Classical Mechanics (Kibble & Berkshire) · Problem 2.14

Newton's laws of motion and the law of gravitation — T.W.B. Kibble, F.H. Berkshire

Physics — Mechanics · angular-velocity-rigid-body

Problem

A particle is sliding along a smooth radial groove in a circular turntable which is rotating with constant angular speed

\Omega

. The distance of the particle from the rotation axis at time

t

is observed to be

r = b\cosh\Omega t

for

t \geq 0

, where

b

is a positive constant. Find the speed of the particle (relative to a fixed reference frame) at time

t

, and find the magnitude and direction of the acceleration.