I need help with number 3 and 5 only ( please help me ) An object is formed by a

Question

I need help with number 3 and 5 only ( please help me )

An object is formed by attaching a uniform, thin rod with a mass of m 6.95 kg and length L 4.96 m to a uniform sphere with mass m 34.75 kg and radius R 1.24 m. Note m 5mm and L 4R 1) What is the moment of inertia of the object about an axis at the left end of the rod? 14.14.15 kg-m Submit Your submissions 1414.15 Computed value: 1414.15 Submitted Thursday, April 6 at 6:54 PM Feedback: Correct 2) If the object is fixed at the left end of the rod, what is the angular acceleration if a force F 489 N is exerted perpendicular to the rod at the center of the rod? 0.85 rad/s Submit Your submissions 0.85 Computed value: 0.85 Submitted Thursday, April 6 at 7:08 PM Feedback Correct

Explanation / Answer

The moment of inertia for a rod rotating around its center is J1=1/12*m1*sqr(r) = 0.645 kg*m2

The moment of inertia for a solid sphere rotating around its center is J2=2/5*m2*sqr(r) = 15.478 kg*m2

we have to use Steiner theorem
In this case h1=(L+R)/2 = 6.2
and h2=R/2 = 0.62
So
J1""=J1+m1*sqr(h1) = J1""=17.95 kg*m2
J2""=J2+m2*sqr(h2) = J2""=42.84 kg*m2
and
Jt2=J1""+J2""

THIRD ANSWER
Jt2=60.79 kg*m2

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