Question 2 A spherical ball of mass 0.2 kg and radius 0.1 m was released from the top of a platform with an initial velocity of 0m/s as shown in the figure below. The height of the platform is 4 m and the diameter of the circular loop in the middle is 3 m. Assume the track is frictionless and there is no air resistance. 4 ml 3 m (a) What is the velocity of the ball when it reaches the bottom of the slope (when height = 0 m and before entering the loop)? (b) What is the velocity of the ball. if it reaches the top of the loop? Will the ball make the loop? (c) Now, ignore the presence of the loop. The ball falls via the same loop from position 1 and directly roll towards position 4, bypassing the loop entirely. The height of the hump at position 4 is 1 m. The ball just about lifts off contact from the track as it passes through position 4 at top of the hump. What is the radius of the curvature of this hump?

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Forming and Shaping

Metal forming is a category of metalworking process through which the material can be given the desired shape and size by subjecting it to plastic deformation, where the component undergoes bulk deformation process upon application of loads. Unlike the shearing and machining process, the material does not undergo up to a failure point as indicated in the stress-strain curve. Hence, the stresses induced during the forming process are greater than yield strength but less than the failure strength of the material. The process does not lead to the loss of material, so it can be said to be an economical process. During forming, the material is subjected to tensile forces, compressive forces, bending, and shearing loading conditions. The material should possess the property of ductility to undergo the forming process.