If your solution to stated problem does not match the given solution, you should self-critique per instructions at

   http://vhcc2.vhcc.edu/dsmith/geninfo/labrynth_created_fall_05/levl1_22/levl2_81/file3_259.htm

.

Your solution, attempt at solution.  If you are unable to attempt a solution, give a phrase-by-phrase interpretation of the problem along with a statement of what you do or do not understand about it.  This response should be given, based on the work you did in completing the assignment, before you look at the given solution.

At the end of this document, after the qa problems (which provide you with questions and solutions), there is a series of Questions, Problems and Exercises. 

query_10_5

Question:  Find the tangential and normal components of an object's acceleration if its position vector is R(t) = <3/5 cos t, 4/5(1+sin t), cos t>.

Your solution: 

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Question:  If V(0) = <5,-2,4> and A(0) = <1,3,-9>, what is A_T and A_N at t = 0?

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Question:  An object moves with a constant angular velocity omega around the circle x^2 + y^2 = r^2 in the xy-plane.

• Find a parameterization for the circle.
• Compute the tangential and normal acceleration for the object.

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Given Solution: 

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Question: 

Consider the vector function R(t) = <3 sin t, 4t, 3 cos t>.

• Evaluate V(t) = R'(t), N(t), and A(t) = R''(t) when t = 1.
• Find the vector projection of A(1) onto V(1). Denote this proj_V(1) (A(1)).
• Find the vector projection of A(1) onto N(1). Denote this proj_N(1) (A(1)).
• What is the sum of proj_V(1) (A(1)) and proj_N(1) (A(1)).
• How does proj_V(1) (A(1)) relate to A_T when t = 1.
• How does proj_N(1) (A(1)) relate to A_N when t = 1.

Your solution: 

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Given Solution: 

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Question:  Let B = T X N when T and N are the unit tangent and normal vectors to a curve C with position vector R. Show that dB/ds = T X (dN/ds).

Your solution: 

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Given Solution: 

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