20 ft/s

A spring is used to stop a 50-kg package which is moving down a 20° incline. The spring has a constant k =34 kN/m and is held by cables so that it is initially compressed 50 mm. Knowing that the velocity of the package is 2 m/s when it is 8 m from the spring and neglecting friction, determine the maximum additional deformation of the spring in bringing the package to rest. Assume that the kinetic coefficient of friction between the package and the incline is 0.2. 2 m/s 50 kg 8m Cable 20° The maximum additional deformation of the spring in bringing the package to rest is 0.574 x m.

1. Which of the following has impulse/s that is/are NOT considered negligible during the impact of the sphere to member AB?        I. Weight of Member ABC      II. Weight of Sphere D      III. Impact force between Sphere D and Member ABC      IV. The reactions at pin B

1) A cup-drawing operation is performed in which: The cup's inside diameter = 75 mm and its height = 50 mm. %3D Stock thickness = 3.0 mm. %3D Punch and die radii = 4 mm. Tensile strength = 400 MPa for this sheet metal. %3D (a) Find the required starting blank size (b) Is this drawing operation feasible? (c) Determine the drawing force, and (d) Determine the blank-holder force.

If A is stationary and B has a velocity of 15 m/s just before collision, and the blocks couple together after impact, determine the maximum compression of the spring. Express your answer to three significant figures and include the appropriate units.