The 0.5-kg cylinder A is released from rest from the position shown anddrops a distance h = 0.6 m. It then collides with the 0.4-kg block B, whichrests on two massless springs of stiffness k₁ = 50 N/m and k₂ = 100 N/m,that have the same natural length (unstretched length). The coefficient ofrestitution of the collision is e = 0.8. Neglect all friction and treat both Aand B as particles.(a) Show that the initial deformation of each of the two springs isapproximately 0.0262 m.(b) Determine the maximum downward displacement of block B from itsinitial position, after the impact.(c) Determine the energy that is lost in the impact between block A andblock B.MAAhMBBwwwwwwwwwwww

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Answered: The 0.5-kg cylinder A is released from…

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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Q2: The 0.5-kg cylinder A is released from rest from the position shown and drops the distance h; = 0.8 m. It then collides with the 0.4-kg block B; the coeffi- cient of restitution is e = 0.8. Determine the maxi- mum downward displacement ks of block B. Negleet all friction and assume that block B is ini- tially held in place by a hidden mechanism until the collision begins. The two springs of modulus % = 400 N/m are initially unstretched, and the dis- tanced = 1.0m.
The 50-kg block at A is mounted on rollers so that it moves along the fixed horizontal rail with negligible friction under the action of the constant 300-N force in the cable. The block is released from rest at A, with the spring to which it is attached extended an initial amount x1 = 0.233 m. The spring has a stiffness k = 80 N/m. Calculate the velocity v of the block as it reaches position B.
The 0.7 lblb ball is shot from the spring device shown Determine the smallest stiffness k which is required to shoot the ball a maximum distance of 31 in. up the smooth plane after the spring is pushed back 3 in . and the ball is released from rest. The four cords C and plate P keep the spring compressed 2 in. when no load is on the plate.
The 10-lb collar B is at rest, and when it is in the position shown the spring is unstretched. If another 1-lb collar A strikes it so that B slides 4 ft on the smooth rod before momentarily stopping, determine the velocity of A just after impact, and the average force exerted between A and B during the impact if the impact occurs in 0.002 s. The coefficient of restitution between A and B is e = 0.5
The 15 lb suitcase is released from rest at C. After it slides down the smooth ramp, it strikes the 10 lbsuitcase B, which is originally at rest. If the coefficient of restitution between the suitcase is e = 0.3 and thecoefficient of kinetic friction between the floor DE and each suitcase if 0.4, determinea. Velocities of A and B just after the impactb. Distance B slides before coming to rest.
4. The 12-kg package A has a speed of 2.5 m/s when it enters the smooth ramp. As it slides down the ramp, it strikes the 34-kg package B which is initially at rest. If the coefficient of restitution between A and Bis = 0.65, determine the velocity of B just after the impact.
Block A has a mass of 2 kg and slides into an open ended box B with a velocity of 2 m/s. If the boxB has a mass of 3 kg and rests on top of a plate P that has a mass of 3 kg, determine the distancethe plate moves after it stops sliding on the floor. Also, how long is it after impact before allmotion ceases? The coefficient of kinetic friction between the box and the plate is μk=0.2, andbetween the plate and the floor μ'k=0.2. Also, the coefficient of static friction between the plateand the floor is μ's = 0.5
A 3 kg slider is released from rest at point A and slides with negligible friction' in a vertical plane along the circular rod. The attached spring has a stiffness of 350 N/m and has an unstretched length of 0.75 m. a) Which of the following gives the gravitational potential energy if the slider passes position B. b) Which of the following gives the elastic potential energy if the slider passes position B. c) Which of the following gives the velocity of slider as it passes position B
Direct central impact occurs between a 100lbs body moving to the right at 5 ft per second and a body of weight W moving to the left at 3 ft per sec. The coefficient of restitution e = 0.5. After impact the 100lb body rebounds to the left at 2ft/s. Determine the weight W of the other body. (lbs)
Block A has a mass mA and is attached to a spring having a stiffness k and unstretched length l0. If another block B, having a mass mB, is pressed against A so that the spring deforms a distance d, show that for separation to occur it is necessary that d > 2µkg(mA + mB )/k, where µkis the coefficient of kinetic friction between the blocks and the ground. Also, what is the distance the blocks slide on the surface before they separate?
The 4 kg ball is thrown at the suspended 0.35kN block with a velocity of 5 m/s. If the impact is perfectly elastic, what is the value of height "h" to which the block will swing before it comes to rest?
The 12-kg package A has a speed of 2.5 m/s when it enters the smooth ramp. As it slides down the ramp, it strikes the 34-kg package B which is initially at rest. If the coefficient of restitution between A and B is = 0.65, determine the velocity of B just after the impact.

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