A 3 kg mass and a 4 kg mass are attached to either end of a 3 m long massless ro

Question

A 3 kg mass and a 4 kg mass are attached to either end of a 3 m long massless rod

A 3 kg mass and a 4 kg mass are attached to either end of a 3 m long massless rod. Find the center of mass of the system.___________ m, from the 3 kg mass. Find the rotational inertia (I) of the system when rotated about: the end with the 3 kg mass.________ kg m^2 the end with the 4 kg mass._________ kg m^2 the center of the rod._______ kg m^2. the center of mass of the system._______ kg m^2 (compare this to parts b -d. Is this what you expect?) Suppose a frictionless pivot is attached at the center of the mass, such that the system is free to rotate about this point in the horizontal plane. A force of 6 N is exerted perpendicular to the rod, pushing directly on the 4 kg mass. what is the size of the system's angular acceleration that would result?__________ rad/s^2.

Explanation / Answer

x = (m1*x1 + m2*x2)/(m1+m2)
x = (0 + 4*3) /(3+4)
x = 1.71 m

Distance from 3 kg mass, x = 1.71 m
When rotated about 3kg mass,

I = (3*0^2) + (4*3^2)
I = 36 Kg m^2

When rotated about 4kg mass,

I = (4*0^2) + (3*3^2)
I = 27 Kg m^2


When rotated about center of the rod,

I = (4*1.5^2) + (3*1.5^2)
I = 15.75 Kg m^2


When rotated about center of mass,

I = (4*1.29^2) + (3*1.71^2)
I = 15.42 Kg m^2

please post seperate questions in seperate post only.

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