Home
Class 12
MATHS
A beam is supported at the two ends and ...

A beam is supported at the two ends and is uniformly loaded. The bending moment `M` at a distance `x` from one end is given by (i)`M=(W L)/2x-W/2x^2` (ii) `M=(W x)/3-W/3(x^3)/(L^2)` Find the point at which `M` is maximum in each case.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    RD SHARMA ENGLISH|Exercise All Questions|144 Videos
  • MEAN AND VARIANCE OF A RANDOM VARIABLE

    RD SHARMA ENGLISH|Exercise All Questions|125 Videos

Similar Questions

Explore conceptually related problems

A beam is supported at the two ends and is uniformly loaded. The bending moment M at a distance x from one end is given by M=(W L)/2x-W/2x^2 M=(W x)/3-W/3(x^3)/(L^2) Find the point at which M is maximum in each case.

A beam is supported at the two ends and is uniformly loaded. The bending moment M at a distance x from one end is given by M=(W L)/2x-W/2x^2 . Find the point at which M is maximum.

A beam is supported at the two ends and is uniformly loaded. The bending moment M at a distance x from one end is given by M=(W x)/3-W/3(x^3)/(L^2) . Find the point at which M is maximum.

A beam of weight W supports a block of weight W . The length of the beam is L . and weight is at a distance L/4 from the left end of the beam. The beam rests on two rigid supports at its ends. Find the reactions of the supports.

The maximum intensity in the case of n identical incoherent waves each of intensity 2(W)/(m^2)" is n "32(W)/(m^2) the value of n is.

The kinetic energy of a uniform rod of mass m rotating with constant angular velocit omega about one of its end which is fixed as shown in figure is (momega^(2)l^(2))/(N) find N

Find the derivative of the following functions w.r.t x (i) sqrt(3x -2) for x gt 2/3 (ii) (2x^(2) +3)^(5/3) (x+5)^(-1/3)

In Fig.1.35 a uniform bar of length l m is supported at its ends and loaded by a weight W kgf at its middle. In equilibrium find the reaction R_1 and R_2 at the ends.

A uniform rod mass m and length l is provided at one end and is rotated with constant angular velocity omega in a horizontal plane. Tension in the rod at a distance (√3l/2) from pivoted end is (Assume gravity free space)

If the displacement of a moving point at any time is given by an equation of the form y (t) = a cos omega t + b sin omega t , shown that the motion is simple harmonic . If a = 3 m, b = 4m and omega = 2 : determine the period , amplitude, maximum velocity and maximum acceleration.

RD SHARMA ENGLISH-MAXIMA AND MINIMA-All Questions
  1. Amongst all pairs of positive numbers with product 256, find those ...

    Text Solution

    |

  2. Find two positive numbers whose sum is 14 and the sum of whose squa...

    Text Solution

    |

  3. A beam is supported at the two ends and is uniformly loaded. The ben...

    Text Solution

    |

  4. Show that all the rectangles with a given perimeter, the square has...

    Text Solution

    |

  5. Find all the points of local maxima and local minima of the functio...

    Text Solution

    |

  6. Show that the function f(x)=4x^3-18 x^2+27 x-7 has neither maxima nor ...

    Text Solution

    |

  7. Find all the points of local maxima and minima and the correspondin...

    Text Solution

    |

  8. Find all the points of local maxima and minima and the corresponding...

    Text Solution

    |

  9. Find the points of local maxima, local minima and the points of inf...

    Text Solution

    |

  10. Find the point of local maxima or local minima of the function f(x) ...

    Text Solution

    |

  11. Prove that the area of right-angled triangle of given hypotenuse is...

    Text Solution

    |

  12. Show that the total surface area of a closed cuboid with square bas...

    Text Solution

    |

  13. Find the maximum and the minimum values, if any, of the following f...

    Text Solution

    |

  14. Find the maximum and the minimum values, if any, of the following f...

    Text Solution

    |

  15. Find the maximum and the minimum values, if any, of the following fu...

    Text Solution

    |

  16. Find the maximum and the minimum values, if any, of the following f...

    Text Solution

    |

  17. A rectangle is inscribed in a semi-circle of radius r with one of its ...

    Text Solution

    |

  18. A wire of length 36m is to be cut into two pieces. One of the piece...

    Text Solution

    |

  19. Find the maximum and the minimum values of f(x)=3x^2+6x+8,\ \ x in ...

    Text Solution

    |

  20. Find the maximum and the minimum values of f(x)=-|x-1|+5 for all x ...

    Text Solution

    |