The velocites of boat A and C are as shown and the relative velocity of boat B w
ID: 2993696 • Letter: T
Question
The velocites of boat A and C are as shown and the relative velocity of boat B with respect to A is V B/A= 4 m/s 50 deg. Determine (a) V A/C, (b) V C/B, (c) the change in position of B with respect to C during a 10-s interval. Also show that for any motion,
V B/A + V C/B + V A/C = 0
The velocities of boat A and C are as shown and the relative velocity of boat B with respect to A is V B/A = 4 m/s 50 deg. Determine (a) V A/C, (b) V C/B, (c) the change in position of B with respect to C during a 10 - s interval. Also show that for any motion, V B/A + V C/B + V A/C = 0Explanation / Answer
Vb - Va = 4cos50(i) - 4sin50(j) => Vb = 8.57(i) + 3.06(j)
Va/c = Va - Vc = 6(i) - [ 5sin30(-i) + 5cos30(j) ]
= 8.5(i) - 4.325(j)
Vc/b = Vc - Vb = [ 5sin30(-i) + 5cos30(j) ] - [ 8.57(i) + 3.06(j)] = -6.07(i) + 1.265(j)
c.) the change in position of B with respect to C during a 10-s interval. Also show that for any motion
= [-6.07(i) + 1.265(j) ]* 10
d.)
From above values we can see that V B/A + V C/B + V A/C = 0
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