Name PSU Email ID Section THE PENNSYLVANIA STATE UNIVERSITY Department of Engineering Science and Mechanics Engineering Mechanics 212 Exam 3 Wednesday April 14 2021 Problem 1 Problem 2 Problem 3 Total General Instructions Please read them cid 15 The exam goes from 8 00 9 30 p m it is 90 minutes long cid 15 No part of this exam or your solution should be shared with anyone else This includes uploading to a website sharing by GroupMe chat IM or any other means cid 15 You may use your notes any notes posted to Canvas the textbook a calculator and the equation sheet when taking this exam You are not to communicate with anyone while taking this exam cid 15 De ne all component systems used and use proper vector notation both of these are worth points cid 15 Be neat and show all of your work cid 15 Determining your section Section 1 Gray 9 05 9 55 a m Section 2 Kube 3 30 4 20 p m Section 3 Rivi re 1 25 2 15 p m Section 4 Cusumano 2 30 3 20 p m Section H Gray 11 15 a m 12 05 p m Good luck EMCH 212 purple monkey dishwasher Mandatory Signed Pledge You must pledge that you are adhering to Penn State s Code of Conduct when you take the exam To do so on this page you must write out the following statement sign it and include it with your exam Failure to do this and to include with your exam will result in a zero on the exam I pledge that I am adhering to Penn State s Code of Conduct when taking this exam This means I will not communicate with anyone during the exam by any means I will use only the allowed materials I will only access the internet to download the exam view the e book and to upload the exam to Canvas when I am done and I will not cheat in any way Problem 1 33 pts Disks E and F roll without slipping on the at surface The two disks are pin connected by the bar BC At the instant shown B is at the same height as A C is at the top of F bar BC is horizontal and disk F is rotating in the direction shown with constant angular speed 0 At this instant determine the angular velocities and angular accelerations of bar BC and disk E EMCH 212 purple monkey dishwasher Problem 2 33 pts Disk E is in xed axis rotation about its center at A Point B which is at the top of the disk is moving with constant speed v0 in the direction shown At the instant show bar CD is horizontal At this instant determine the angular velocities and angular accelerations of bars BC and CD EMCH 212 purple monkey dishwasher Problem 3 34 pts Block A of mass m and cart B of mass 2m are both at rest when A is released from the top of the ramp A is very dense and B is made of a very lightweight material Block A slides down the ramp until it reaches C where it collides with the ramp The ramp is horizontal at C If the vertical distance through p which A moves is h and the coef cient of restitution for the impact between A and B is e D 1 a the velocities of A and B immediately before the collision b the velocities of A and B immediately after the collision Neglect friction between A and B and friction and inertia in the wheels on which B rolls 3 determine Extra Credit 7 pts Determine the fraction of energy lost during the impact between A and B EMCH 212 purple monkey dishwasher