age). Man one and man two apply forces F, and F2, at angles of 0 , and 02 spectively, 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 ane. If man one applies a force of F = 23 lbs at an angle of 01 = 22° from the ositive x-axis, complete the following steps to determine the magnitude and angle of e force man two must apply. m F, art (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, 01, ad 02. xpression: clect from the variables below to write your expression. Note that all variables may not be required. s(a), cos(4), cos(0), cos(0), cos(0,), sin(a), sin(o), sin(0), sin(01), sin(02), a, F1, F2, F,, t art (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 our answer in terms of the variables F1, F2, 01, and 02. xpression : elect from the variables below to write your expression. Note that all variables may not be required. s(a), cos(4), cos(0), cos(01), cos(02), sin(a), sin(o), sin(0), sin(01), sin(02), a, F1, F2, Fr, t art (c) Combine these two equations to develop an expression for tan(0,) in terms of F,, F1, F,, and 0). Remember that the crate does not move ong the y-direction. xpression : n(02) = elect from the variables below to write your expression. Note that all variables may not be required. s(a), cos(4), cos(0), cos(01), cos(02), sin(a), sin(o), sin(0), sin(01), sin(02), a, F1, F2, Fr, t art (d) Solve numerically for the value of 02 in degrees. umeric : A numeric value is expected and not an expression. %3D art (e) Using this value for 0, and other known values, solve numerically for the value of F, in lbs. umeric A numeric value is expected and not an expression.

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Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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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 and explain step by step and reasoning.

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 F 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), сos(Ф), соs(®), cos(®,), cos(0,), sin(a), sin(Ф), sin(®), sin(®j), sin(@2), a, Fj, Fz. 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 y
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,, F1,F2, and 01. 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(0,), 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 F 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), сos(Ф), соs(®), cos(®,), cos(0,), sin(a), sin(Ф), sin(®), sin(®j), sin(@2), a, Fj, Fz. 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 y 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,, F1,F2, and 01. 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(0,), 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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