Question

if the ball is in motion over a smooth solid sphere the normal reaction at the topmost point is ___

Answer 1

Explanation:

Keeping in mind that, when it leaves the contact the particle is no more under the influence of the Normal force. Using the conservation of energy till the last point of contact (ie. θ) we get:

K

f

−K

i

=U

i

−U

f

2

1

mv

2

−0=mgr(1−cosθ)....(1)

where r is the radius of the sphere and m is the mass of the particle. Now using the force balance equation at the point when the particle has acquired this velocity v and lose its point of c

Using both equations (1) and (2), we finally get:

cosθ=2−2cosθ

⇒θ=cos

−1

(

3

2

)