Home
Class 11
PHYSICS
Four identical hollow cylindrical column...

Four identical hollow cylindrical columns of mild steel support a big structure of mass 50,000 kg. The inner and outer radil of each column are 30 and 60 cm respectively. Assuming the load distribution to be uniform, calculate the compressional strain of each column.

Text Solution

Verified by Experts

The correct Answer is:
`2.786 xx 10^(-6) `

Load on one hollow cylinder `= 50,000 //4 = 12500 kg. a = PI ( 0.4^(2) -0.3^(@)) = 0.2198 m^(2) ` . Stain `= F//AY = 12500 xx9.8 //0.2198 xx 2 xx 10^(11) = 2.786 xx 10^(-6)`.
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF MATTER

    ICSE|Exercise MODULE 1 (ELASTICITY) FROM BULK MODULUS|8 Videos
  • PROPERTIES OF MATTER

    ICSE|Exercise MODULE 1 (ELASTICITY) FROM RIGIDITY MODULUS AND POISSON.S RATIO|7 Videos
  • PROPERTIES OF MATTER

    ICSE|Exercise MODULE 1 (ELASTICITY)VERY SHORT ANSWER QUESTIONS|8 Videos
  • OSCILLATIONS

    ICSE|Exercise SELECTED PROBLEMS (OSCILLATION IN A TUNNEL BORED THROUGH THE EARTH)|2 Videos
  • SAMPLE QUESTION PAPER - 01

    ICSE|Exercise SECTION - D|12 Videos

Similar Questions

Explore conceptually related problems

Four identical hollow cylindrical cloumns of steel support a big structure of mass 50.000 kg. the inner and outer radii of each column are 30 cm and 60 cm respectively. Assume the load distribution to be uniform , calculate the compressional strain of each column. the Young's modulus of steel is 2.0 xx 10^(11) Pa .

Four identical hollow cylindrical cloumns of steel support a big structure of mass 50.000 kg. the inner and outer radii of each column are 30 cm and 60 cm respectively. Assume the load distribution to be uniform , calculate the compressional strain of each column. the Young's modulus of steel is 2.0 xx 10^(11) Pa .

In the system shown in the figure blocks A and B have mass m_(1)=2 kg and m_(2)=26//7 kg respectiely. Pulley having moment of inertia I=0.11kgm^(-2) can rotate without friction about a fixed axis. Inner and outer radii of pulley are a=10 cm and b=15 cm respectively. B is hanging with the thread wrapped around the pulley, while A lies on a rough inclined plane. Coefficient of friction being mu=sqrt(3)//10 Calculate as. Tension in each thread, and b. Acceleration of each block (g=10 ms^(-2))

In given figure, an ideal gas is trapped between a mercury column and the closed end of a uniform vertical tube. The upper end of the tube is open to the atmosphere. Initially the lengths of the mercury column and the trapped air colume are 12 cm and 50cm respectively. when the tube is titted solwly in a vertical plane through an angle of 30^(@) with horizontal then the new length of air colume is (x)/(41)m . Find x . Assuming the temperature to remains constant. (P_(atm) = 76 cm of Hg)

The apparatus shown in the figure consists of four glass columns connected by horizontal section. The height of two central column B and C are 49 cm each. The two outer columns A and D are open to the temperature. A and C are maintained at a temperature of 95^@C while the columns B and D are maintained at 5^@C . The height of the liquid in A and D measured from the base the are 52.8 cm and 51cm respectively. Determine the coefficient of thermal expansion of the liquid

The apparatus shown in the figure consists of four glass columns connected by horizontal section. The height of two central column B and C are 49 cm each. The two outer columns A and D are open to the temperature. A and C are maintained at a temperature of 95^@C while the columns B and D are maintained at 5^@C . The height of the liquid in A and D measured from the base the are 52.8 cm and 51cm respectively. Determine the coefficient of thermal expansion of the liquid

A thin tube of uniform cross-section is sealed at both ends. It lies horizontally, the middle 5 cm containing mercury and the two equal end containing air at the same pressure P. When the tube is held at an angle of 60^@ with the vetical direction, the length of the air column above and below the mercury column are 46 cm and 44.5 cm respectively. Calculate the pressure P in centimeters of mercury. (The temperature of the system is kept at 30^@C ).

