A gizmo has a plumb-bob of mass m = 75 kg swinging in an arc of radius 40cm rotating circularly around a vertical axis.
Posted: Sat Jul 02, 2022 7:36 pm
A gizmo has a plumb-bob of mass m = 75 kg swinging in an arc ofradius 40cm rotating circularly around a vertical axis. This isbalanced balanced by a counter weight M = 100 kg via two pulleysand a rope of negligible mass suspended off the ground a height h =30 cm. Due to friction the weight very slowly falls to the ground.Include on your scratch (show your work) an expression for thespeed of the plumb-bob and it's moment of inertia. Calculate theseif you can.
(a) what is the angle of the rope initially? deg fromvertical
(b) What is the angle of the rope just before the counterweighthits the ground? angle? deg
(c) Write an expression for the velocity of the plumb-bob andit's moment of inertia when the counterweight is at height h?
(a) what is the angle of the rope initially? deg fromvertical
(b) What is the angle of the rope just before the counterweighthits the ground? angle? deg
(c) Write an expression for the velocity of the plumb-bob andit's moment of inertia when the counterweight is at height h?