The pendulum is suspended from point O and consists of two bars, each weighing 10 lb. Determine the moment of inertia of the pendulum about the axis that passes through a) bolt

A composite pendulum is made of a uniform slender rod and a uniform disk. If the rod has length of 1.1 m and mass of 12.2 kg, and the disk has radius of 0.35 m and mass of 9.7 kg, determine the mass moment of inertia (in kg • m) about the centroidal x axis that passes through its center of gravity (seen from the profile view). Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. y G G R Profile view Your Answer: Answer

3. Consider the following shape with a = 1 ft and b = 3 ft. a. Determine the centroid. b. Determine the moment of inertia about the horizontal centroidal axis Determine the moment of inertia about the vertical centroidal axis. c. a b

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 = 9.7 kg and b = 650 mm. Answers: Ixx = i lyy= Izz i i kg-m² kg.m² kg.m²

Calculate the center of mass of the 6 lb right angle bar assuming constant density.

SOLVE IN DIGITAL FORMAT STEP BY STEP

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

6 Given the system of points A,B,C with A(1,-1,1), B(2,0,2), C(-1,1,0) and masses m₁= 2,m₂=1,m3=4 respectively. Determine the moments and events inertia of the system with respect to the system of axes Oxyz. Then find the moments of inertia with respect to the primary axis system with origin O and to define the addresses of these axes.

2

The slender rod in the figure has a mass 10 kg. Find mass moment of inertia (MMI) about an axis perpendicular to the screen and passing through point O. 500 mm A A. 0.833 kg.m2 B. 5.27 kg.m2 0.675 kg.m2 C. 4.598 kg.m2 D.