Two crewmen pull a raft through a lock, as shown in the figure(Figure 1) . One c

ID: 1324647 • Letter: T

Question

Two crewmen pull a raft through a lock, as shown in the figure(Figure 1) . One crewman pulls with a force of 130 N at an angle of 34 ? relative to the forward direction of the raft. The second crewman, on the opposite side of the lock, pulls at an angle of 45 ? .

Part A

With what force should the second crewman pull so that the net force of the two crewmen is in the forward direction?

Express your answer using two significant figures.

(Answers: 103, 102, 92, 65, or 100 kN are incorrect.)

F = _______ kN Two crewmen pull a raft through a lock, as shown in the figure(Figure 1) . One crewman pulls with a force of 130 N at an angle of 34 ? relative to the forward direction of the raft. The second crewman, on the opposite side of the lock, pulls at an angle of 45 ? . Part A With what force should the second crewman pull so that the net force of the two crewmen is in the forward direction? Express your answer using two significant figures. F = _______ kN (Answers: 103, 102, 92, 65, or 100 kN are incorrect.)

Explanation / Answer

force along forward (+x) = Fx
force along (+y) = Fy
=========== i & j unit vectors along +x & +y

Fx = 130 cos 34 (i) + F2 cos 45 (i)
Fy = 130 sin 34 (j) + F2 sin 45 (- j)
-----------------------
Resultant R = Fx + Fy
===============
for given condition
Fy = 0 ..... so that resultant is in forward direction
130 sin 34 (j) - F2 sin 45 (j) = 0
F2 sin 45 = 130 sin 34
F2 = 130 sin 34/sin 45 = 72.69/0.707 = 102.806 N = 0.102806 kN = 0.10 kN ..............answer

Navigate

Two crewmen pull a raft through a lock, as shown in the figure(Figure 1) . One c

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.

Two crewmen pull a raft through a lock, as shown in the figure(Figure 1) . One c

Question

Explanation / Answer

Related Questions

Navigate