Vectors

A mass of 15kg is supsended by 2 cords from a ceiling. the cords have lenghts of 15cm and 20cm, and the distance between the points wheere they are attached on the ceiling ia 25cm. determine the tension in each of the 2 cords.

can someone please tell me the steps to take inorder to solve this question. Thanks in advance:)

  1. 👍
  2. 👎
  3. 👁
  1. Draw a position diagram showing the cords
    by cosine law, find the angle between the 25 and 20 cm cords
    15^2 = 25^2 + 20^2 - 2(25)(20)cosß
    ß = 36.87º

    AHHH, just realized our triangle is right-angled since 25^2 = 15^2+20^2
    so the other angle is 53.13º , lucky.

    Now draw a vector diagram with a vertical line to represent the 15 kg,
    from the top of that vertical line draw a line parallel to the 15 cm cord, and from the bottom of the vertical line, draw a line parallel to the 20 cm cord until they meet.
    This should also be a right-angled triangle with the top angle 53.13, and the bottom angle 36.87 and 15 as the hypotenuse
    Let T1 be the tension in the 15 cm cord and T2 the tension in the 20 cm cord
    cos 53.13 = T1/15
    T1 = 9 kg

    and in the same way
    T2 = 15 cos 36.87 = 12 kg

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    A pulley is suspended by a Cord (C). on one end of the pulley there is a 1.2 kg block and on the other is a 3.2 kg block.Determine the tension in this cord after the masses are released and before one hits the ground. Ignore the

  2. phyics help nedded

    In the figure below, three ballot boxes are connected by cords, one of which wraps over a pulley having negligible friction on its axle and negligible mass. The masses are mA = 24.0 kg, mB = 40.0 kg, mC = 30.0 kg. (a) When the

  3. Chemistry

    Typically, when a person coughs, he or she first inhales about 2.50 L of air at 1.00atm and 25 degreesC. The epiglottis and the vocal cords then shut, trapping the air in the lungs, where it is warmed to 37 degrees C and

  4. Engg Mechanics

    Blocks A and B of weight 200N and 100N respectively, rest on a 30 inclined plane and are attached to the post which is held perpendicular to the plane by force P, parallel to the plane, Assume that all surfaces are smooth and that

  1. Physics

    A loudspeaker of mass 25.0 kg is suspended a distance of 1.00 m below the ceiling by two cables that make equal angles with the ceiling. Each cable has a length of 2.50 m . What is the tension in each of the cables?

  2. science

    the 0.5lb ball is shot from the spring device shown. Determine the smallest stiffness k which is required to shoot the ball a maximum distance s=30in up the plane after the spring is pushed back 3in and the ball is released from

  3. Physics

    A loudspeaker of mass 16.0 kg is suspended a distance of h = 2.00 m below the ceiling by two cables that make equal angles with the ceiling. Each cable has a length of l = 2.90 m What is the tension T in each of the cables? Use

  4. physics help needed very urgent !!!

    The figure shows four penguins that are being playfully pulled along very slippery (frictionless) ice by a curator. The masses of three penguins and the tension in two of the cords are m1 = 10.5 kg, m3 = 14.7 kg, m4 = 22.05 kg, T2

  1. Physics

    If a force of 15kg. wt acts on a mass of 14 kg, what will be its velocity after 8 seconds?

  2. Physics

    A 10kg mass is suspended as shown: i.gyazo[dotcom]/47dc49d5ec1eebe950472dba5f692e70.png (remove the brackets) What is the tension in the cord between points A and B? What is the tension in all of the cords? Thanks for the help, I

  3. physics

    1.)The apparent weight of a passenger in an elevator is greater than his true weight? Why is that? 2.) The radius of larger circle is twice that of a small circle. Two identical stones are attached to cords that are being whirled

  4. math

    how many cords of wood could you fit in a room that is 3yards long,3 yards wide,,and 2 yards high?

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