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Problem #1: Given: Sphere 4 (mass = 1.5 kg) is initially moving to the left at a speed v, +18 mys. It strikes wedge B (mass = 4.5 kg) which is at rest on a smooth surface. After impact, the sphere is observed to have a velocity that is completely vertical, while the wedge’s velocity is completely horizontal. The coefficient of restitution between the wedge and the sphere is ¢=0.6. Required: Determine the velocity of sphere 4 after impact. Hint: You will need to determine the unknown angle @ as part of your solution. Problem #2: Given: A large block (weight = 100 Ib) is used as a “hammer” to impact a workpiece. The block is released from rest in position 1, and it strikes the workpiece when it reaches position 2. The impact lasts 0,025 seconds, and the block has no velocity after the impact occurs. The springs both have a stiffness k= 10 Ib/in and an unstretched length of 12 in, Use g=386.4-8,. Required: (a) Determine the average value of the impact force Workpiece 7 that the block exerts on the workpiece, . (b) Suppose that the block does have an upward velocity after the a Rin ow impact occurs. Would this imply thal the average value of the impact force is larger, smaller, or the same as it is in part (a}? Explain why Problem #3: Given: The collar C is attached to rod CD and slides over rod AB. At the instant shown, @,, = 3 rad/s in the counterclockwise direction. Required: T'ind the magnitude and direction of the collar’s velocity relative to 4B at this instant.