A 420-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal, 6.00-m-long, uniform, 150-N rod as indicated in the figure below. The left end of the rod is supported by a hinge and the right end is supported by a thin cable making a 30.0° angle with the vertical. (Assume the cable is connected to the very end of the 6.00-m-long rod, and that there are 2.00 m separating the wall from the sign.) 30.00 ICE CREAM SHOP (a) Find the (magnitude of the) tension T in the cable. In order to find the tension in the cable, impose the requirements that the net torque and net force must satisfy at equilibrium. N (b) Find the horizontal and vertical components of the force exerted on the left end of the rod by the hinge. (Take up and to the right to be the positive directions. Indicate the direction with the sign of your answer.)
A 420-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal, 6.00-m-long, uniform, 150-N rod as indicated in the figure below. The left end of the rod is supported by a hinge and the right end is supported by a thin cable making a 30.0° angle with the vertical. (Assume the cable is connected to the very end of the 6.00-m-long rod, and that there are 2.00 m separating the wall from the sign.) 30.00 ICE CREAM SHOP (a) Find the (magnitude of the) tension T in the cable. In order to find the tension in the cable, impose the requirements that the net torque and net force must satisfy at equilibrium. N (b) Find the horizontal and vertical components of the force exerted on the left end of the rod by the hinge. (Take up and to the right to be the positive directions. Indicate the direction with the sign of your answer.)
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter10: Rotational Motion
Section: Chapter Questions
Problem 74P: A stepladder of negligible weight is constructed as shown in Figure P10.73, with AC = BC = ℓ. A...
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Rotational Equilibrium And Rotational Dynamics
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The tension created on one body during push or pull is known as force.
Question
Transcribed Image Text:A 420-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal, 6.00-m-long, uniform, 150-N rod as indicated
in the figure below. The left end of the rod is supported by a hinge and the right end is supported by a thin cable making a 30.0° angle with
the vertical. (Assume the cable is connected to the very end of the 6.00-m-long rod, and that there are 2.00 m separating the wall from the
sign.)
T
30.00
ICE CREAM
SHOP
(a) Find the (magnitude of the) tension T in the cable.
In order to find the tension in the cable, impose the requirements that the net torque and net force must satisfy at equilibrium. N
(b) Find the horizontal and vertical components of the force exerted on the left end of the rod by the hinge. (Take up and to the right to
be the positive directions. Indicate the direction with the sign of your answer.)
horizontal
In order to find the force acting on the hinge, impose the requirements that the net torque and net force must
satisfy at equilibrium. N
component
vertical
In order to find the force acting on the hinge, impose the requirements that the net torque and net force must
satisfy at equilibrium. N
component
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