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Class 10 Class 12
Point mass slides from rest from the topmost point of vertical circle of radius r along the smooth chord. Show that the time of descend of mass along the chord is independent of chord chosen.

Given,

Radius of the circle = r

Consider, an arbitrary chord AB which subtends an angle  with vertical.

Now, the length of chord AB is given by,

Acceleration of mass along inclined plane is,

Now, using the equation of motions,

∴

Since t is independent of , hence time of descend of mass is independent of the choice of chord.

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What is a vector quantity?

A physical quantity that requires direction along with magnitude, for its complete specification is called a vector quantity.
835 Views

Give three examples of vector quantities.

Force, impulse and momentum.
865 Views

What are the basic characteristics that a quantity must possess so that it may be a vector quantity?

A quantity must possess the direction and must follow the vector axioms. Any quantity that follows the vector axioms are classified as vectors.

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Give three examples of scalar quantities.

Mass, temperature and energy
769 Views

What is a scalar quantity?

A physical quantity that requires only magnitude for its complete specification is called a scalar quantity.
1212 Views