1. As shown in Fig. 1, a block of mass m is falling from some height h along an inclined plane. It then slides across a frictionless surface and enters a circular loop of radius R = 5 meters. The magnitude of gravitational acceleration is given by 9.81 m/s². h Fig. 1 (a) If h = 20 meters, what is the magnitude of velocity of the block when it is travelling along the horizontal surface? (b) Calculate the magnitude of minimum tangential velocity with which the block must travel when it is at the top position of the circular loop such that it does not fall off. (For the minimum speed, the block will almost lost contact with the surface of the loop, making the normal reaction force zero) (c) Find the minimum height h from where the block needs to be released on the inclined plane such that it can make a complete turn along the circular loop.

14. Determine the proper RPM for a 3" piece of cold-rolled steel with a cutting speed of SFPM. Round the nearest RPM. Hint: Refer to formulas and examples in your textb а. 102 b. 115 C. 87 d. 146 15. Calculate the machining time (in minutes, rounded to the nearest minute) for a part in length 10" diameter AISI/SAE 4140 steel using a cutting speed of 110 SFPM and a rate of 0.008 IPR. Hint: Refer to examples in your textbook. а. 47 b. 60 C. 86 d. 74

Q1. The lathe operates on the principle of.. a. the cutter revolving against the work piece. b. the cutting tool, that can be controlled, can be moved vertically across the work piece_ c. the work piece rotating against the cutting tool, which can be controlled. d. both cutter and work piece rotating.

Consider the gear train below where Gear D has 80 teeth and Gear A is spinning with 600 rpm. D 60 teeth the A 40 teeth 20 teeth a. What is the speed of Gear D? We want to adjust the gear train. We can only change out Gear C for a different sized gear. Gear A will continue spinning with 600 does our new Gear C need to have so that Gear D b. How many teeth rpm. spins with 200 rpm? B.