Question

Consider the three displacement vectors A = (3i - 3j) m, B = (i - 4j) m, and C = (2i + 5j) m. Use the component method to determine (a) the magnitude direction of the vector D = A + B + C and (b) the magnitude and direction of E = -A - B + C. A person going for a walk follows the path shown in Figure P1.51. The total trip consists of four straight-line paths. At the end of the walk, what is the person's resultant displacement measured from the starting point? Express in unit-vector notation the following vectors, each of which has magnitude 17.0 cm. (a) Vector E is directed 27.0 degree counterclockwise from the positive x axis. (b) Vector F is directed 27.0 degree counterclockwise from the positive y axis. (c) Vector G is directed 27.0 degree clockwise from the negative y axis.

Answer 1

AC COYding to the u The displacement om the iniol pont rom Each movement sh he ft movement hey ore at Coo,0) At eond (oo, -300) Then 3.d is (m-,SOGA 30,-300-ISO Sin 30) C-30, -375) At 4h C-30-2coces 60, -31+200sinGo e-130, 20v) The yean diplacement rom Ongn s : The displacement a0tan (202130)

AC COYding to the u The displacement om the iniol pont rom Each movement sh he ft movement hey ore at Coo,0) At eond (oo, -300) Then 3.d is (m-,SOGA 30,-300-ISO Sin 30) C-30, -375) At 4h C-30-2coces 60, -31+200sinGo e-130, 20v) The yean diplacement rom Ongn s : The displacement a0tan (202130)

AC COYding to the u The displacement om the iniol pont rom Each movement sh he ft movement hey ore at Coo,0) At eond (oo, -300) Then 3.d is (m-,SOGA 30,-300-ISO Sin 30) C-30, -375) At 4h C-30-2coces 60, -31+200sinGo e-130, 20v) The yean diplacement rom Ongn s : The displacement a0tan (202130)