A uniform rod is attached to a wall by a hinge at its base. The rod has a mass of 7.5 kg, a length of 2.3 m, is at an angle of 29° above the horizontal, and is held in place by a horizontal cord attached to the other end of the rod and bolted to the wall above the base of the rod. (a) Determine the tension in the cord. 63.715 x Where is a convenient point about which to take the torques? See if you can write an expression for the torque in terms of the force producing the torque and the perpendicular distance from the line of action of the force to the point about which we have specified to determine the torque. See if you can write a second condition of equilibrium that will allow you to determine the tension in the cord. N (b) Determine the horizontal and vertical components of the force exerted on the rod by the hinge. 36.788 x FH = Now that you know the tension in the cord from part (a), see if you can write a first condition of equilibrium statement that will allow you to determine the horizontal component of the force exerted on the rod by the hinge. N 63.715 x Fv = Knowing the mass and hence weight of the rod, see if you can write a first condition of equilibrium statement that will allow you to determine the vertical component of the force exerted on the rod by the hinge. N
A uniform rod is attached to a wall by a hinge at its base. The rod has a mass of 7.5 kg, a length of 2.3 m, is at an angle of 29° above the horizontal, and is held in place by a horizontal cord attached to the other end of the rod and bolted to the wall above the base of the rod. (a) Determine the tension in the cord. 63.715 x Where is a convenient point about which to take the torques? See if you can write an expression for the torque in terms of the force producing the torque and the perpendicular distance from the line of action of the force to the point about which we have specified to determine the torque. See if you can write a second condition of equilibrium that will allow you to determine the tension in the cord. N (b) Determine the horizontal and vertical components of the force exerted on the rod by the hinge. 36.788 x FH = Now that you know the tension in the cord from part (a), see if you can write a first condition of equilibrium statement that will allow you to determine the horizontal component of the force exerted on the rod by the hinge. N 63.715 x Fv = Knowing the mass and hence weight of the rod, see if you can write a first condition of equilibrium statement that will allow you to determine the vertical component of the force exerted on the rod by the hinge. N
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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![**Problem Statement:**
A uniform rod is attached to a wall by a hinge at its base. The rod has a mass of 7.5 kg, a length of 2.3 m, is at an angle of 29° above the horizontal, and is held in place by a horizontal cord attached to the other end of the rod and bolted to the wall above the base of the rod.
**(a) Determine the tension in the cord.**
Input Box: 63.715 [Incorrect]
- **Guidance:** Where is a convenient point about which to take the torques? See if you can write an expression for the torque in terms of the force producing the torque and the perpendicular distance from the line of action of the force to the point about which we have specified to determine the torque. See if you can write a second condition of equilibrium that will allow you to determine the tension in the cord. N
**(b) Determine the horizontal and vertical components of the force exerted on the rod by the hinge.**
Horizontal Component (\(F_H\)):
Input Box: 36.788 [Incorrect]
- **Guidance:** Now that you know the tension in the cord from part (a), see if you can write a first condition of equilibrium statement that will allow you to determine the horizontal component of the force exerted on the rod by the hinge. N
Vertical Component (\(F_V\)):
Input Box: 63.715 [Incorrect]
- **Guidance:** Knowing the mass and hence weight of the rod, see if you can write a first condition of equilibrium statement that will allow you to determine the vertical component of the force exerted on the rod by the hinge. N](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd1eeb19b-bc03-422a-9621-10baa4d8ba0f%2F08ef5e11-67f2-4a5d-8420-f46866d0ec65%2Frncxaim_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
A uniform rod is attached to a wall by a hinge at its base. The rod has a mass of 7.5 kg, a length of 2.3 m, is at an angle of 29° above the horizontal, and is held in place by a horizontal cord attached to the other end of the rod and bolted to the wall above the base of the rod.
**(a) Determine the tension in the cord.**
Input Box: 63.715 [Incorrect]
- **Guidance:** Where is a convenient point about which to take the torques? See if you can write an expression for the torque in terms of the force producing the torque and the perpendicular distance from the line of action of the force to the point about which we have specified to determine the torque. See if you can write a second condition of equilibrium that will allow you to determine the tension in the cord. N
**(b) Determine the horizontal and vertical components of the force exerted on the rod by the hinge.**
Horizontal Component (\(F_H\)):
Input Box: 36.788 [Incorrect]
- **Guidance:** Now that you know the tension in the cord from part (a), see if you can write a first condition of equilibrium statement that will allow you to determine the horizontal component of the force exerted on the rod by the hinge. N
Vertical Component (\(F_V\)):
Input Box: 63.715 [Incorrect]
- **Guidance:** Knowing the mass and hence weight of the rod, see if you can write a first condition of equilibrium statement that will allow you to determine the vertical component of the force exerted on the rod by the hinge. N
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