(33%) Problem 3: figure shows a top view of this looking down onto the crate (gr

Question

(33%) Problem 3: figure shows a top view of this looking down onto the crate (gravity would be acting into the page). Man one and man two apply forces Fiand F2, at angles of and 02 respectively, with the goal of moving the crate in the x-direction. A resultant force of F, 315 lbs in the x-direction is required to accomplish this. All of the forces are in the xy plane. If man one applies a force of F 18 bs at an angle of 18 from the positivex-axis, complete the following steps to determine the magnitude and angle of the force man two must apply Otheexperita com 2e Part al Write an expression for Fjust as the crate startsto move using the sum of the forces in therdirection in terms of the variables Eu E2 and 62 20% Part Write an equation for the sum of forces in the y direction when the crate just starts to move using the specified coordinate system. Put your answer in terms of the variables Fi.F2.0, and 02. 20% Part (c) Combine these two equations to develop an expression for tan(02 in terms of Fr Fr.F2.and 0, Remember that the crate does not move along the y-direction. P 20% Part (d) Solve numerically for the value of 02 in degrees. Grade Summary Potential 100% sino coso tano 7 8 9 Attempts remaining: 3 cota no asino aco per atlempt) atano acotan0 si 1 2 3 cosh00 tanh0 cotanh0 grees Radians I give up Submit

Explanation / Answer

(a) Fr = F1*cos1 + F2*cos2

(b) Fy = F1*sin1 - F2*sin2
(and Fy = 0)

(c) From (a) we have cos2 = (Fr - F1*cos1) / F2
and from (b), sin2 = F1*sin1 / F2,
so (b) / (a) = sin2 / cos2

=> tan2 = F1*sin1 / (Fr - F1*cos1)

(d) 2 = 21.1455 degrees

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