PP 3.pdf

Uniformly Accelerated Motion & Motion of Several Particles Section #11.6 Relative Motion ? Dependent Bodies ? Relative motion between ____________ particles ?Changing x A in the pulley system ____________ ______________ ?Need to determine ____________________ before proceeding with problem solution x B M A M B x A Pulleys - Procedure ? Define positive directions ? Add ____________________ at each cable connection Find cable length change: ? If you need to ?_________? cable to connect, _______ ? If need to _________ cable to connect, _____________ ? Total ?x=0, since cable does not get longer or shorter Pulleys - Procedure x A x B ?x A ?x B Pulleys - Procedure x A x B ?x A ?x B Given the velocity and acceleration of block A, find the velocity and acceleration of block B Example Problem #1 Example Problem #2 Given the velocity and acceleration of block B, find the velocity and acceleration of block A Exercise 2.5.20 (p. 87) Example Problem #3 Given the velocity and acceleration of block A, find the velocity and acceleration of block B Example Problem #4 ? Block A has v A =10m/sec to the right at t=0 and a constant acceleration of 2.0 m/sec 2 to the left. ? Find the distance traveled by the block B during the interval t=0 to t=8 sec. Example Problem #4a Draw: Given: Goal: (constant)2 10 2 0, s m a s m v A A += ?= Assume: Equations: 2 0,0, 2 1 )( tatvyty BBBB ++= Example Problem #4b Solution: Pulley kinematics: Example Problem #4c 2 2 3 2 2 1 3 1 310)( t s m t s m mty B ? ? ? ? ? ? ?+ ? ? ? ? ? ? += t s m s m tv B ? ? ? ? ? ? ?+ ? ? ? ? ? ? = 2 3 2 3 1 3)( -2.0015.38 -1.3317.07 -0.6718.06 0.0018.35 0.6718.04 1.3317.03 2.0015.32 2.6713.01 3.3310.00 m/secmsec v B y B t jparker Microsoft PowerPoint - S3-Uniformly_Accelerated_Motion.ppt