A hollow sphere of mass, M and radius R, is rolling down an inclined plane from rest from a height h without slipping as shown below.
Derive an expression for the linear speed v at the bottom of the ramp in terms of g, L, and ΞΈ.
Show that the magnitude of the linear acceleration |π| can be express as 3/5 ππ πππ.
Show that the frictional force Ffric can be express as 2/3 ππ.
What is the minimum coefficient of friction Β΅ for a hollow sphere to roll without slipping on an inclined plane of inclination ΞΈ?
Show that the rotational kinetic energy KErot can be expressed as 2/5 ππβ.