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posted by  100x35 on 7/3/2009 10:28:49 AM  |  status: Live  |  Earned Karma: 25

Mechanics Dynamics; Force, Mass, and Acceleration...will rate

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Question Details:
The robot manipulator is programmed so that x = 40 + 24t2 mm, y = 4t3 mm, and z = 0 during the interval of time from t = 0 to t = 4 s. The y axis points upward. What are the x and y components of the total force exerted by the jaws of the manipulator on the 2-kg widget A at t = 3 s?
100x35
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posted by VSL on 7/3/2009 5:24:48 PM  |  status: Live
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Response Details:
Note: To find the components of the total force at 3 secs, we must "differentiate" the position functions in the x- and y-direction to find the acceleration because of Newton's Second Law of Motion (I am basing these conclusions on basic principles of physics)






Note: The component of the acceleration in the x-direction is not a function of time, hence, it is constant






Note: Now we will proceed to calculate the components of the total force by applying Newton's Second Law




Note: If those answers/solutions I provided you with above are correct, then I am sure you can "convert" the unit to Newton by applying some simple conversion factors
"In physics, you don't have to go around making trouble for yourself - nature does it for you" - Frank Wilczek
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