Question
The force acting on a body moving along -axis varies with the position of the particle as shown in the fig
The body is in stable equilibrium at
-
-
- Both and
- Neither nor
The correct answer is:
When particle moves away from the origin then at position force is zero and at , force is positive (repulsive in nature) so particle moves further and does not return back to original position the equilibrium is not stable Similarly at position force is zero and at , force is negative (attractive in nature) So particle return back to original position the equilibrium is stable
Related Questions to study
A frictionless track ends in a circular loop of radius . A body slides down the track from point which is it height . Maximum value of for the body to successfully complete the loop is
A frictionless track ends in a circular loop of radius . A body slides down the track from point which is it height . Maximum value of for the body to successfully complete the loop is
Velocity-time graph of a particle of mass 2 kg moving in a straight line is as shown in figure. Work done by all forces on the particle is
Velocity-time graph of a particle of mass 2 kg moving in a straight line is as shown in figure. Work done by all forces on the particle is
Domain of definition of the function, is
Domain of definition of the function, is
If represent the work done in moving a particle from A to B along three different paths 1, 2 and 3 respectively(as shown)in the gravitational field of a point mass m. Find the correct relation between
If represent the work done in moving a particle from A to B along three different paths 1, 2 and 3 respectively(as shown)in the gravitational field of a point mass m. Find the correct relation between
Given below is a graph between a variable force (along -axis) and the displacement (along -axis) of a particle in one dimension. The work done by the force in the displacement interval between and is
Given below is a graph between a variable force (along -axis) and the displacement (along -axis) of a particle in one dimension. The work done by the force in the displacement interval between and is
A particle of mass moving with a velocity makes an elastic one dimensional collision with a stationary particle of mass establishing a contact with it for extremely small time . Their force of contact increases from zero to linearly in time , remains constant for a further time and decreases linearly from to zero in further time as shown. The magnitude possessed by is
A particle of mass moving with a velocity makes an elastic one dimensional collision with a stationary particle of mass establishing a contact with it for extremely small time . Their force of contact increases from zero to linearly in time , remains constant for a further time and decreases linearly from to zero in further time as shown. The magnitude possessed by is
Let be a set containing 10 distinct elements, then the total number of distinct functions from to is-
The domain is defined as the set which is to input in a function. We say that input values satisfy a function. The range is defined as the actual output supposed to be obtained by entering the domain of the function.
Co-domain is defined as the values that are present in the right set that is set Y, possible values expected to come out after entering domain values.
Let be a set containing 10 distinct elements, then the total number of distinct functions from to is-
The domain is defined as the set which is to input in a function. We say that input values satisfy a function. The range is defined as the actual output supposed to be obtained by entering the domain of the function.
Co-domain is defined as the values that are present in the right set that is set Y, possible values expected to come out after entering domain values.