302 - Mechanics part 1 Questions Answers

Two balls A and B are simultaneously released on two frictionless inclined planes from the position shown. The inclined planes have equal inclinations. The balls pass through a particular horizontal level 12s and 4s after they were released. How long after they were released will they be closest to each other?

 A projectile is fired with velocity u at entrance A of a horizontal tunnel of length L and height H. The minimum value of u for which projectile will reach the other end of the tunnel without touching the top of the tunnel is 

Concept of pseudo force

A small body of mass m=0.30kg${\displaystyle m=0.30kg}$ starts sliding down from the top of a smooth sphere of radius R=1.00m${\displaystyle R=1.00m}$. The sphere rotates with a constant angular velocity ω=6.0rad/s${\displaystyle \omega =6.0rad/s}$ about a vertical axis passing through its centre. Find the centrifugal force of inertia and the Coriolis force at the moment when the body breaks off the surface of the sphere in the reference frame fixed to the sphere.