EX16.2_Pulley_and_Mass-aud

EX16.2_Pulley_and_Mass-aud - velocity Must consider...

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Load B is connected to a double pulley by one of the two inextensible cables shown. The motion of the pulley is controlled by cable C which has constant acceleration of 9 in/s 2 and an initial velocity of 12 in/s both directed to the right. Determine (a) the number of revolutions executed by the pulley in 2 s, (b) the velocity and change in position of the load B after 2 s and (c) the acceleration of point D on the rim of the inner pulley at t=0. Consider motion of the pulley at t=0 EX16.2 – Pulley and Mass What is your first step? Solution: Problem Type: Find: Given: Figure and a c = 9 in/s, 2 v c = 12 in/s, t=2 sec a) N, b) v B and s B c) a D Rigid Body Kinematics, Fixed Axis Rotation Reflection: In circular motion all points may have different acceleration and
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Unformatted text preview: velocity. Must consider direction as well 2 / 9 ) ( / 12 s in a a s in v v C t D C D = = = = Note that the radius of the inner pulley is 3 in, can you determine ω and α at t=0? sCW rad w r v D / 4 = = ϖ sCW rad r a t D / 3 ) ( = = α Since the acceleration is constant we can determine the angular velocity and Number of revolutions at t=2 s sCW rad t / 10 2 * 3 4 = + = + = rev rad rev N radCW t t 23 . 2 2 1 14 2 1 2 = = = + = π θ Now find the motion of load B s in v r v B B / 50 = = in y r y B B 70 = = Lastly find the acceleration at D. 2 / 9 ) ( ) ( s in a a a t D C t D = = 2 2 / 48 ) ( ) ( s in j a j r a n D D n D -=-= sec / 48 9 in j i a D -=...
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This note was uploaded on 01/22/2011 for the course ME 212 taught by Professor Staff during the Spring '05 term at Cal Poly.

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