English
Karnataka Board PUCPUC Science Class 11

Is stress a vector quantity?

Advertisements
Advertisements

Question

Is stress a vector quantity?

Short/Brief Note
Advertisements

Solution

Stress = Magnitude of internal reaction force/Area of cross-section

Hence, stress is not a scalar quantity not a vector quantity, it is a tensor quantity.

shaalaa.com
  Is there an error in this question or solution?
Chapter 9: Mechanical Properties of Solids - Exercises [Page 69]

APPEARS IN

NCERT Exemplar Physics [English] Class 11
Chapter 9 Mechanical Properties of Solids
Exercises | Q 9.15 | Page 69

RELATED QUESTIONS

A rigid bar of mass 15 kg is supported symmetrically by three wires each 2.0 m long. Those at each end are of copper and the middle one is of iron. Determine the ratio of their diameters if each is to have the same tension.


When a block a mass M is suspended by a long wire of length L, the elastic potential potential energy stored in the wire is `1/2`  × stress × strain × volume. Show that it is equal to `1/2`  Mgl, where l is the extension. The loss in gravitational potential energy of the mass earth system is Mgl. Where does the remaining `1/2` Mgl energy go ? 


When the skeleton of an elephant and the skeleton of a mouse are prepared in the same size, the bones of the elephant are shown thicker than those of the mouse. Explain why the bones of an elephant are thicker than proportionate. The bones are expected to withstand the stress due to the weight of the animal.


The yield point of a typical solid is about 1%. Suppose you are lying horizontally and two persons are pulling your hands and two persons are pulling your legs along your own length. How much will be the increase in your length if the strain is 1% ? Do you think your yield point is 1% or much less than that?


When some wax is rubbed on a cloth, it becomes waterproof. Explain.


A heave uniform rod is hanging vertically form a fixed support. It is stretched by its won weight. The diameter of the rod is


A load of 10 kg is suspended by a metal wire 3 m long and having a cross-sectional area 4 mm2. Find (a) the stress (b) the strain and (c) the elongation. Young modulus of the metal is 2.0 × 1011 N m−2

 

A spiral spring is stretched by a weight. The strain will be: 


A rod has a radius of 100 mm and a length of 10 cm. A 100 N force compress along its length. Calculate the longitudinal stress developed in the rod.


A mild steel wire of length 2L and cross-sectional area A is stretched, well within elastic limit, horizontally between two pillars (Figure). A mass m is suspended from the mid point of the wire. Strain in the wire is ______.


Consider a long steel bar under a tensile stress due to forces F acting at the edges along the length of the bar (Figure). Consider a plane making an angle θ with the length. What are the tensile and shearing stresses on this plane

  1. For what angle is the tensile stress a maximum?
  2. For what angle is the shearing stress a maximum?

The value of tension in a long thin metal wire has been changed from T1 to T2. The lengths of the metal wire at two different values of tension T1 and T2 are l1 and l2 respectively. The actual length of the metal wire is ______.


A steel wire having a radius of 2.0 mm, carrying a load of 4 kg, is hanging from a ceiling. Given that g = 3.1πms-2, what will be the tensile stress that would be developed in the wire?


If 'S' is stress and 'Y' is young's modulus of the material of a wire, the energy stored in the wire per unit volume is ______.


The area of the cross-section of the rope used to lift a load by a crane is 2.5 × 10-4m2. The maximum lifting capacity of the crane is 10 metric tons. To increase the lifting capacity of the crane to 25 metric tons, the required area of cross-section of the rope should be ______.

(take g = 10 ms-2)


What is an elastomer?


Strain is defined as the ratio of ______.


The SI unit of stress is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×