Q2: The 0.5-kg cylinder A is released from rest from theposition shown and drops the distance hi = 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 k2 of block B.Neglect all friction and assume that block B is ini-tially held in place by a hidden mechanism untilthe collision begins. The two springs of modulusk = 400 N/m are initially unstretched, and the dis-tance d = 1.0 m.Ah1Bh2d-

Given Data Spring stiffness, k=400N/m Distance, d=1m The coefficient of restitution, e=0.8 h1=0.8m…

The 0.5-kg cylinder A is released from rest from the position shown and drops the distance hị = 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 h, of block B. Neglect 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 k = 400 N/m are initially unstretched, and the dis- tance d = 1.0 m. A hi wwww B www h2 p-

The 0.5-kg cylinder A is released from rest from the position shown and drops the distance hị = 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 h, of block B. Neglect 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 k = 400 N/m are initially unstretched, and the dis- tance d = 1.0 m. A hi wwww B www h2 p-

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter7: Dry Friction

Section: Chapter Questions

Problem 7.79P: The coefficient of rolling resistance between the 30-kg lawn roller and the ground is r=0.1. (a)...

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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 250-lb concrete block A is released from rest in the position shown and pulls the 400-lb log up the 30o ramp. If the coefficient of kinetic friction between the log and the ramp is 0.5, determine thevelocity of the block as it hits the ground at B.
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
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.
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.
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.
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 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.
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The simple pendulum A of mass ma = 3.9 kg and length I = 1.51 m is suspended from the trolley B of mass me = 7.9 kg. If the system isreleased from rest at 0 = 0, determine the velocity g (positive if to the right, negative if to the left) of the trolley when 0 = 90° Friction is negligible.
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, determine the distance both blocks slide on the smooth surface before they begin to separate. What is their velocity at this instant?
The 1.9-kg slider is released from rest in position A and slides without friction along the vertical-plane guide. Determine the normal force exerted by the guide on the slider (a) just before it passes point C, (b) just after it passes point C, and (c) just before it passes point E. The normal forces are positive if they point up and/or to the left, negative if they point down and/or to the right.