ME 274: Basic Mechanics IISpring 2018

Feburary 12, 2018

Problem 2 (24 points):

Given: The mechanism shown below consists of two links. Link OAB consists of a bar of length5L that is rigidly connected to a semi-circular disk of radius 3L. This link rolls without slip on theground at O and is attached, via a pin joint, to link BD at B. Link BD is pinned to a piston at D,which is constrained to move in a horizontal direction. At the instant shown, ~vD = vD i, where vD

is constant.

Find: At this instant:(a) Sketch and label the instant center of link BD;(b) Using vector analysis, determine the angular velocity of links OAB and BD; and(c) Using vector analysis, determine the angular acceleration of link OAB and BD.

Express your answers in terms of vD and L.

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