Question

A block is projected with a speed `v_(0)` strikes the point pf projection after describing the path as shown in figure by dotted line. If friction exists for the path of length d and the vertical circular path is smooth, assuming coefficient of frictioin to be `mu`

(A) Find `v_(0)`?
(B) What is the minimum value of `v_(0)` ?

Answer 1

`(A)sqrt((d^(2)g)/(4R)+2g(mud+2R)),(B)sqrt((4R+2mud))g`