3/122 The collar has a mass of 2 kg and is attached to the light spring, which has a stiffness of 30 N/m and an un- stretched length of 1.5 m. The collar is released from rest at A and slides up the smooth rod under the action of the con- stant 50-N force. Calculate the velocity v of the collar as it passes position B. 1.5 m B 30° 50 N A wwwwwwwwwwwww- ASI Tomk=30 N/m www 2 m LEH 3/12 PROBLEM 3/122 www.

3/122 The collar has a mass of 2 kg and is attached to the light spring, which has a stiffness of 30 N/m and an un- stretched length of 1.5 m. The collar is released from rest at A and slides up the smooth rod under the action of the con- stant 50-N force. Calculate the velocity v of the collar as it passes position B. 1.5 m B 30° 50 N A wwwwwwwwwwwww- ASI Tomk=30 N/m www 2 m LEH 3/12 PROBLEM 3/122 www.

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 collar has a mass of 2 kg and is attached to the light spring, which has a stiffness of 30 N∕m and an un- stretched length of 1.5 m. The collar is released from rest at A and slides up the smooth rod under the action of the con- stant 50-N force. Calculate the velocity v of the collar as it passes position B. Use point A as datum.
Dynamic Lecture: The 2 kg BC ring can only move left and right on the frictionless rigid arm. Ring BC is connected to springs with spring constants k = 300 N / m and k ′ = 200 N / m at points AB and CD. The unstretched length of both springs is 600 mm. Since it is known that the springs are not tensioned and starts from rest, find the velocity of the ring BC at the moment when the external force F is applied 200 mm.
A smooth can C, having a mass of 5 kg, is lifted from a feed at A to a ramp at B by a rotating rod. The rod maintains a constant angular velocity of θ˙ = 0.5 rad/s, Neglect the effects of friction in the calculation and the size of the can so that r=(1.2cos⁡θ)m. The ramp from A to B is circular, having a radius of 600 mm. (a) Determine the magnitude of the force which the rod exerts on the can at the instant θθ = 30∘∘. Express your answer to three significant figures and include the appropriate units.
The slotted arm OA rotates about a fixed axis through O. At the instant under consideration, θθ = 34°, θ˙θ˙ = 43 deg/s, and θ¨θ¨ = 10 deg/s2. Determine the magnited of the force F applied by arm OA and the magnitude of the force N applied by the sides of the slot to the 0.3-kg slider B. Neglect all friction, and let L = 0.88 m. The motion occurs in a vertical plane.
Rod OA rotates counterclockwise at a constant angular rate θ˙ = 4 rad/s. The double collar B is pin-connected together such that one collar slides over the rotating rod and the other collar slides over the circular rod described by the equation r=(1.6cosθ)m. Both collars have a mass of 0.55 kg . Motion is in the horizontal plane. Determine the magnitude of the force which the circular rod exerts on one of the collars at the instant θ = 45∘ Determine the magnitude of the force that OA exerts on the other collar at the instant θ = 45∘
The 1400 kg car is starting from rest with a constant acceleration, and after 20 s reaches a speed of 40 km/h. The front wheels are free to roll. Neglect the mass of the wheels and calculate: 1. The normal reactions at each of the four wheels on the road 2. The friction force under the rear driving wheels B.
The collar has a mass of 2 kg and is attached to the light spring, which has a stiffness of 30 N∕m and an unstretched length of 1.5 m. The collar is released from rest at A and slides up the smooth rod under the action of the constant 50-N force. Calculate the velocity v of the collar as it passes position B. Use a datum coinciding with B such that y axis is positive to the right and z axis is positive down.
The spring constants are k1 = 140N / m, k2 = 240N / m and the unstretched lengths of the springs are 0.3 m. If the 6 kg ring is released from rest from point A, calculate its velocity when it reaches point B. According to the given datum line, the total potential energy (Ve) at point A is A = 1116.86 J and the total elastic potential energy (Ve) at point B is B = 370.8 J. Neglect the dimensions of the bracelet. (L1 = 0.90 m, L2 = 1.80 m, h1 = 1.20 m and h2 = 2.40 m)
The collar of mass m is released from rest while in position A and subsequently travels with negligible friction along the vertical-plane circular guide. Determine the magnitude of the normal force exerted by the guide on the collar (a) just before the collar passes point B, (b) just after the collar passes point B (i.e., the collar is now on the curved portion of the guide), (c) as the collar passes point C, and (d) just before the collar passes point D. Use the values m = 0.5 kg, R = 1.0 m, and k = 290 N/m. The unstretched length of the spring is 0.70R.
(3/84) At the instant when ? = 30°, the horizontal guide is given a constant upwardvelocity ?0 = 2 m/s. For this instant calculate the force N exerted by the fixed circularslot and the force P exerted by the horizontal slot on the 0.5-kg pin A. The width of theslots is slightly greater than the diameter of the pin, and friction is negligible.
The spring has an unstretched length of 0.4m and a stiffness of 200N/m. The 3 kg sliderand attached spring are released from rest at A and move in the vertical plane. (a) Computethe change in elastic potential energy from A to B. (b) Compute the change in gravitationalpotential energy from A to B. (c) Compute the velocity of the slider as it reaches B in theabsence of friction.
The collar of mass m is released from rest while in position A and subsequently travels with neg- ligible friction along the vertical-plane circular guide. Determine the normal force (magnitude and direction) exerted by the guide on the collar (a) just before the collar passes point B, (b) just after the collar passes point B (i.e., the collar is now on the curved portion of the guide), (c) as the collar passes point C, and (d) just before the collar passes point D. Use the values m = 0.4 kg, R = 1.2 m, and k = 200 N/m. The unstretched length of the spring is 0.8R.