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1) Define center of mass. 2) How is center of mass related to inertia? 3) How is center of mass related to gravity? 4) When is a free-standing object stable? 5) Why is the concept of center of mass useful? 6) A father and his young son get on a teeter-totter. The son sits 2 m from the center, but the father has to sit closer to balance.
a. Determine the coordinate of the center of mass for the three people, assuming x = 0 is where the 70 kg person is standing. b. The person of mass 82 kg starts sprinting to the right at a speed of 3 m/s. Find the velocity of the center of mass. c. Assume now that at the exact same time the 82 kg person starts running, the 70 kg person starts
1) Define center of mass. The center of mass of an object is the average point of the mass of the object. 2) How is center of mass related to inertia? The center of mass of an object moves inertially, that is, if there is no net force on the object, the center of mass will travel in a straight line, even if the object is spinning.
Give an explanation in terms of external forces and center-of-mass concepts. The net external Force on the system is zero, so there is charr in the position the center O-R mass.
Question 1 (**) Four particles A, B, C and D have masses 1kg, 2kg, 3kg and 4kg, respectively. The respective coordinates of the particles A, B, C and D are (2,3), (4,0), (−1,5) and (− −3, 4). a) Find the coordinates of the centre of mass of this system of four particles.
(a) Show that the centre of mass of the lamina is 26 cm from the edge AB . (b) Explain why the centre of mass of the lamina is 5 cm from the edge GF . (c) The point X is on the edge AB and is 7 cm from A , as shown in the diagram below. Answer all questions. A hot air balloon moves vertically upwards with a constant velocity. When the balloon is at
The solutions provided show students step-by-step methods for solving center of mass problems by using calculus, geometry, and algebra to find the x and y coordinates of the center of mass.
