A cylinder sits on top of a cube. How far above the table's surface is the center of mass of the combined object.
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A cylinder sits on top of a cube. How far above the table's surface is the center of mass of the combined object.
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- A 3 kg plank is 0.6 m in length and has its center of mass at the geometrical center. Masses of 1 kg an 3 kg are attached at opposite ends of the plank. Find the center of mass of the whole system. 1 kg 3 kg Where is the COM? 3 kgb) Enter the mass (kg) of the 3D body: Enter the Moment (kg.m) of the 3D body about the y-axis: Enter the x-coordinate (m) of the centre of mass of the 3D body:She lies on a plank on two scales: one at her head, the other at her feet. They are 1.71 meters apart. Her head scale reads 386 N, and her foot scale reads 398 N. How far from her feet is her center of mass?
- What are (a) the x coordinate and (b) the y coordinate of the center of mass for the uniform plate shown in the figure if L = 5.0 cm? 3L 4L (a) Number i (b) Number i 2L 2L 4L ! 2L | IL -X Units Units E mThree children are playing on a see saw. The child on the left has a mass of 45.0 kg and the middle child has a mass of 20.0 kg and the child on the right has a mass of 25.0 kg. THe center of mass of the child on the left is at a distance of 1.50 meters from the fulcrum. The center of mass of the child in the middle is a distance of 1.20 meters from the fulcrum. Where is the center of mass of the child on the right when the see saw is balanced?A 47.5-cm-by-47.5-cm checkerboard has a mass of 148.1 g. There are four 21.3-g checkers located on the checkerboard, as shown in the figure. Relative to the origin located at the bottom left corner of the checkerboard, where is the center of mass of the checkerboard-checkers system? Xcm = 22.65cm ;Ycm = 22.65cm Submit Answer Incorrect. Tries 3/99 Previous Tries
- ent Attempt in Progress In the figure, three uniform thin rods, each of length L = 48.0 cm, form an inverted U. The vertical rods each have a mass of 19.0 g; the horizontal rod has a mass of 57.0 g. What are (a) the x coordinate and (b) the y coordinate of the system's center of mass? (a) Number (b) Number Units Units XThe drawing shows a human figure approximately in a sitting position. For the purposes of this problem, there are three parts to the figure, and the center of mass of each one is shown in the drawing. These parts are: (1) the torso, neck, and head (total mass = 42.0 kg) with a center of mass located on the y axis at a point 0.355 m above the origin, (2) the upper legs (mass = 19.5 kg) with a center of mass located on the x axis at a point 0.178 m to the right of the origin, and (3) the lower legs and feet (total mass = 10.5 kg) with a center of mass located 0.487 to the right of and 0.206 m below the origin. Find the (a) x coordinate and (b) the y coordinate of the center of mass of the human figure. Note that the mass of the arms and hands (approximately 12% of the whole-body mass) has been ignored to simplify the drawing. (a) Number (b) Number Units UnitsA metal soda can of uniform composition has a mass of 0.134 kg and is 12.6 cm tall (see the figure). The can is filled with 1.42 kg of soda. Then small holes are drilled in the top and bottom (with negligible loss of metal) to drain the soda. What is the height h of the center of mass of the can and contents (a) initially and (b) after the can loses all the soda? (c) If x is the height of the remaining soda at any given instant, find x when the center of mass reaches its lowest point. (a) Number i Units (b) Number i Units (c) Number i Units Splash!
- rigid body staticsA motorcycle/rider combination has a center of mass that is half a meter diagonally upward and in front of the point of contact between the wheel and the road at an angle of 30 degrees when the bike is level. What acceleration is necessary to keep the bike tilted up stably another thirty degrees?Objects with a uniform mass distribution and a symmetric shape have a center of mass at the center of the object. For non-uniform objects, the center of mass needs to be determined experimentally. To measure the center of mass of such an object, a pivot is placed in the middle of a board and the top of the non-uniform object is placed to the right of the pivot. When a uniform 10.0 kg mass has its center placed 60.0 cm to the left of the pivot the system balances perfectly (as shown below). The mass of the non-uniform object is measured with an electronic scale in the lab and found to beM = 39.8 kg . Top of non-uniform object 10.0 kg M 60.0 cm Part A Where is the center of mass of the non-uniform object? (report the location from the top of the object, and in cm) ΑΣΦ ? dCM = ст