A traffic light is suspended from two cables. In the figure below
A traffic light is suspended from two cables. In the figure below, the tension in the cable on the right (F2t) is 420 N, θ1 = 30° and θ2 = 50°.
(a) Draw a FBD for the traffic light. Be sure to label all angles and decompose forces into r and y components, as necessary.
(b) What are ax and ay?
(c) Calculate the values of F2tx and F2ty
(d) Keeping all z and y components on separate sides of the page, use Newton's Second Law in the I and y directions to find the force of the cable on the left (F1t).
(e) Find the mass of the traffic light.
Homework Answers
A 12.5 kg traffic light is suspended by 2 cables as shown
A 12.5 kg traffic light is suspended by 2 cables as shown. The angles θ1=θ2=15º. Determine the tension in the cables in Newtons.
A 18.8 kg traffic light is suspended from two cables as shown in the figure below.
A 18.8 kg traffic light is suspended from two cables as shown in the figure below. Find the tension in each cable in newtons. left cable _______ right cable _______
PRACTICE IT Use the worked example above to help you solve this problem. A traffic light...
PRACTICE IT Use the worked example above to help you solve this problem. A traffic light weighing 1.08 x 102 N hangs from a vertical cable tied to two other cables that are fastened to a support, as shown in Figure (a). The upper cables make angles of θ1-35.5° and θ2 54.5° with the horizontal. Find the tension in each of the three cables T3 108 N EXERCISE HINTS: GETTING STARTED I rMSTUCK! Use the values from PRACTICE IT to...
6. A traffic light weighing 139 N hangs from a cable tied to two other cables...
6. A traffic light weighing 139 N hangs from a cable tied to two other cables fastened to a support as the figure. The upper cables make angles of 0 = 40.0° and Oz 60.0° with the horizontal. Find all tensions in these cables.
A traffic light of mass m=12.5kg hangs from a cable tied to two other
A traffic light of mass m=12.5kg hangs from a cable tied to two other cables fastened to a support. The upper cables make angles of 37 and 53 with the horizontal (see figure below). Find the tension in the three cables.
27.2 kg mass is suspended by the cable assembly as shown in the figure below. The...
27.2 kg mass is suspended by the cable assembly as shown in the figure below. The cables have no mass of their own. The cable to the left (cable 1) of the mass makes an angle, theta θ1 = 0.00° with the horizontal, and the cable to the right (cable 2) makes an angle, theta θ2 = 38.5°. If the mass is at rest what is the tension in each of the cables, T1 and T2? The acceleration due to...
A 27.2 kg mass is suspended by the cable assembly as shown in figure below. The...
A 27.2 kg mass is suspended by the cable assembly as shown in
figure below. The cables have no mass of their own. The cable to
the left (cable 1) of the mass makes an angle, θ1= 0.00 degrees
with the horizontal, and the cable right (cable 2) makes an angle,
θ2=36.4 degrees. If the mass is at rest what is the tension in each
of the cables, T1 and T2? The acceleration due to gravity is g =
9.81...
Problem three: An electrician is suspending a traffic light between two poles using cables as shown....
Problem three: An electrician is suspending a traffic light between two poles using cables as shown. Three physics students who are watching make the following contentions: Cable A Anders: “For this arrangement, the tension has to be the same in both cables, since they each support half the weight of the traffic light." Baji: "I think the tension in the left cable has to be larger because it is Cable B more vertical. The vertical component of its tension has...
1. A uniform 40.0-kg scaffold of length 6.0 m is supported by two light cables, as...
1. A uniform 40.0-kg scaffold of length 6.0 m is supported by two light cables, as shown below. An 80.0-kg painter stands 1.0 m from the right end of the scaffold, and his 2.5 kg painting equipment is 1.5 m from the left end. a) Draw an FBD of the scaffold and clearly label all the forces acting on the scaffold b) Summing the torques acting on the scaffold, find the tension in the right-hand cable. Summing the forces acting...
A weight of 800 pounds is suspended from two cables, as shown in the figure. What...
A weight of 800 pounds is suspended from two cables, as shown in the figure. What are the tensions in the two cables? Round to one decimal place. 35° 50° 800 pounds Left cable tension: Right cable tension:
PRACTICE IT Use the worked example above to help you solve this problem. A traffic light weighing 1.08 x 102 N hangs from a vertical cable tied to two other cables that are fastened to a support, as shown in Figure (a). The upper cables make angles of θ1-35.5° and θ2 54.5° with the horizontal. Find the tension in each of the three cables T3 108 N EXERCISE HINTS: GETTING STARTED I rMSTUCK! Use the values from PRACTICE IT to...
6. A traffic light weighing 139 N hangs from a cable tied to two other cables fastened to a support as the figure. The upper cables make angles of 0 = 40.0° and Oz 60.0° with the horizontal. Find all tensions in these cables.
A 27.2 kg mass is suspended by the cable assembly as shown in
figure below. The cables have no mass of their own. The cable to
the left (cable 1) of the mass makes an angle, θ1= 0.00 degrees
with the horizontal, and the cable right (cable 2) makes an angle,
θ2=36.4 degrees. If the mass is at rest what is the tension in each
of the cables, T1 and T2? The acceleration due to gravity is g =
9.81...
Problem three: An electrician is suspending a traffic light between two poles using cables as shown. Three physics students who are watching make the following contentions: Cable A Anders: “For this arrangement, the tension has to be the same in both cables, since they each support half the weight of the traffic light." Baji: "I think the tension in the left cable has to be larger because it is Cable B more vertical. The vertical component of its tension has...
1. A uniform 40.0-kg scaffold of length 6.0 m is supported by two light cables, as shown below. An 80.0-kg painter stands 1.0 m from the right end of the scaffold, and his 2.5 kg painting equipment is 1.5 m from the left end. a) Draw an FBD of the scaffold and clearly label all the forces acting on the scaffold b) Summing the torques acting on the scaffold, find the tension in the right-hand cable. Summing the forces acting...
A weight of 800 pounds is suspended from two cables, as shown in the figure. What are the tensions in the two cables? Round to one decimal place. 35° 50° 800 pounds Left cable tension: Right cable tension:
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