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Tia a stone to one end of a string. Take...

Tia a stone to one end of a string. Take the other end in your hand and rotate the string so that the stone moves along a circle as shown in figure 1.1 (a). Are you applying any force on the stone? In which direction is this force acting ? How will you stop this force from acting ? What will be the effect on the stone ?

Text Solution

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As long as we are holding the string, we are pulling the stone towards us, i.e., towards the centre of the circle and are applying a force towards it. The force stops acting if we release the string. In this case, the stone will fly off along a straight line which is the tangent to the circle at the position of the stone when the string is released, because that is the direction of its velocity at that instant of time. Thus, a force acts on any object moving along a circle and it is directed towards the centre of the circle. This is called the centripetal force. 'Centripetal' means centre seeking, i.e., the object tries to go towards the centre of the circle because of this force.
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Knowledge Check

  • A stone is tied to the end of a string of length 1 and whirled in a horizental circle. When the string breaks then stone

    A
    flies radially inwoards
    B
    files radially outwards
    C
    drops down
    D
    flies tangent to the circular path
  • A stone attached to one end of string is revolved around a stick so that the string winds upon the stick and gets shortened. What is conserved ?

    A
    angular momentum
    B
    linear momentum
    C
    kinetic energy
    D
    none of the above
  • A stone is tied to one end of a string 50 cm long is whirled in a horizontal circle with a constant speed. If the stone makes 10 revolutions in 20 s , what is the magnitude of acceleration of the stone

    A
    `493 cm//s`
    B
    `720 cm//s`
    C
    `860 cm//s`
    D
    `990 cm//s`
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