Home
Class 11
MATHS
A beam is supported at its ends by suppo...

A beam is supported at its ends by supports which are 12 metres apart. Since the load is concentrated at its centre, there is a deflection of 3 cm at the centre and the deflected beam is in the shape of a parabola. How far from the centre is the

Text Solution

Verified by Experts

Let equation of parabola is `x^(2)=ay`
It passes through the point A (600,3)
`:." "(600)^(2)=4a(3)`
`rArr" "4a=120000`
Therefore, `x^(2)=120000y`
Let at 1 cm deflection there is a point B then BO=2cm
Let the co-ordinates of B are (h,2).

B lies on parabola (1)
`:." "h^(2)=120000xx2=240000`
`rArr" "h=200sqrt(6)cm=2sqrt(6)m`
Therefore, 1 cm deflection is at a distance of `2sqrt(6)m`
from the centre.
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11A|37 Videos

  • CONIC SECTION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11B|19 Videos

  • CONIC SECTION

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|8 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|20 Videos

  • INTRODUCTION OF THREE DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|6 Videos

Similar Questions

Explore conceptually related problems

A beam is supported at its ends by supports which are 12 metres apart. Since the load is connected at its centre, there is a deflection of 3 cm at the centre and the deflected beam is in the shape of a parabola. How far from the centre is the deflection 1 cm?

A beam of metal supported at the two edges is loaded at the centre. The depression at the centre is proportional to

The radius of a circle is 13 cm and the length of one of its chords is 10 cm. Find the distance of the chord from the centre.

The radius of a circle is 13 cm and the length of one of its chords is 24 cm. Find the distance of the chord from the centres.

The radius of a circle is 8cm and the length of one of its chords is 12cm. Find the distance of the chord from the centre.

The diameter and a chord of a circle have a common end point. If the lengt of the diameter is 20 cm and the length of the chord is 12 cm, how far is the chrod from the centre of the circle?

Consider the energy density in a solenoid at its centre and that near its ends. Which of the two is greater?

Consider the self-inductance per unit length of a solenoid at its centre and that near its ends. Which of the two is greater?

over the towers of a bridge a cable is hung in the form of a parabola, have their tops 30 meters above the road way are 200 meters apart. If the cable is 5 meters above the road way at the centre of the bridge, then the length of the vertical supporting cable 30 meters from the centre is

A chord of length 24 cm is at a distance of 5 cm from the centre of the circle. Find the length of the chord of the same circle which is at a distance of 12 cm from the centre.