= 15 ft/sec as it passes point A. Neglecting friction, determine its speed as it passes point B. B ↑ 15 ft/sec A 3/327 The small slider has a speed VA 3' Problem 3/327

The helical path is wound around the circular cylinder with radiusR . The step h= 2*pi*R. The object A is sliding through the path guide under gravity (acting in the negative zdirection). There is no air resistance 1)Draw the force diagrams in (theta ,Z ) plane (tangent to the cylinder) and in( r,theta ) plane. 2) If the initial speed is 0, find the speed after 3 full circles. Given: R, g, m, u.[Hint: Use the work-energy principle.]

REN 5.2.2/3 The hoop is cast on the rough surface such that it has an angular velocity = 3 rad/s and an angular acceleration a = 8 rad/s². Also, its center has a velocity of v.= -51 m/s and a deceleration a 21 m/s². Determine the acceleration of point B at this instant. DIS 12 ~15 D f Nº 0.39 an=r w² an= 0.s. 32 an = 43 an B 30° 0.5 m w = 3 rad/s x = 8 rad/s² D

The x- and y-motions of guides A and B with right-angle slots control the curvilinear motion of the connecting pin P, which slides in both slots. For a short interval, the motions are governed by x - 12+0.55t² and y-16-0.57t³, where x and y are in millimeters and tis in seconds. Calculate the magnitudes of the velocity v and acceleration a of the pin for t-2.5 s. Sketch the direction of the path and indicate its curvature for this instant. B Part 1 A 0000 Correct Calculate the x- and y-components of the velocity. Answers: Vx mm/s Vy- mm/s 2.75 -10.6785