots. The bar starts at rest at positioned at 0= 45°. If an angular acceleration of 3 rad/s² is desired, what moment M must be applied to the bar? What are the reaction forces at A and B at that instant? Additional question: Does the width of the bar matter, or is it appropriate to consider the bar as a slender rod? Consider errors of less than 2% negligible.
In the figure, rod AB has a mass of 10 kg, and must slide within the slots as shown. If the spring is unstretched when θ = 0°, determine the angular velocity of the bar when it reaches that angle after being released from θ = 30°.

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