Moment of Inertia Exam Prep
Shared by a Veda learner · Generated with Veda AI
What you'll study, topic by topic
Moment of Inertia Exam Prep
Sample questions with model answers
Every question in the paper gets a full exam-length answer in the app — organised by marks, the way a topper writes it.
A disc is recast into a thin hollow cylinder of same radius. Which will have larger moment of inertia? Explain.
Show answer outline
The hollow cylinder has larger moment of inertia due to mass being distributed further from the axis.
The full exam-length answer is in the app.
Point masses of 1, 2, 3 and 10 kg are lying at the points $(0, 0)$, $(2m, 0)$, $(0, 3m)$ and $(-2m, -2m)$ respectively in x-y plane. Find the moment of inertia of this system about y - axis. (in kg-$m^2$).
Show answer outline
Moment of inertia about y-axis is calculated using $I_y = \sum m_ix_i^2$.
The full exam-length answer is in the app.
Two bodies of masses 1 kg and 2 kg are attached to the ends of a 2 m long weightless rod. This system is rotating about an axis passing through the middle point of rod and perpendicular to length. Calculate the M.I. of system.
Show answer outline
Moment of inertia is $I = \frac{1}{2} \times 2 \times (1^2 + 2^2) = 2.5 \text{ kg-m}^2$.
The full exam-length answer is in the app.
Two rings have their moments of inertia in the ratio $4:1$ and their diameters are in the ratio $4:1$. Find the ratio of their masses.
Show answer outline
The ratio of their masses is 1:1.
The full exam-length answer is in the app.
Study it properly — free, in the app
The full Veda Bites deck, complete notes, spaced-repetition flashcards, leveled MCQs, tests and games for this kit — plus Daily Facts and the Arena, every day.