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, = 33 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 = 18.5 lbs at an angle of 0, = 18° from the 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, 01, and 02- Expression : F, = Select from the variables below your expression. Note that all variables may not be required. cos(a), cos(4), cos(0), cos(01), cos(02), sin(a), sin(4), sin(0), sin(01), sin(02), a, F1, F2, Fr, 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, 0 ,, and 02. Expression : EF, = 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 Part (c) Combine these two equations to develop an expression for tan(2) in terms of F,, F1, F2, and 01. Remember that the crate does not move along the y-direction. Expression: tan(02) =
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, = 33 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 = 18.5 lbs at an angle of 0, = 18° from the 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, 01, and 02- Expression : F, = Select from the variables below your expression. Note that all variables may not be required. cos(a), cos(4), cos(0), cos(01), cos(02), sin(a), sin(4), sin(0), sin(01), sin(02), a, F1, F2, Fr, 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, 0 ,, and 02. Expression : EF, = 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 Part (c) Combine these two equations to develop an expression for tan(2) in terms of F,, F1, F2, and 01. Remember that the crate does not move along the y-direction. Expression: tan(02) =
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 26P: In a tug-of-war game on one campus, 15 students pull on a rope at both ends in an effort to displace...
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Please answer parts a - c
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F1 and F2 are acting on the object at an angle and such that the resultant Fr acts along the x-direction.
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