Q. 60

# A particle of mas

Answer :

The force exerted by the particle on the sphere is The distance travelled is Given

The mass of the particle is given as m, fixed on a sphere of radius R, where the particle makes a radius with an angle of 300 with vertical.

Formula Used

Using the conservation of static and dynamic energy such as potential and centripetal energy, we have the conservation equation as where

m is the mass of the object, v is the velocity, R is the radius of the circular path, r is the radius of the object, h is the height.

Explanation

(a) The mass of the particle when horizontal is given as  Hence, force exerted by the sphere is .

(b) The distance travelled by the particle in terms of radian/degree is calculated as

The change in potential energy due to the angle of is Equating the kinetic and potential energy together we get the value of velocity as And The equation formed is     Rate this question :

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