M Problem 1 (60 points) Explain your work. a This problem was inspired by a song called 'The Sick Note' by the Irish band Dubliners which you might enjoy listening to first: https://youtube/jSuODpt79Ak You will not explore all of the physics of the song, only the initial phase, and we h will ignore the 'breaking of the shoulder' bit as it complicates the physics. Part A (Dynamics) A barrel with building bricks (mass m2) is initially held in place by a rope attached to a wall. Mr. Paddy Murphy (mass mi), confident in his powers and forgetting basic physical principles, thinks he can hold the barrel and has just untied the rope (see picture). Since my>m1, the assembly will begin to move. The barrel moves down through distance h, Mr. Murphy moves up through distance h, and the frictionless pulley (mass M, radius r, solid cylinder) spins (no slipping). m1=65kg m2=130kg M=60kg r=0.5m h=45m a. Draw (extended, if necessary) FBDs for all relevant objects. Include coord systems and labels for EACH FBD. FBD m1 FBD M (pulley) FBD m2 b. Use your FBDs to set up your dynamics equations. Don't solve here: m1: EF = m2: EF = M pulley: 2Taxis_of_ rotation c. List constraints. How are the three accelerations related? Explain any negative signs.d. Find the acceleration for poor Mr. Murphy. e. Use your acceleration result from above and kinematics to find the speed with which Mr. Murphy's head hits the pulley at the top.You will now nd the speed with which Mr. Murphy's head hits the pulley, but this time you will use conservation of energy instead of dynamics. The gure shows a 'before; {case A] and 'after' [case B) picture for the problem. 11 m. ill\" '0 016'" .04 a. Use the gure above and conservation of energy to find the speed with which Mr. Murphy's head will hit the pulley. Are you getting the same answer as in part A [using dynamics]? No explanation necessary' for this page: b. How would Mr. Murphy's speed right before hitting the top be affected if the pulley's mass M were bigger? 1. it would be the same 2. It would be greater 3. It would be smaller :2. How would Mr. Murphy's speed right before hitting the top be affected if the pulley's mass were concentrated on the rim [same radius}? 1. it would be the same 2. It would be greater 3. It would be smaller d. Which is correct for the tensions T1 (Mr. Murphy's side) and T2 (barrel side] during the motion? 1. TpT; 2. TlctTg 3. T1=T2 4. Need more info