Three uniform sticks, each of mass , are placed on the floor as follows: stick 1

Question

Three uniform sticks, each of mass , are placed on the floor as follows: stick 1 lies along the axis from = 0 to = 2.0 , stick 2 lies along the axis from = 0 to = 2.0 , stick 3 lies along the axis from = 2.0 to =4.0 . Part A A) Find the -coordinate of the center of mass of the sticks. Express your answer using m. B) Find the -coordinate of the center of mass of the sticks. Express your answer using m. C)How would the location of the center of mass be affected if the mass of the sticks were doubled?

Explanation / Answer

centre of mass of stick 1=1m centre of mass of stick 2=1m centre of mass of stick 3=3m centre of mass of system=m*1+m*1+3m/(3m)=5/3m=1.66m IF MASS IS DOUBLED NO CHANGE IN POSITION OF CENTRE OF MASS AS 2 WILL BE CANCELLED OUT IN NUMERATOR AND DENOMINATOR IN THE ABOVE EXPRESSION.

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