it would come down to the type of triangle.
2/3 * h
Center of mass of an equilateral triangle is located at its geometric center (centroid).
The centroid - where the medians meet.
Yes and no. Each median divides the triangle into two such that for any point on the median, the mass on one side is balanced by the mass on the other. But the mass ahead of that point may or may not balance the mass behind. It is the point of intersection of the medians - the centroid - which is the centre of mass or centre of balance of the triangle.
Centre of area for plane triangle (no thickness, theory only) Line from apex to middle of opposite side, repeat for another apex, intersection is centre of area. > If triangle has thickness go from centre of area vertically down to half thickness of material. This is the centre of mass or centroid
2/3 * h
Center of mass of an equilateral triangle is located at its geometric center (centroid).
The centroid - where the medians meet.
Apex Mass and height have the same effect on gravitational potential energy.
Yes and no. Each median divides the triangle into two such that for any point on the median, the mass on one side is balanced by the mass on the other. But the mass ahead of that point may or may not balance the mass behind. It is the point of intersection of the medians - the centroid - which is the centre of mass or centre of balance of the triangle.
Centre of area for plane triangle (no thickness, theory only) Line from apex to middle of opposite side, repeat for another apex, intersection is centre of area. > If triangle has thickness go from centre of area vertically down to half thickness of material. This is the centre of mass or centroid
Assuming it has been lifted straight up, to a height of "h" over the table, the center of mass would be at a height "h/4" over the table. The reasoning is as follows: You can divide the rope into two halves, the half that is lifted up (which has a center of mass of "h/2"), and the half that is still on the table (which has a center of mass of 0). Take the average of both, since both parts have the same weight (or mass).
Assuming the mass is evenly distributed around the cylinder's surface, you simply find the midway points between its three axes of symmetry. The midway point of the cylinder on the x-y plane is the center of the circle projected onto it and its midway point on the z-axis is half of the cylinder's height. Therefore, the center of mass of a hollow, evenly-distributed cylinder is at the center of the circle that divides the cylinder's height in two.
GPE = Mass * Height so Mass = GPE/Height
In Bohr's model , the atoms mass is found at its center instead of distributed throughout.this is for apex
I think, it lies in 1/4 of height measured from the base(in the centre of the square, of course) I did the calculation using integral
The three medians are concurrent at a point known as the triangle's centroid. This is the center of mass of the triangle. Two-thirds of the length of each median is between the vertex and the centroid, while one-third is between the centroid and the midpoint of the opposite side.