Three small balls of mass 5.6 kg, 2.2 kg, and 2.8 kg areconnected by light rods laying along the y-axis. The rod connectingthe first and second balls is 4.6 m long and the rod connecting thesecond and third balls is 2.5 m. The entire system rotates aroundthe x-axis, which is between the first and second balls and adistance 2.9 m from the first ball, at a rotational speed 1.2s-1
(a) What are the linear speeds of the three objects?
First Object:Â Â 3.48 m/s
Second Object:Â Â 2.04 m/s
Third Object: 5.04 m/s
(b) What is the linear kinetic energy of each of the balls?
First Object:Â Â 33.909 J
Second Object:Â Â 4.577 J
Third Object:Â Â 35.56224 J
(c) What is the total kinetic energy of the system? 74.04824J
(d) What is the moment of inertia around the x-axis of each of theballs?
First Object:Â Â 47.096 kg*m^2
Second Object:Â Â 6.358 kg*m^2
Third Object:Â Â 49.392 kg*m^2
(e) What is the rotational kinetic energy of each of theballs?
First Object:Â Â 33.909 J
Second Object:Â Â 4.5776 J
Third Object:Â Â 35.56224 J
(f) What is the rotational kinetic energy of the system?
74.049 J
(g) What is the distance of the center of mass of the system fromthe first ball?
(h) What moment of inertia of each ball around the center ofmass?
First Object:
Second Object:
Third Object:
(i) What is the moment of inertia of the system with respect to thecenter of mass? It's not 2.97, 3.4188, or 2.31
(j) What is the moment of inertia due to the shift of therotational axis from the center of mass to the x-axis?
(k) What is the moment of inertia of the system around thex-axis?
(l) What is the linear speed of the system?
(m) What is the rotational speed of the system?
(n) What is the linear kinetic energy of the system?
(o) What is the rotational kinetic energy of the system? 74.049J
don't know g-n help please and thank you!