Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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- Consider a slender rod AB with a length l and a mass m. The ends are connected to blocks of negligible mass sliding along horizontal and vertical tracks. If the rod is released with no initial velocity from a horizontal position as shown in Fig.A, determine its angular velocity after it has rotated through an angle of θ (see Fig B) using the conservation of energy method. (Hint: Moment of inertia of rod about G = (1/12)ml2 The kinetic energy of a rigid body in plane motion isarrow_forwardThe 18-kg rod AB is pin-connected at A and subjected to a couple moment of M =15 N- m The rod is released from rest when the spring is unstretched at 0 = 30°. As the rod rotates, the spring always remains horizontal, because of the roller support at C. (Figure 1) Determine the rod' s angular velocity, measured clockwise, at the instant 0 = 60°. Express your answer using three significant figures. Enter positive value if the angular velocity is clockwise and negative value if the angular velocity is counterclockwise. vec rad/s k = 40 N/m 0.75 m M = 15 N- marrow_forwardThe 2.28-kg uniform slender bar rotates freely about a horizontal axis through O. The system is released from rest when it is in the horizontal position 0 = 0 where the spring is unstretched. If the bar is observed to momentarily stop in the position 0 = 66°, determine the spring constant k. For your computed value of k, what is magnitude of the angular velocity of the bar when 0 = 48°. B 0.85 m 0.85 m 2.28 kg 0.29 my Answers: k = i N/m ω- rad/s 1arrow_forward
- The system is at rest with the spring unstretched when theta = 0. the 5.3 kg uniform slender bar is then given a slight clockwise nudge. The value of b is 0.45 m. (a) if the bar comes to momentary rest when the angle = 58, determine the spring constant k. (b) for the value k = 65 N/m, find the magnitude of the angular velocity of the bar when the angle = 38 degrees. a) k = 70.634 N/marrow_forwardThe system shown below consists of a uniform disk D that has a mass of mp = 3.0 kg and a radius of r = 1.0 meters. The disk is connected by a massless cable to a block. The system is released from rest and the disk starts rolling without sliding with the angular acceleration of a = rad 30 s2 in the clockwise direction. Determine the magnitude of the friction force (in Newtons) developed between the disk and the inclined surface at this instant. Consider 0 = 40° and g = 10 m. mparrow_forwardA cable is wrapped around the spool’s center hub. The mass of the spool is m= 100 kg, the radius r1 = 0.4 m, r2 =0.6 m, and the radius of gyration is kG = 0.3 m. A horizontal force P = 10 N is applied to the cord. The spool is initially at rest and rolls without slipping. (3) The angular velocity of the spool after 2 seconds is __________rad/s (two decimal places)arrow_forward
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