a) You have two uniform solid spheres. The ratio of the moments of intertia is I

Question

a) You have two uniform solid spheres. The ratio of the moments of intertia is I2/I1 = 8.34. The ratio of the radii is

R2/R1 = 0.786

Find the ratio of the masses M2/M1.
1

b) An oddly shaped object rotates about an axis through its center of mass, and has moment of inertia Io. When it rotates about axis parallel to the original axis at distance d = 8.32 m from the center of mass, the moment of inertia increases by ?I = 4.95 kg-m2. Find M, the mass of the object.
2 kg

c) Three point masses lie along a rigid, massless rod of length L = 8 m :

- Two particles, both of mass m = 4.66 kg, lie on opposite ends of the rod.
- Mass M = 2.61 kg is in the center of the rod.

Assume the rod is in the x-y plane and rotates about the y-axis at constant angular speed ? = 6.24 rad/s.. The axis passes through the rod at distance d = 1.85 m from one end.

Find K, the kinetic energy of this system:
3 J a) You have two uniform solid spheres. The ratio of the moments of intertia is I2/I1 = 8.34. The ratio of the radii is

R2/R1 = 0.786

Find the ratio of the masses M2/M1.
1

b) An oddly shaped object rotates about an axis through its center of mass, and has moment of inertia Io. When it rotates about axis parallel to the original axis at distance d = 8.32 m from the center of mass, the moment of inertia increases by ?I = 4.95 kg-m2. Find M, the mass of the object.
2 kg

c) Three point masses lie along a rigid, massless rod of length L = 8 m :

- Two particles, both of mass m = 4.66 kg, lie on opposite ends of the rod.
- Mass M = 2.61 kg is in the center of the rod.

Assume the rod is in the x-y plane and rotates about the y-axis at constant angular speed ? = 6.24 rad/s.. The axis passes through the rod at distance d = 1.85 m from one end.

Find K, the kinetic energy of this system:
3 J

Explanation / Answer

i2/i1=m2r2^2/m1r1^2 r2/r1=0.786 m2/m1=13.4999

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