A chandelier with mass m is attached to the ceiling of a large concert hall by two cables. Because the ceiling is covered with intricate architectural decorations (not indicated in the figure, which uses a humbler depiction), the workers who hung the chandelier couldn't attach the cables to the ceiling directly above the chandelier. Instead, they attached the cables to the ceiling near the walls. Cable 1 has tension T1 and makes an angle of θ1 with the ceiling. Cable 2 has tension T2 and makes an angle of θ2 with the ceiling.

Find an expression for T1, the tension in cable 1, that does not depend on T2.
Express your answer in terms of some or all of the variables m, θ1, and θ2, as well as the magnitude of the acceleration due to gravity g. You must use parentheses around θ1 and θ2, when they are used as arguments to any trigonometric functions in your answer.

I understand the formula to plug all of the information into but I am having trouble canceling out T2 and Ive been working on this problem for two days now any help appreciated!

  1. 👍
  2. 👎
  3. 👁
  1. A store sign of mass 4.57 kg is hung by two wires that each make an angle of θ = 40.7° with the ceiling.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. calc / physics

    Suppose that a 5-foot-long chandelier falls from a 35-foot ceiling and that you are 6 feet tall and standing directly under the chandelier (a) How long do you have to get out of the way when it drops? =-16(t^2)+Vt+h

  2. Calculus/ Vectors

    A 10kg mass is supported by two strings of length 5 m and 7 m attached to two points in the ceiling 10 m apart. Find the tension in each string. Help will be much appreciated! :)

  3. Math

    The first row of a school concert hall has 25 seats and each row after the first has one more seat than the row before it there are 32 rows of seats write the rule or equation for the number of seats in the nth row 35 students


    a 10cm long spring is attached to the ceiling. when a 2.6kg mass is hung from it, the spring stretched to a length of 15cm. what is the spring constant k how long is the spring when a 4.0 kg mass is suspended from it

  1. physics

    An object is attached to the lower end of a 100-coil spring that is hanging from the ceiling. The spring stretches by 0.210 m. The spring is then cut into two identical springs of 50 coils each. As the drawing shows, each spring

  2. AP Physics

    A light string that is attached to a large block of mass 4m passes over a pulley with negligible rotational inertia and is wrapped around a vertical pole of radius r. The system is released from rest, and as the block descends the

  3. Physics

    A massless string runs around two massless, frictionless pulleys, where one pulley is attached to the ceiling, and the other is suspended with a mass m. An object with mass m = 17 kg hangs from one pulley. A force F is exerted on

  4. College Science

    A chandelier is suspended by two identical, vertical chains side by side. The chandelier's mass is m = 5.3 kg. A. If the tension in one chain is represented by T, write an expression for this tension in terms of m and g, the

  1. Physics

    "Two springs are hooked together and one end is attached to a ceiling. Spring A has a spring constant of 25N/m, and spring B has a spring constant of 60N/m. A mass weighing 40.0N is attached to the free end of the spring system to

  2. English

    1. The concert is over. 2. The concert is finished. 3. The concert ended. 4. The concert finished. [Are they the same in meaning? Can we use all the sentences? Which ones are unacceptable? Do you have some more similar

  3. math

    3/4 of seats in a concert hall were occupied. The ratio of adults to children was 7:3. If 90 more adults attended the concert, the number of adults would be 3 times of number of children. How many seats were in the concert hall?

  4. Physics

    a 100 N chandelier hangs from the ceiling on 8 chains. What is the tension force on each chain?

You can view more similar questions or ask a new question.