Help finding mass and center of mass?

A thing metallic plate covers the region in the xy-plane inside the circle centered at the origin with radius π/2, above the x-axis and above the line y= -x/2. Its density at the ...show more

A student throws a long stick of length 0.11m and mass 0.5 kg into the air in such a way that the center of mass rises vertically. At the moment it leaves his hand, the stick is horizontal and the speed of the end of the stick nearest to him is zero...

In the 1968 Olympic Games, University of Oregon jumper Dick Fosbury introduced a new technique of high jumping called the "Fosbury flop." It contributed to raising the world record by about 30 cm and is presently used by nearly every world...

i'm helping a friend with calculus, and we're working on a center of mass question. it says to find the x coordinate of the center of mass, x bar, we take M_y / M, where M_y is the moment about the y axis and M is the mass of the entire object. density...

I am considering a differential ring at a height of z from the center, then calculating the differential mass dm and then using the definition of center of mass I am integrating zdm from 0 to R(radius of bowl)and then doing the requisite calculations...

Four very thin rods, each 8.0 m long, are joined to form a square, as part (a) of the drawing shows. The center of mass of the square is located at the coordinate origin. The rod on the right is then removed, as shown in part (b) of the drawing. What...

Three masses located on a x - y plane have the following coordinates; a 5 kg mass has coordinates given by (2, -3) m; a 4 kg mass has coordinates (-4, 2) m; a 2 kg mass has coordinates (3, 3) m. Find the coordinates of the center of mass to two significant...

You are holding a shopping basket at the grocery store with two 0.60 kg cartons of cereal at one end of the basket. The basket is 0.76 m long. Where should you place a half gallon of milk (1.8 kg) so that the center of mass (COM) of your groceries is...

Find the center of mass of this shape. Each m is a sphere in which the mass of m_1 = m_2 = m_3 , but the mass of m_4 is equal to twice that of m_1. L= length L is equal to the length between m_4 and m_1 and between m_3 and m_2 1.5L is the length between...