Question

1. Find the center of mass of a solid cone having radius R and height H.
A particle of unit mass moves on the x axis under the influence of a force field having potential
V = 6x(x - 2).
i. Determine whether the particle is moving in a conservative force field or not.
ii. Determine the position(s) of stable equilibrium of the particle.
111. Find the frequency of small oscillations of the particle about its equilibrium position.
A cart sliding with speed v on a frictionless track starts leaking sand at a constant rate. Does the
cart's speed increase, decrease or remains the same as it moves along the track? Explain.​

Answer 1

Answer:

centre made of a solid cone radius R and height H