Home
Class 11
PHYSICS
Two force are equal and opposite in dire...

Two force are equal and opposite in direction exerted on a bar (rod) as shown in figure. Hence plane PQ makes an angle `theta` with the cross-section 'a'. Find the tensile stress on PQ.

Text Solution

Verified by Experts

In `Delta PRQ, (PR)/(PQ) = cos theta, ` Area of PR =a
`therefore (a)/(PQ) = cos theta`
`therefore` Tensile stress `= (F.)/(PQ)=(F cos theta)/(a //cos theta) = (F cos ^(2) theta )/(a)`
Promotional Banner

Topper's Solved these Questions

  • MACHANICAL PROPERTIES OF SOLIDS

    KUMAR PRAKASHAN|Exercise SECTION-D|29 Videos

  • MACHANICAL PROPERTIES OF SOLIDS

    KUMAR PRAKASHAN|Exercise SECTION-E|28 Videos

  • MACHANICAL PROPERTIES OF SOLIDS

    KUMAR PRAKASHAN|Exercise SECTION-B|45 Videos

  • LAW OF MOTION

    KUMAR PRAKASHAN|Exercise (QUESTION PAPER) SECTION-D|1 Videos

  • MECHANICAL PROPERTIES OF FLUIDS

    KUMAR PRAKASHAN|Exercise QUESTION PAPER (SECTION -C)|3 Videos

Similar Questions

Explore conceptually related problems

Consider a long steel bar under a tensile stress due to force F acting at the edges along the length of the bar (as shown in figure). Consider a plane making an angle with the length. What are the tensile and shearing stresses on this plane? (a) For what angle is the tensile stress a maximum ? (b) For what angle is the shearing stress a maximum ?

A coherent parallel beam of microwaves of wavelength lambda = 0.5 mm falls on aYoung's double- slit apparatus. The separation between the slits is 1.0 mm. The intensity of microwaves is measured on a screen placed parallel to the plane of the slits at a distance of 1.0 m from it as shown in Fig. 2.42. If the incident beam makes an angle or 30^(@) with the x-axis (as in the dotted arrow shown in the figure), find the y-coordinates of the first minima on either side of the central maximum.

Two rods of equal cross sections area are joined end the end as shown in figure. These are supported between two rigid vertical walls. Initially the rods are unstrained . If temperature of system is increased by DeltaT then thermal stress developed in first rod-

Two rods of equal cross sections area are joined end the end as shown in figure. These are supported between two rigid vertical walls. Initially the rods are unstrained . If temperature of system is increased by DeltaT then junction will not shift if -

Two force each numerically equal to 10 dynes are acting as shown in the figure, then find resultant of these two vectors.

Two force each numerically equal to 10 dynes are acting as shown in the figure, then find resultant of these two vectors.

Two rods of equal cross sections area are joined end the end as shown in figure. These are supported between two rigid vertical walls. Initially the rods are unstrained . If temperature of system is increased by DeltaT then shifting in junction if junction if Y_(1)alpha_(1) gt Y_(2)alpha_(2) is given by -

Two forces, while acting on particle in opposite directions,have the resultant of 10N. If they act at right angles to each other, the resultant is found to be 50N. Find the two forces?

A man starts walking in south direction from point P (as shown in figure) & reaches point Q(PQ = 4m) , then the moves towards east direction & reaches at point R(QR = 3m) . Now he moves towards north direction & reaches at points S(RS = 10m) & finally he moves towards east direction & reaches at point T(ST = Xm) . On the basis of above information, answer the following questions : tan theta is-

A block of mass m rests on a rough horizontl surface as shown in figure (a) and (b). Coefficient of friciton between block and surface is mu . A force F-mg acting at an angle theta with the vertical side of the block. Find the condition for which block will move along the surface.

KUMAR PRAKASHAN-MACHANICAL PROPERTIES OF SOLIDS -SECTION-C
  1. Write the limitation of Hooke's law.

    Text Solution

    |

  2. What are the factors on which modulus of elasticity depends ?

    Text Solution

    |

  3. Two force are equal and opposite in direction exerted on a bar (rod) a...

    Text Solution

    |

  4. Weight is suspended to the end of elastic spring its increaed length d...

    Text Solution

    |

  5. What is the bulk modulus of a perfectly rigid body?

    Text Solution

    |

  6. Why do rail tracks have a 'I shaped girder ?

    Text Solution

    |

  7. Is it possible to double the length of a metallic wire by applying for...

    Text Solution

    |

  8. A cable is cut to half of its original length. What will be the effect...

    Text Solution

    |

  9. When a stress of 10^(8) Nm ^(-2) is applied to a suspended wire its le...

    Text Solution

    |

  10. A metallic rod having area of cross section A, Young's modulus Y, coef...

    Text Solution

    |

  11. The magnitude of Young's modulus proportonal to the increase in length...

    Text Solution

    |

  12. Breaking stress is known as elasticity.

    Text Solution

    |

  13. Quartxz is almost elastic body.

    Text Solution

    |

  14. What is shear modulus for liquid ?

    Text Solution

    |

  15. For a given load (external force) steel is more deformed than rubber.

    Text Solution

    |

  16. When solid body beated, roled, heated or cooled its elastic properties...

    Text Solution

    |

  17. Young's modulus of rigid body is …….

    Text Solution

    |

  18. A wire increase by 10 ^(-6) times its original length when a stress o...

    Text Solution

    |

  19. The value of Poisson's ratio for steel is ……..

    Text Solution

    |

  20. If a body breaks immediately after the elastic limit then this body is...

    Text Solution

    |