You work for a carpeter and are building a bracket composed of wood. You want to

Question

You work for a carpeter and are building a bracket composed of wood. You want to chow your boss that phisics can be useful, so you decided to calculate the center of mass of the bracket. If the two sections of wood have lenghts L1=1.2 and L2=2.0 and masses m1=0.5kg and m2=1.0kg, what is the locattion of the center of mass?

You work for a carpeter and are building a bracket composed of wood. You want to chow your boss that phisics can be useful, so you decided to calculate the center of mass of the bracket. If the two sections of wood have lengths L1=1.2 and L2=2.0 and masses m1=0.5kg and m2=1.0kg, what is the location of the center of mass?

Explanation / Answer

xcm= (m1*x1 + m2*x2)/m1+m2= (0 + 1*1.0)/1+0.5 = 1/1.5= 2/3= 0.67

ycm= (m1*y1 + m2*y2)/m1+m2= ( 0.5*0.6 + 0)/1+0.5 = 0.3/1.5= 1/5= 0.2

Since the mass of the blocks is concentrated at L/2

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