A particle is moving in a circular path of radius r. The displacement after half a circle would be:

The required velocity is √(gr)

Why are you getting the constant because the limits during integration are used?

(b) The magnitude of the frictional force on the car is greater than mv2/r  (c) The friction coefficient between the ground and the car is not less than α/g.  Explanation:  Since the circular...

(c) IA <IB   Explanation:  Let the density of iron plate be ρ.  Mass of first disc m = πr²tρ  M.I. = IA = ½mr² == ½πr²tρr² = ½πr4tρ  Mass of second disc = M =...

(c) on a circle

(a) periodic

(d) none of them. EXPLANATION:   Though the particle repeats its motion but not at a regular interval (Since the speed is continuously increasing), so (a) is not true.  (b) and (c) are...

(iii) Elongated path

(b) The magnitude of the frictional force on the car is greater than mv2/r  (c) The friction coefficient between the ground and the car is not less than α/g.  Explanation:  Since the circular...

(a) periodic EXPLANATION:   Since a uniform circular motion repeats itself at a regular time interval.             (b) not true because it is not a to and fro motion.   ...