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Problem 5: A crate sits on a wooden horizontal surface (a wooden floor). The 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 F, and F2, at angles of 0, and 02 respectively, with the goal of moving the crate in the x-direction. A resultant force of F, = 32 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 = 23 lbs at an angle of 0, = 22° from the 01 positive x-axis, complete the following steps to determine the magnitude and angle of the force man two must apply. 02 Part (a) Write an expression for F, just as the crate starts to move using the sum of the forces in the x-direction in terms of the variables F1, F2, and 02- Expression : Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(o), cos(8), cos(01), cos(02), sin(a), sin(4), sin(0), sin(0,), sin(02), a, F1, F2, F,, t Part (b) 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 F1, F2, 01, and 0,. Expression EF, = V(F, cos o, + F, cos ®,) + (E, sno.- sin 0,) E. Cos Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(o), cos(0), cos(01), cos(02), sin(a), sin(4), sin(0), sin(01), sin(02), a, F1, F2, Fr, t

Problem 5: A crate sits on a wooden horizontal surface (a wooden floor). The 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 F, and F2, at angles of 0, and 02 respectively, with the goal of moving the crate in the x-direction. A resultant force of F, = 32 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 = 23 lbs at an angle of 0, = 22° from the 01 positive x-axis, complete the following steps to determine the magnitude and angle of the force man two must apply. 02 Part (a) Write an expression for F, just as the crate starts to move using the sum of the forces in the x-direction in terms of the variables F1, F2, and 02- Expression : Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(o), cos(8), cos(01), cos(02), sin(a), sin(4), sin(0), sin(0,), sin(02), a, F1, F2, F,, t Part (b) 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 F1, F2, 01, and 0,. Expression EF, = V(F, cos o, + F, cos ®,) + (E, sno.- sin 0,) E. Cos Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(o), cos(0), cos(01), cos(02), sin(a), sin(4), sin(0), sin(01), sin(02), a, F1, F2, Fr, t

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Forces & Motion Q5. Please answer rest of the subparts and explain step by step and reasoning. Part b is answered correctly.

Problem 5: A crate sits on a wooden horizontal surface (a wooden floor). The 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 F, and F2, at angles of 0, and 02 respectively, with the goal of moving the crate in the x-direction. A resultant force of F, = 32 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 F1 = 23 lbs at an angle of 01 = 22° from the positive x-axis, complete the following steps to determine the magnitude and angle of the force man two must apply. F, 1 m F, 2 Part (a) Write an expression for Fr just as the crate starts to move using the sum of the forces in the x-direction in terms of the variables F,, F2, 01, and 02. Expression : F,= Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(4), cos(6), cos(0,), cos(02), sin(a), sin(4), sin(0), sin(01), sin(02), a, F1, F2, F, t Part (b) 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 F1, F2, 01, and 02. Expression : EF y (F, cos 0, + Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(4), cos(0), cos(01), cos(02), sin(a), sin(¢), sin(0), sin(01), sin(02), a, F1, F2, Fr, t Part (c) Combine these two equations to develop an expression for tan(0,) in terms of F,, F 1, F2, and 0 ,. Remember that the crate does not move along the y-direction. Expression : tan(02) = Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(4), cos(0), cos(01), cos(02), sin(a), sin($), sin(0), sin(01), sin(02), a, F1, F2, Fr, t Part (d) Solve numerically for the value of 02 in degrees. Numeric : A numeric value is expected and not an expression. 02 = Part (e) Using this value for 02 and other known values, solve numerically for the value of F2 in lbs. Numeric : A numeric value is expected and not an expression. F2 =
Transcribed Image Text:Problem 5: A crate sits on a wooden horizontal surface (a wooden floor). The 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 F, and F2, at angles of 0, and 02 respectively, with the goal of moving the crate in the x-direction. A resultant force of F, = 32 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 F1 = 23 lbs at an angle of 01 = 22° from the positive x-axis, complete the following steps to determine the magnitude and angle of the force man two must apply. F, 1 m F, 2 Part (a) Write an expression for Fr just as the crate starts to move using the sum of the forces in the x-direction in terms of the variables F,, F2, 01, and 02. Expression : F,= Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(4), cos(6), cos(0,), cos(02), sin(a), sin(4), sin(0), sin(01), sin(02), a, F1, F2, F, t Part (b) 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 F1, F2, 01, and 02. Expression : EF y (F, cos 0, + Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(4), cos(0), cos(01), cos(02), sin(a), sin(¢), sin(0), sin(01), sin(02), a, F1, F2, Fr, t Part (c) Combine these two equations to develop an expression for tan(0,) in terms of F,, F 1, F2, and 0 ,. Remember that the crate does not move along the y-direction. Expression : tan(02) = Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(4), cos(0), cos(01), cos(02), sin(a), sin($), sin(0), sin(01), sin(02), a, F1, F2, Fr, t Part (d) Solve numerically for the value of 02 in degrees. Numeric : A numeric value is expected and not an expression. 02 = Part (e) Using this value for 02 and other known values, solve numerically for the value of F2 in lbs. Numeric : A numeric value is expected and not an expression. F2 =
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Given:

F1 = 23 lbsθ1=22°Fr=32 lbs  along x-axisFy=0 lbs

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