The center of mass refers to the point where you can consider all of the mass of

Question

The center of mass refers to the point where you can consider all of the mass of the object to be concentrated, so that you can treat the object like a point partide. All the forces that are acting on it then cause that point to move according to Newton's 2-Law, F·ma. That's why it's the 'center. a) Calculate the center of mass of the following system of 3 masses connected by a massless rod Mark it on the figure with an . 2 k 1kg 5 b) If you were to at the rod at the location of the center of mass, would ½ the mass be to the left and the others to the right? c) Your TA should have brought a meter stick to the tutorial. One member of your group should support the ruler with their 2 index fingers, one finger on one end and the other on the other end. Move your fingers slowly (SLOWLY). What happens? Keep sliding your fingers until they meet. What position onthe ruler do they meet at? d) Draw a free body diagram for the ruler with the index fingers at two support positions on the ruler. Given what you have drawn, why do you think only one finger slips and moves at time? Why should they converge at the center of mass?

Explanation / Answer

Com = (m1)(x1)+(m2)(x2) ÷ (m1)+(m2)

= 5×0 + 2×1 + 1×6 ÷(5+2+1) = 8÷8 = 1

Com is at x = 1 .

Means com lies at 2kg mass of the system.

B). If we cut the location from mid of mass into two parts then both the parts will not have equal mass

Left part has mass 7 kg and right part will have mass 1 kg.

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