A metal bar 70 cm long and 4.00 kg in mass is supported on two knife edges placed 10 cm from each end. A 6.00 kg weight is suspended at 30 cm from one end. Find the reactions at the knife edges. Assume the bar to be of uniform cross-section and homogeneous.

Ram and Ali have been fast friends since childhood. Ali neglected studies and now has no means to earn money other than a channel whereas Ram has become an engineer. Now both are working in the same factory. Ali uses camel to transport the load within the factory. Due to low salary and degradation in health of camel, Ali becomes worried and meets his friend Ram and discusses his problems. Ram collected some data and with some assumptions concluded the following: i. The load used in each trip is 1000kg and has friction coefficient mu_k=0.1 and mu_s=0.2 . ii. Mass of camel is 500kg . iii. Load is accelerated for first 50m with constant acceleration, then it is pulled at a constant speed of 5ms^-1 for 2km and at last stopped with constant retardation in 50m . iv. From biological data, the rate of consumption of energy of camel can be expressed as P=18xx10^3v+10^4Js^-1 where P is the power and v is the velocity of the camel. After calculations on different issues, Ram suggested proper food, speed of camel, etc. to his friend. For the welfare of Ali, Ram wrote a letter to the management to increase his salary. (Assuming that the camel exerts a horizontal force on the load): Sign of work done by the camel on the load during parts of motion, accelerated motion, uniform motion and retarded motion, respectively are

ICSE-PROPERTIES OF MATTER-MODULE 1 (ELASTICITY)FROM YOUNG.S MODULUS
  1. A wire of length 15m and diameter 4 mm elongates 0.3mm when stretched ...

    Text Solution

    |

  2. A wire one square centimeter area of cross-section is stretched by a f...

    Text Solution

    |

  3. How much will a 30m steel tape 1 cm wide and 0.05 cm thick stretch und...

    Text Solution

    |

  4. Find the stress to be applied to a steel wire to stretched it by 0.025...

    Text Solution

    |

  5. A uniform wire 6m long weighing 0.04 kg elongates by 0.8 mm when stret...

    Text Solution

    |

  6. The breaking stress of a material is 10^(8) Nm^(-2). Find the greatest...

    Text Solution

    |

  7. Find the percentage increase in length of a wire subjected to a stress...

    Text Solution

    |

  8. A steel wire of length 1m and diameter 0.8 mm is kept stretched betwee...

    Text Solution

    |

  9. How much a hollow cylindrical piller of height 6m and external diamete...

    Text Solution

    |

  10. Two wire mode of the same material are subjected to force in the ratio...

    Text Solution

    |

  11. A wire longates by 9 mm when a load of 10kg is suspended from it. What...

    Text Solution

    |

  12. Four identical hollow cylindrical columns of mild steel support a big ...

    Text Solution

    |

  13. To one end of a steel wire of unstretched length 3m and cross-section ...

    Text Solution

    |

  14. A uniform wire of steel of length 2.5m and of density 8000kg m^(-3) we...

    Text Solution

    |

  15. Two parallel wires A and B are fixed to a right support at the upper ...

    Text Solution

    |

  16. Calculate the force required to incrase the length of wire of cross-se...

    Text Solution

    |

  17. A uniform wire of length 6m and a cross-sectional area 1.2 cm^(2) is s...

    Text Solution

    |

  18. A steel wire and copper wire of the same diameter and of length 1m and...

    Text Solution

    |

  19. The maximum stress that can be applied to the material of a wire used ...

    Text Solution

    |