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 tha 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 deflection `1` cm ?

Text Solution

Verified by Experts

The correct Answer is:
`x=sqrt(24)=2sqrt(6)` metres
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    NCERT TAMIL|Exercise Exercise 11.1|15 Videos
  • CONIC SECTIONS

    NCERT TAMIL|Exercise Exercise 11.2|12 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT TAMIL|Exercise MISCELLANEOUS EXERCISES ON CHAPTER 24|1 Videos
  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    NCERT TAMIL|Exercise EXERCISE 9.6 (Choose the correct or the most suitable answer from the given four alternatives)|25 Videos

Similar Questions

Explore conceptually related problems

A cube of wood floating in water supports a 300 g mass at the centre of its top face. When the mass is removed, the cube rises by 3 cm. Determine the volume of the cube.

Figure shows a small, plane strip suspended from a fixed support through a string of length l. A continuous beam of monochromati clight is incident horizontally on the strip and is completely absorbed. The energy falling on the strip per unit time is W. (a) Find the deflection of the string from the vertical if the mirror stays in equilibrium. (b) If the strip is deflected slightly from its equilibrium position in the plane of the figure, what will be the time period of the resulting oscillations?

A metre stick is balanced on a knife edge at its centre. When two coins, each of mass 5 gare put one on top of the other at the 12.0 cm mark, the stick is found to be balanced at 45.0 cm, what is the mass of the meter stick?

The magnetic field B due to a current- carrying circular loop of radius 12cm at its center is 0.50 xx (10^-4) T . Find the magnetic field due to this loop at a point on the axis at a distance of 5.0 cm from the centre.

Shows a convex lens of focal length 12 cm lying in a uniform magnetic field B of magnitude 1.2 T parallel to its principal axis. A particle having a charge 2.0X 10^(-3) C and mass 2.0 X 10^(-5) kg is projected perpendiucular to the plane of the diagram with a speed of 4.8 ms ^(-1). The particle moves along a circle with its centre on the principal axis at a distance of 18 cm from the lens. Show that the image of the particle goes along a circle end find the radius of thet circle.

The pulley shown in figure has a radius of 20 cm and moment of inertial 0.2 kg-m^2. The string going over it is attached at one end to a vertical sprign of spring constant 50 N/m fixed from below and supports a 1 kg mas at other end. The system is released from rest with the spring at its natural length. Find the speed of the block when it has desceds through 10 cm. Take g=10 m/s^2 .

The magnetic scalar potential due to a magnetic dipole at a point on its axis situated at a distance of 20cm from its centre is found to be 1.2 xx 10^(-5) T m . Find the magnetic moment of the dipole.

A 40 cm wire having a mass of 3.2 g is stretched between two fixed supports 40.05 cm apart. In its fundamental mode, the wire vibrates at 220 Hz. If the area of cross section of the wire is 1.0 mm^2 , find its Young modulus.

A rod of length 12 cm moves with its ends always touching the coordinate axes. Determine the equation of the locus of a point P on the rod, which is 3 cm from the end in contact with the x-axis.