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Class Management Help # 3 2017 Ch 3 vectors Extension Begin Date: 9/8/2017 1 1:0

ID: 1788028 • Letter: C

Question

Class Management Help # 3 2017 Ch 3 vectors Extension Begin Date: 9/8/2017 1 1:00:00 AM-Due Date: 1 1/27/2017 1 1:59:00 PM End Date: 1 1/27/2017 1 1:59:00 PM (14%) Problem 5:The figure depicts the sum of two velocities. ht = 6.72 m/s Vi Vtot 23.0 Assignment Status 26.5° Click here for detailed view ©theexpertta.com Problem Status Completed Partial 50% Part (a) Find the component. in meters per second, of tot along anx'-axis rotated 30° counterclockwise relative to the x-axis in the figure Grade Summary Deductions Potential 0% 100% sin0 cosO cotanasinacos0 atnacotansinh( coshtanh cotanh) Submissions 4 5 6 Attempts remaining: 10 (1 % per attempt) detailed view Degrees ORadians PACE EAR Submit Hint I give up! Hints: deduction per hint. Hints remaining: 4 Feedback: 0% deduction per feedback. 50% Parl (b) Find the component, in melers per second, of vtot along ayLaus rolaled 30° counterclockwise relative lo lhe v-axis in the gure All content 2017 Expert lA. LLC

Explanation / Answer

(a) 30 degree counterclockwise relative to x-axis means 30 degree in +z direction

So Vtot in original position = Vtot cos (30) = 6.72 x 0.866025404 = 5.81

Vtot)x = 5.81 x Cos (26.5o + 22.5o) = 5.81 x 0.656059029

Vtot)x = 3.811 m/s

(b) 30 degree counterclockwise relative to y-axis means 30 degree in -z direction

So Vtot in original position = Vtot cos (30) = 6.72 x 0.866025404 = 5.81

Vtot)y = 5.81 x Cos (90 - (26.5o + 22.5o)) = 5.81 x 0.75470958

Vtot)y = 4.38486266 m/s