# Problem 4 (25 points) The total external force on the 2 kilogram object is given as...

###### Question:

Problem 4 (25 points) The total external force on the 2 kilogram object is given as a function of time by F = 2.5ti + 5taj newtons. At time ty = 0, the object's position and velocity are p = 0 and v = 0. OK (a) Use Newton's 2nd law to obtain expressions for the object's velocity and position as functions of time, i.e. ölt) and (t), respectively. (b) Integrate FxZF with respect to time from t = 0 to t = 6 seconds to determine the angular impulse about O exerted on the object during this interval of time. (c) Using only your expressions obtained in part (a), determine the change in the objects angular momentum from t; = 0 to t; = 6 seconds. For this part you may only use your expressions for it and FC). All work must be shown, e.g. writing out the matrix and its determinant.

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