Question

18 A body tied to one end of a string is made to revolve in a vertical circle. Derive the
expression for the velocity of the body and tension in the string at any point.
Tension at the bottom and the top of the circle
Minimum velocity at the lowest point so that it is just able to loop the loop and
The minimum velocity at the top​

Answer 1

Answer:

1is the right ans to the day

Answer 2

Answer:

m/r (u2 -3gh + gr)

Explanation:

Let the velocity of the body denoted by 'v' at the vertical circle's point P. Let us assume that the lowest point is denoted as L. At L, the velocity is 'u'.  

By the conservation of energy:  

At point P, the energy is = Energy at point L  

½ mv2 + mgh = ½ mu2  

V2 + 2gh = u2    

At point P, let us consider the centripetal force:    

T - mgcosϴ = mv2/r ------ Equation (1)  

When the values are substituted in equation (1), we obtain:    

T = m/r (u2 -3gh + gr)