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4) Now your two equations have just two unknowns, the Tension and the acceleration of the block. Solve the system of equations to find the acceleration of the block. エ.ab WB - TB = Mog illen

4) Now your two equations have just two unknowns, the Tension and the acceleration of the block. Solve the system of equations to find the acceleration of the block. エ.ab WB - TB = Mog illen

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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I finished 1-3 but I need help with 4&5 and once I get those I’ll be able to send 6-8 for help!
(last) (first) II Using N2L for rotations in systems of objects. Now we're going to look at a more complicated system, one where we have two objects, one translatng and one rotating whose motion is linked, in an analogous fashion to an atwoods machine. 1) Suppose we have a spool of thread, which we will model as a solid disk, of radius r; = 0.15 m and mass m, = 1.5 kg. This spool is able to rotate around a fixed axis through its center. Attached to this thread is a block of mass 0.75 kg. The block is released from rest and begins to accelerate downwards.' In the space below, draw an extended FBD for the spool, and a point FBD for the block (Why do we only need a point FBD for the block?) Ts Ws WB 2) Using your two FBD's apply Newtons 2nd law to each. Since the spool is only undergoing rotational motion, we only need to apply the rotational N2L, and likewise only need to apply the translational N2L to the block. Apply these equations to the FBD’s below, but don't solve them yet. EF =ma ET - Tor 3) In principle, there are three unknowns in the equations you've written above. We have an unknown Tension force acting on both systems, an unknown acceleration of the block, and an unknown angular acceleration of the spool. However, if the thread is unwinding from the spool. then the acceleration of the block is related to the angular accleration of the spool. In this case. the linear acceleration of the block must match the tangential acceleration of the spool. (this will also be true for objects that are rolling without slipping, which is a key phrase you want to watch out for). Using the relationship between a and a;, rewrite your equation for the rotational version of N2L below without the angular acceleration: イニ a Tン IaB T
Transcribed Image Text:(last) (first) II Using N2L for rotations in systems of objects. Now we're going to look at a more complicated system, one where we have two objects, one translatng and one rotating whose motion is linked, in an analogous fashion to an atwoods machine. 1) Suppose we have a spool of thread, which we will model as a solid disk, of radius r; = 0.15 m and mass m, = 1.5 kg. This spool is able to rotate around a fixed axis through its center. Attached to this thread is a block of mass 0.75 kg. The block is released from rest and begins to accelerate downwards.' In the space below, draw an extended FBD for the spool, and a point FBD for the block (Why do we only need a point FBD for the block?) Ts Ws WB 2) Using your two FBD's apply Newtons 2nd law to each. Since the spool is only undergoing rotational motion, we only need to apply the rotational N2L, and likewise only need to apply the translational N2L to the block. Apply these equations to the FBD’s below, but don't solve them yet. EF =ma ET - Tor 3) In principle, there are three unknowns in the equations you've written above. We have an unknown Tension force acting on both systems, an unknown acceleration of the block, and an unknown angular acceleration of the spool. However, if the thread is unwinding from the spool. then the acceleration of the block is related to the angular accleration of the spool. In this case. the linear acceleration of the block must match the tangential acceleration of the spool. (this will also be true for objects that are rolling without slipping, which is a key phrase you want to watch out for). Using the relationship between a and a;, rewrite your equation for the rotational version of N2L below without the angular acceleration: イニ a Tン IaB T
4) Now your two equations have just two unknowns, the Tension and the acceleration of the block. Solve the system of equations to find the acceleration of the block. I. ab T= WB - TB = Mog am m be 5) Using the kinematics equations for translational, determine how fast the block is moving after it falls 1.2 m (we'll see another way we could find this answer in part III) (e ad sifwod a
Transcribed Image Text:4) Now your two equations have just two unknowns, the Tension and the acceleration of the block. Solve the system of equations to find the acceleration of the block. I. ab T= WB - TB = Mog am m be 5) Using the kinematics equations for translational, determine how fast the block is moving after it falls 1.2 m (we'll see another way we could find this answer in part III) (e ad sifwod a
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