# Physics

A crate sets on 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 F1 and F2, at angles of θ1 and θ2 respectively, with the goal of moving the crate in the x-direction. A resultant force of Fr = 29 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 = 19.5 lbs at an angle of θ1 = 17° from the positive x-axis, complete the following steps to determine the magnitude and angle of the force man two must apply.

Fr = 29 lbs
F1 = 19.5 lbs
θ1 = 17°

A. Write an expression for Fr, just as the crate starting to move using the sum of the factors in the x direction in terms of the variables F1, F2, θ1, and θ2.

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, θ1, and θ2.

C. Combine these two equations to develop an expression for tan(θ2) in terms of Fr, F1, F2, and θ1. Remember that the crate does not move along the y-direction.

D. Solve numerically for the value of θ2 in degrees.

E. Using this value for θ2 and other known values, solve numerically for the value of F2 in lbs.

1. 👍
2. 👎
3. 👁
1. no

1. 👍
2. 👎
2. NO

1. 👍
2. 👎

## Similar Questions

1. ### physics

Two workers are sliding 450 kg crate across the floor. One worker pushes forward on the crate with a force of 380 N while the other pulls in the same direction with a force of 380 N using a rope connected to the crate. Both forces

2. ### physics

A force of 300N is sufficient to keep a 100_kg wooden crate moving at constant velocity across a wooden floor. what is the coefficient of kinetic friction?

3. ### college physics

A man pushing a crate of mass m = 92.0 kg at a speed of v = 0.860 m/s encounters a rough horizontal surface of length = 0.65 m as in the figure below. If the coefficient of kinetic friction between the crate and rough surface is

4. ### Physics

Two workers are sliding 360 kg crate across the floor. One worker pushes forward on the crate with a force of 380 N while the other pulls in the same direction with a force of 280 N using a rope connected to the crate. Both forces

1. ### Physics

To move a large crate across a rough floor, you push on it with a force at an angle of 21 below the horizontal, as shown in the figure. Find the acceleration of the crate if the applied force is 400 , the mass of the crate is 32

2. ### physics

two workers push horizontally in the same direction on a 250 kg wooden crate that is on a wooden floor .

3. ### physics

A dockworker loading crates on a ship finds that a 20 kg crate, initially at rest on a horizontal surface, requires a 73 N horizontal force to set it in motion. However, after the crate is in motion, a horizontal force of 50 N is

4. ### Physics

Two workers are sliding 310kg crate across the floor. One worker pushes forward on the crate with a force of 440N while the other pulls in the same direction with a force of 230N using a rope connected to the crate. Both forces

1. ### physics

1. A boy drags a wooden crate with a mass of 20 kg, a distance of 12 m, across a rough level floor at a constant speed of 1.50 m/s by pulling on the rope tied to the crate with a force of 50 N. The rope makes an angle of 25¡ã

2. ### physics

You are pushing a 30-kg wooden crate across the floor. The force of sliding friction on the cate is 90 N. How much force, in newtons, must you exert on the crate to keep it moving with constant velocity?

3. ### Physics

A 1200-N crate is being pushed across a level floor at a constant speed by a force of 260 N at an angle of 20.0° below the horizontal. (a) What is the coefficient of kinetic friction between the crate and the floor? (b) If the

4. ### physics

A wooden crate weighs 780 lb. What force is needed to start the crate sliding on a wooden floor when the coefficient of starting friction is 0.40?