P. 4849. The total mass of an easily moveable cart and a hemisphere shaped container of radius \(\displaystyle R=0.3\) m attached to the cart is \(\displaystyle M=2\) kg. Initially a point-like object of mass \(\displaystyle m=1\) kg is held at the rim of the hemisphere (such that it touched the rim), and then it is released from rest.
\(\displaystyle a)\) What are the velocities of the small object and the cart when the object descended a height of \(\displaystyle h=R/2\)? (Give both directions and speeds.)
\(\displaystyle b)\) What is the radius of the curvature of the path of the motion of the object with respect to the ground, when it reaches its lowest position? (Friction is negligible everywhere.)
Deadline expired on 10 June 2016.