circular motion

Question 1

v as cross product

Answer 1

w x r

Question 2

Circular road flat safe turn

Answer 2

root(urg)

Question 3

Circular road banked safe turn(without friction)

Answer 3

root(rgtantheta)

Question 4

circular road banked max speed(with friction)

Answer 4

v = root(rg(u+tantheta/1-utantheta)

Question 5

v at bottom most point of vertical circle to complete it

Answer 5

root(5gl)

Question 6

Condition of leaving the vertical circle

Answer 6

root(2gl) < v < root(5gl)

Question 7

Condition of oscillation in vertical circle

Answer 7

v < root(2gl)

Question 8

Tension in ring while rotating

Answer 8

2T sintheta = dm(w^2 r)

Question 9

For not toppling vmax = ?

Answer 9

root(arg/h)