A pendulum consists of a 4 kg rod and an 8 kg cylinder. (a) Determine the loca- tion of the CG of the pendulum. (b) Calculate the mass moment of inertia of the pendulum about an axis perpendicular to the page and passing through the CG. y 2.5 m G 0.5 m

1. A circular disk has a density p(r) which varies as a function of distance from the center of the disk. The disk has a radius R and a thickness t. Assuming p(r) = Po(1-r/R): Calculate the total mass of the disk. a. b. Calculate the moment of inertia of the disk about an axis out of the plane of the page and passing through Point G. C. Calculate the moment of inertia of the disk about an axis out of the plane of the page and passing through Point O. G R

A composite pendulum is made of a uniform slender rod and a uniform disk. If the rod has length of 1.7 m and mass of 9.0 kg, and the disk has radius of 0.38 m and mass of 6.7 kg, determine the radius of gyration k about the centroidal x axis. Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point, and proper unit. 1 R G Your Answer: Answer G y Profile view X units

The uniform rod of length 4b and mass m is bent into the shape shown. The diameter of the rod is small compared with its length. Determine the moments of inertia of the rod about the three coordinate axes. Use the values m = 7.9 kg and b = 485 mm. Answers: 1xxx = i lyy= i Izz = i kg.m² kg-m² kg-m²