Question

A uniform wooden meter stick has a mass of m = 799 g. A clamp can be attached to the measuring stick at any point Palong the stick so that the stuck can rotate freely about point P, which is at a distance d from the zero-end of the stick as shown.

 Part (a) Calculate the moment of inertia in kg-m of the meter stick if the pivot point P is at the 50-cm mark. 

 Part (b) Calculate the moment of inertia in kg-m? of the meter stick if the pivot point Pis at the 0-cm mark d = 0 cm.

 Part (c) Calculate the moment of inertia in kg-m2 of the meter stick if the pivot point Pis at the d = 25 cm mark. 

 Part (d) Calculate the moment of inertia in kg-m2 of the meter stick if the pivot point Pis at the d = 81 cm mark.

Part (e) Enter a general expression for the moment of inertia of a meter stick I, of mass m in kilograms pivoted about point P, at any distance d in meters from the zero-cm mark.

 Part (f) The meter stick is now replaced with a uniform yard stick with the same mass of m = 799 g. Calculate the moment of inertia in kg-m2 of the yard stick if the pivot point P is 50 cm from the end of the yardstick.

Answer 1