A stone tied at one end of the string is whirled in vertical circle, where is the tension in the string be maximum and minimum? Show in the diagram​

The minimum velocity required for a object to rotate in a verticle plane is v

1

=

5

gr.

So, at bottom point, T

max

=mv

1

2

/r+mg=6mg.

At top-most point velocity is v

2

=gr.

So, T

min

=mv

2

2

/r−mg=0

So T

max

−T

min

=6mg=2×g⇒m=1/3 kg

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.