Physics: Apotter s wheel (a solid, uniform disk) of mass 7.0 kg and .65 m radius spins about its central axis. a 2.1 kg lump of clay is dropped onto the wheel at a distance .41 m from the axis. calculate the rotational inertia of the system. a. 2.5 kg · m2 b. 1.8 kg · m2 c. 1.5 kg · m2 d. 0.40 kg · m2

22 N applied forceExplanation: Since they are both pushing the wagon in the same direction the force adds up....

Apotter s wheel (a solid, uniform disk) of mass

samehajamal1234567

11.01.2022

The rotational inertia of the system is 1.8 kg.m².

(b) is correct option.

Explanation:

Given that,

Mass of disk = 7.0 kg

Radius = 0.65 m

Mass of clay = 2.1 kg

Distance = 0.41 m

We need to calculate the rotational inertia of the system

Using formula of rotational inertia

I''=I+I'

Where, I= the moment of inertia of a solid disk

I'=the moment of inertia of lump of clay

Put the value into the formula

$I=\dfrac{MR^2}{2}+mr^2$

$I=\dfrac{1}{2}\times7.0\times(0.65)^2+2.1\times0.41^2$

$I=1.8\ kg.m^2$

Hence, The rotational inertia of the system is 1.8 kg.m².

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