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Slider C has a weight of 0.5 Ib and may move in a slot cut in arm AB, which rotates at the constant rate
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Vector Mechanics For Engineers
- Three identical small spheres, each weighting 2 lb, can slide freely on a horizontal frictionless surface. Spheres B and C are connected by a light rod and are at rest in the position shown when sphere B is struck squarely by sphere A, which is moving to the right with a velocity v0 = (8 ft/s)i . Knowing that θ = 30° and that the velocities of spheres A and B immediately after the impact are vA = (0.5 ft/s)i and vB = (3.75 ft/s)i + (vB)yj, determine (vB)y and the velocity of C immediately after impact.arrow_forwardTwo hemispheres are held together by a cord which maintains a spring under compression (the spring is not attached to the hemispheres). The potential energy of the compressed spring is 120 J and the assembly has an initial velocity v0 of magnitude v0 = 8 m/s. Knowing that the cord is severed when 0 = 30°, causing the hemispheres to fly apart, determine the resulting velocity of each hemisphere.arrow_forwardA spring AB of constant k is attached to a support at A and to a collar of mass m. The unstretched length of the spring is 1 . Knowing that the collar is released from rest at x=x0 and neglecting friction between the collar and the horizontal rod, determine the magnitude of the velocity of the collar as it passes through point C.arrow_forward
- A spring AB of constant k=200kn/m is attached to a support at A and to a collar of mass m=200 gm. The unstretched length of the spring is I=0.6m. Knowing that the collar is released from rest at x0 = 80 cm and neglecting friction between the collar and the horizontal rod, determine :the magnitude of the velocity of the collar as it passes through point C.arrow_forwardSolve Prob. 13.26, assuming that the 2-kg block is attached to the spring.Reference to Problem 13.26:A 3-kg block rests on top of a 2-kg block supported by, but not attached to, a spring of constant 40 N/m. The upper block is suddenly removed. Determine (a) the maximum speed reached by the 2-kg block, (b) the maximum height reached by the 2-kg block.arrow_forwardThree small spheres A, B, and C , each of mass m , are connected to a small ring D of negligible mass by means of three inextensible, inelastic cords of length I . The spheres can slide freely on a frictionless horizontal surface and are rotating initially at a speed v0 about ring D which is at rest. Suddenly the cord CD breaks. After the other two cords have again become taut, determine (C ) the speed of ring D, (b) the relative speed at which spheres A and B rotate about D , (c) the fraction of the original energy of spheres A and B that is dissipated when cords AD and BD again became taut.arrow_forward
- A 1-kg block B is moving with a velocity v0 of magnitude v0 = 2 m/s as it hits the 0.5-kg sphere A , which is at rest and hanging from a cord attached at 0 . Knowing that μk= 0.6 between the block and the horizontal surface and e = 0.8 between the block and the sphere, determine after impact (a) the maximum height h reached by the sphere, (b) the distance x traveled by the block.arrow_forwardCar A was traveling west at a speed of 15 m/s and car B was traveling north at an unknown speed when they slammed into each other at an intersection. Upon investigation it was found that after the crash the two cars got stuck and skidded off at an angle of 50° north of east. Knowing the masses of A and B are m mA and mB, respectively, draw the impulse-momentum diagram that can be used to determine the velocity of B before impact.arrow_forwardA bowler projects an 8-in.-diameter ball weighing 12 lb along an alley with a forward velocity v0 of 15 ft/s and a backspin ω0 of 9 rad/s. Knowing that the coefficient of kinetic friction between the ball and the alley is 0.10, determine (a) the time t1 at which the ball will start rolling without sliding, (b) the speed of the ball at time t1, (c) the distance the ball will have traveled at time t1arrow_forward
- Two identical spheres A and B each of mass m , are attached to an inextensible inelastic cord of length L and are resting at a distance a from each other on a frictionless horizontal surface. Sphere B is given a velocity v0 in a direction perpendicular to line AB and moves it without friction until it reaches B ’ where the cord becomes taut. Draw the impulse-momentum diagram that can be used to determine the magnitude of the velocity of each sphere immediately after the cord has become taut.arrow_forwardA 2000-kg automobile starts from rest at point A on a 6° incline and coasts through a distance of 150 m to point B. The brakes are then applied, causing the automobile to come to a stop at point C , which is 20 m from B . Knowing that slipping is impending during the braking period and neglecting air resistance and rolling resistance, determine (a) the speed of the automobile at point B, (b) the coefficient of static friction between the tires and the road.arrow_forwardQUESTION: A bowling ball ( m₁ = 3.00 kg and radius of r = 50.0 mm) which has an angular and linear velocity of 57.1 rad/s and 2.85 m/s, respectively, rolls without sliding and hits a slender Bar B of mass m_2 = 1.00 kg and length L = 0.12 m, which is initially at rest as shown in the following figure. Neglecting the friction between the sphere and the bar, and knowing the coefficient of restitution between the sphere and the bar is 0.2, determine (1) the angular velocity of Sphere A and Bar B immediately after impact, and (2) the linear velocities of sphere A and bar B immediately after impact (and at their centroids). ANSWER: Answers I got are: (they are wrong :< need help) Angular velocity of Sphere A immediately after impact: -/+ 3.34 rad/s (both are wrong) Angular velocity of Bar B immediately after impact: 8.09 rad/s The linear velocity of sphere A immediately after impact (and at the centroid) : 0.16 rad/s2 or 0.485 rad/s2 (both wrong) The linear velocity of Bar B…arrow_forward
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