vectors

A steel wire 40 m long is suspended between two fixed points 20 m apart.
A force of 375 N pulls the wire down at a point 15 m from one end of the
wire. State the tension in each part of the wire.

Texbook answer: 375N, 0N

  1. 👍
  2. 👎
  3. 👁
  1. Draw the position diagram, showing the actual suspension
    I have a triangle PAQ, so that PQ = 20, PA = 15 and AQ = 25
    notice that 15:20:25 = 3:4:5
    so the triangle actually is right-angled, with angle P = 90°
    Thus PA is vertical, as long as PQ is horizontal, and all the tension
    will be in string PA
    So the tension in PA is 375N and the tension in string AQ will be 0 N.

    Not sure if the author of the question had that in mind, since it makes the
    question rather trivial.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    Consider two copper wires with the same cross-sectional area. Wire A is twice as long as wire B. How do the resistivities and resistances of the two wires compare? CHECK ALL THAT APPLY Wire A and wire B have the same resistance.

  2. Physics

    A heavy piece of hanging sculpture is suspended by a 90 cm long, 5.0 g steel wire. When the wind blows hard, the wire hums at its fundamental frequency of 80 Hz. What is the mass of the sculpture? --- Velocity=(0.9)(80)=72m/s

  3. physics

    A piano tuner stretches a steel piano wire with a tension of 765 N. The steel wire has a length of 0.400 m and a mass of 3.00 g. What is the frequency f_1 of the string's fundamental mode of vibration? What is the number of the

  4. Physics

    A steel wire, 150 m long at 10°C, has a coefficient of linear expansion of 11 ´ 10-6/C°. Give its change in length as the temperature changes from 10°C to 45°C.

  1. physics

    A solid copper object hangs at the bottom of a steel wire of negligible mass. The top end of the wire is fixed. When the wire is struck, it emits sound with a fundamental frequency of 300 Hz. The copper object is then submerged in

  2. physics

    A 4.0-m-long steel wire has a cross-sectional area of 0.050cm2. Its proportional limit has a value of 0.0016 times its Young's modulus. Its breaking stress has a value of 0.0065 times its Young's modulus. The wire is fastened at

  3. Physics

    The Golden Gate Bridge in San Francisco has a main span of length 1.28 km, one of the longest in the world. Imagine that a steel wire with this length and a cross-sectional area of 4.00 x 10-6 m^2 is laid on the bridge deck with

  4. physics

    A light rigid bar is suspended horizontally from two vertical wires, one of steel and one of brass. Each wire is 2.00m long. The diameter of the steel wire is 0.60mm and the length of the bar AB is 0.20m. When a mass of 10.0kg is

  1. Physics

    A large rock that weighs 164.0 N is suspended from the lower end of a thin wire that is 3.00 m long. The density of the rock is 3200 kg/m3. The mass of the wire is small enough that its effect on the tension in the wire can be

  2. Math

    Use place value to solve Pablo has a piece of wire that is 0.08 Meters long. Beth has a piece of wire that is 10 times as long as Pablo's wire.Li's wire is 1/10 as long as Pablo's wire. How long is Beth's wire? How long is Li's

  3. physics

    Find the diameter of an 18 m(L) long steel wire that will stretch no more than.009 m AL when a load stress of 3800 N is hung on the end of the wire. The Young's Modulus for steel wire is 200 x 109 N/m2?

  4. physics

    a metal wire 1.0 mm in diameter and 2.0 m long hangs vertically with a 5.0 kg mass suspended from it. if the wire stretches 1.2 mm under the tension, what is the value of the young's modulus for metal?

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