Home
Class 12
PHYSICS
A rod of mass, m uniform corss sectional...

A rod of mass, m uniform corss sectional area A and length L is accelerated by applying force F as shown in figure on a smooth surface. If yougs' modulus of elasticity of the material of rod is Y. (Consider x as measured from the right end).

A

Tension in rod as a function of distance x is `(Fx)/(2L)`

B

Strain in rod is `(F)/(2AY)`

C

Elastic potential energy stored in the rod is `(F^(2)L)/(6AY)`

D

There is no stress in rod,.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • RACE

    ALLEN|Exercise Basic Maths (Trigonometry)|22 Videos
  • RACE

    ALLEN|Exercise Basic Maths (Differentiation)|38 Videos
  • RACE

    ALLEN|Exercise Race 21|5 Videos
  • NEWTONS LAWS OF MOTION

    ALLEN|Exercise EXERCISE-III|28 Videos
  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Example|1 Videos

Similar Questions

Explore conceptually related problems

A uniform cylindrical rod of length L and cross-sectional area by forces as shown in figure. The elongation produced in the rod is

A bar of mass m and length l is hanging from point A as shown in the figure . If the Young's modulus of elasticity of the bar is Y and area of cross - section of the wire is A, then the increase in its length due to its own weight will be

A uniform heavy rod of weight W, cross sectional area a and length L is hanging from fixed support. Young modulus of the material of the rod is Y. Neglect the lateral contraction. Find the elongation of the rod.

A uniform cylindrical rod of length L, cross-section area A and Young's modulus Y is acted upon by the force as shown in Fig. 7(CF).3. The elongation of the rod is

A rod of mass m and length l is hinged at one of its end A as shown in figure. A force F is applied at a distance x from A. The acceleration of centre of mass a varies with x as

A uniform rod of mass m length l is attached to smooth hinge at end A and to a string at end B as shown in figure. It is at rest. The angular acceleration of the rod just after the string is cut is :

A uniform rod of mass M and length L is held vertically upright on a horizontal surface as shown in figure. Assuming zero potential energy at the base of the rod, determine the potential energy of the rod.

Two uniform thin rods each of length L and mass m are joined as shown in the figure. Find the distance of centre of mass the system from point O

A uniform rod of length L and mass M is pulled horizontally on a smooth surface with a force F . Determine the elongation of rod if Young's modulus of the material is Y .

A rod of mass m and length l is hinged at one of its ends A as shown in figure. A force F is applied at a distance x from A . The acceleration of centre of mass varies with x as -